Kazufumi Ito

Works (141)

Updated: June 21st, 2025 05:02

2025 article

Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data

Ito, K., Jin, B., Wang, F., & Zou, J. (2025, May 14). SIAM Journal on Imaging Sciences.

By: K. Ito n, B. Jin *, F. Wang* & J. Zou *

author keywords: iterative direct sampling method; elliptic inverse problem; Cauchy data; large noise
topics (OpenAlex): Numerical methods in inverse problems; Sparse and Compressive Sensing Techniques; Microwave Imaging and Scattering Analysis
Source: Web Of Science
Added: June 16, 2025

2024 article

A Direct Probing Method of an Inverse Problem for the Eikonal Equation

Ito, K., & Liang, Y. (2024, April 5). SIAM Journal on Scientific Computing.

By: K. Ito n & Y. Liang *

author keywords: Eikonal equations; traveltime tomography; direct probing method
topics (OpenAlex): Numerical methods in inverse problems; Numerical methods in engineering; Electromagnetic Scattering and Analysis
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Source: Web Of Science
Added: August 26, 2024

2024 article

Inverse coefficient problems for one-dimensional time-fractional diffusion equations

Imanuvilov, O., Ito, K., & Yamamoto, M. (2024, October 28). Applied Mathematics Letters.

By: O. Imanuvilov*, K. Ito n & M. Yamamoto *

author keywords: Inverse coefficient problem; Time-fractional diffusion equation; Uniqueness; One-dimensional; Transformation operator
topics (OpenAlex): Fractional Differential Equations Solutions; Numerical methods in inverse problems; Differential Equations and Boundary Problems
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Source: Web Of Science
Added: November 25, 2024

2023 article

Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains

Liu, W., Zhao, T., Ito, K., & Zhang, Z. (2023, January 16). Applied Numerical Mathematics.

By: W. Liu *, T. Zhao*, K. Ito n & Z. Zhang *

author keywords: Optimal control; Dirichlet boundary control; Complex connected domain; Polar coordinates; Fourier finite volume element method; A priori error estimates
topics (OpenAlex): Advanced Mathematical Modeling in Engineering; Advanced Numerical Methods in Computational Mathematics; Differential Equations and Numerical Methods
Source: Web Of Science
Added: April 24, 2023

2022 article

Least-squares method for recovering multiple medium parameters

Ito, K., Liang, Y., & Zou, J. (2022, October 12). Inverse Problems.

By: K. Ito n, Y. Liang & J. Zou

author keywords: inverse medium problem; multiple parameters; least-squares method; mixed regularization
topics (OpenAlex): Electrical and Bioimpedance Tomography; Numerical methods in inverse problems; Statistical and numerical algorithms
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Source: Web Of Science
Added: November 7, 2022

2021 article

Least squares formulation for ill-posed inverse problems and applications

Chung, E., Ito, K., & Yamamoto, M. (2021, March 21). Applicable Analysis.

By: E. Chung *, K. Ito n & M. Yamamoto *

author keywords: Ill-posed inverse problem; least squares formulation; continuous dependency on data
topics (OpenAlex): Numerical methods in inverse problems; Image and Signal Denoising Methods; Sparse and Compressive Sensing Techniques
Source: Web Of Science
Added: March 29, 2021

2021 article

Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems

Zhao, T., Ito, K., & Zhang, Z. (2021, April 21). Journal of Computational and Applied Mathematics.

By: T. Zhao*, K. Ito n & Z. Zhang *

author keywords: Semi-decoupling; Nonlinear singular problem with interface; Puiseux series; Compact finite volume method; Augmented variable; High order convergence
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Differential Equations and Numerical Methods; Numerical methods for differential equations
TL;DR: An accurate semi-decoupling numerical method has been proposed for nonlinear singular differential equation with interface, which combines Puiseux series asymptotic technique with augmented compact finite volume method to decouple the singular interface problem and get high order accurate numerical solution. (via Semantic Scholar)
Source: Web Of Science
Added: June 21, 2021

2020 article

A Neural Network-Based Policy Iteration Algorithm with Global $$H^2$$-Superlinear Convergence for Stochastic Games on Domains

Ito, K., Reisinger, C., & Zhang, Y. (2020, May 18). Foundations of Computational Mathematics.

By: K. Ito n, C. Reisinger * & Y. Zhang *

author keywords: Hamilton-Jacobi-Bellman-Isaacs equations; Neural networks; Policy iteration; Inexact semismooth Newton method; Global convergence; q-superlinear convergence
topics (OpenAlex): Model Reduction and Neural Networks; Fluid Dynamics and Turbulent Flows; Stochastic processes and financial applications
TL;DR: It is established that the numerical solutions converge globally in the H2, and it is demonstrated that this convergence is superlinear, by interpreting the algorithm as an inexact Newton iteration for the HJBI equation. (via Semantic Scholar)
Source: Web Of Science
Added: June 8, 2020

2020 article

A numerical integration-based Kalman filter for moderately nonlinear systems

King, S. A., Ito, K., & Hodyss, D. (2020, January 1). Tellus A Dynamic Meteorology and Oceanography.

By: S. King*, K. Ito n & D. Hodyss *

author keywords: data assimilation; Bayesian filtering; Kalman filtering; numerical integration
topics (OpenAlex): Meteorological Phenomena and Simulations; Target Tracking and Data Fusion in Sensor Networks; Climate variability and models
TL;DR: A computationally efficient data assimilation scheme based on Gaussian quadrature filtering that potentially outperforms current methods in dataAssumed Gaussian Reduced (AGR) filter is introduced that outperforms ensemble Kalman filters for a Korteweg-de Vries model and a Boussinesq model. (via Semantic Scholar)
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13. Climate Action (Web of Science)
Source: Web Of Science
Added: March 8, 2021

2019 article

A Parallel Domain Decomposition Method for the Helmholtz Equation in Layered Media

Heikkola, E., Ito, K., & Toivanen, J. (2019, January 1). SIAM Journal on Scientific Computing.

By: E. Heikkola*, K. Ito* & J. Toivanen*

author keywords: Helmholtz equation; domain decomposition method; preconditioned iterative method; ultrasonic tomography; geological survey
topics (OpenAlex): Electromagnetic Simulation and Numerical Methods; Advanced Numerical Methods in Computational Mathematics; Numerical methods in engineering
TL;DR: An efficient domain decomposition method and its parallel implementation for the solution of the Helmholtz equation in three-dimensional layered media are considered. (via Semantic Scholar)
Source: Web Of Science
Added: November 25, 2019

2017 article

Variational Gaussian approximation for Poisson data

Arridge, S. R., Ito, K., Jin, B., & Zhang, C. (2017, December 11). Inverse Problems.

By: S. Arridge *, K. Ito n, B. Jin * & C. Zhang *

author keywords: variational Gaussian approximation; Poisson data; hierarchical modeling; Kullback-Leibler divergence; alternating direction maximization
topics (OpenAlex): Statistical Methods and Inference; Sparse and Compressive Sensing Techniques; Gaussian Processes and Bayesian Inference
TL;DR: This work analyzes a variational Gaussian approximation to the posterior distribution arising from the Poisson model with a Gaussian prior, and derives an explicit expression for the lower bound, and shows the existence and uniqueness of the optimalGaussian approximation. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2016 article

A Sequential Method for a Class of Stable Mathematical Programming Problems

Ito, K., & Kunisch, K. (2016, January 1). SIAM Journal on Optimization.

By: K. Ito n & K. Kunisch *

author keywords: sequential linearization; optimal bilinear control; mathematical programming; nonsmooth optimization
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Spacecraft Dynamics and Control
TL;DR: The first order SP method does not rely on an approximation of the Hessian of the Lagrange functional and consequently it avoids instabilities due to possible indefiniteness far from a local minimum, and is especially well suited for bilinear control problems and can be extended to certain classes of nonsmooth and convex problems. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 article

Analysis on a Nonnegative Matrix Factorization and Its Applications

Chow, Y. T., Ito, K., & Zou, J. (2016, January 1). SIAM Journal on Scientific Computing.

By: Y. Chow, K. Ito* & J. Zou

author keywords: nonnegative matrix factorization; clustering; feature extraction; multilevel analysis; inverse problems
topics (OpenAlex): Sparse and Compressive Sensing Techniques; Medical Image Segmentation Techniques; Image and Signal Denoising Methods
TL;DR: A sparse low-rank approximation of positive data and images in terms of tensor products of positive vectors is proposed and a semismooth Newton method based on primal-dual active sets for the nonnegative factorization is proposed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 article

Reduced Order Gaussian Smoothing for Nonlinear Data Assimilation

King, S. A., Kang, W., & Ito, K. (2016, January 1). IFAC-PapersOnLine.

By: S. King*, W. Kang * & K. Ito n

author keywords: State Estimation; Large-Scale Systems; Order Reduction; Smoothing; Filtering
topics (OpenAlex): Meteorological Phenomena and Simulations; Target Tracking and Data Fusion in Sensor Networks; Geophysics and Gravity Measurements
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13. Climate Action (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 article

The Nonnegative Matrix Factorization: Regularization and Complexity

Ito, K., & Landi, A. K. (2016, January 1). SIAM Journal on Scientific Computing.

By: K. Ito* & A. Landi

author keywords: nonnegative matrix factorization; primal-dual active set; regularization; complexity
topics (OpenAlex): Neural Networks and Applications; Image Retrieval and Classification Techniques; Blind Source Separation Techniques
TL;DR: The choice of regularization parameters for a regularized NMF problem is discussed, and a primal-dual active set method which enhances the representation is developed which develops a method to choose the proper complexity based on the concept of NMF-singular values. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2015 article

A convex analysis approach to optimal controls with switching structure for partial differential equations

Clason, C., Ito, K., & Kunisch, K. (2015, March 25). ESAIM Control Optimisation and Calculus of Variations.

By: C. Clason*, K. Ito n & K. Kunisch*

author keywords: Optimal control; switching control; partial differential equations; nonsmooth optimization; convexification; semi-smooth Newton method
topics (OpenAlex): Optimization and Variational Analysis; Numerical methods in inverse problems; Stability and Controllability of Differential Equations; Advanced Optimization Algorithms Research; Stability and Control of Uncertain Systems
Source: Web Of Science
Added: August 6, 2018

2015 article

Direct Sampling Method for Diffusive Optical Tomography

Chow, Y. T., Ito, K., Liu, K., & Zou, J. (2015, January 1). SIAM Journal on Scientific Computing.

By: Y. Chow *, K. Ito n, K. Liu * & J. Zou *

author keywords: direct sampling method; diffusive optical tomography
topics (OpenAlex): Optical Imaging and Spectroscopy Techniques; Photoacoustic and Ultrasonic Imaging; Electrical and Bioimpedance Tomography
TL;DR: A simple and efficient direct sampling method (DSM) is proposed to locate inhomogeneities inside a homogeneous background and solve the DOT problem in both full and limited aperture cases. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2015 article

Finite difference approximations for measure-valued solutions of a hierarchicallysize-structured population model

Ackleh, A. S., Chellamuthu, V. K., & Ito, K. (2015, January 1). Mathematical Biosciences & Engineering.

By: A. Ackleh *, V. Chellamuthu & K. Ito n

author keywords: Hierarchically size-structured population model; measure-valued solutions; finite-difference approximations; convergence analysis
MeSH headings : Algorithms; Computer Simulation; Finite Element Analysis; Humans; Models, Statistical; Population Density; Population Dynamics; Time Factors
topics (OpenAlex): Mathematical and Theoretical Epidemiology and Ecology Models; Stochastic processes and statistical mechanics; Advanced Thermodynamics and Statistical Mechanics
TL;DR: A first order finite difference scheme to compute the measure-valued solution of the quasilinear hierarchically size-structured population model, which shows that solutions to this model can become singular in finite time even if all the individual parameters are smooth. (via Semantic Scholar)
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3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2015 article

Immersed finite elements for optimal control problems of elliptic PDEs with interfaces

Zhang, Q., Ito, K., Li, Z., & Zhang, Z. (2015, June 18). Journal of Computational Physics, Vol. 298, pp. 305–319.

By: Q. Zhang *, K. Ito n, Z. Li n  & Z. Zhang *

author keywords: PDE-constrained optimization; Variational discretization; Immersed finite element; Elliptic interface problem
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Lattice Boltzmann Simulation Studies
TL;DR: This paper presents a numerical method and analysis, based on the variational discretization concept, for optimal control problems governed by elliptic PDEs with interfaces, which uses a simple uniform mesh which is independent of the interface. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 article

On the sectorial property of the Caputo derivative operator

Ito, K., Jin, B., & Takeuchi, T. (2015, March 6). Applied Mathematics Letters.

By: K. Ito n, B. Jin * & T. Takeuchi *

author keywords: Caputo fractional derivative; Sectorial property
topics (OpenAlex): Fractional Differential Equations Solutions; Nonlinear Differential Equations Analysis; Differential Equations and Numerical Methods
TL;DR: In this note, the sectorial property of the Caputo fractional derivative operator of order α∈(1,2) with a zero Dirichlet boundary condition is established. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2015 article

The Nonnegative Matrix Factorization and atomic deconvolution

Ito, K., & Landi, A. K. (2015, November 1).

By: K. Ito n & A. Landi  n

topics (OpenAlex): Sparse and Compressive Sensing Techniques; Blind Source Separation Techniques; Non-Destructive Testing Techniques
TL;DR: The NMF analysis in the case of the convolution has the clear roles of convolution kernel and signal, and the idea of the two factors to the Fourier transform and a coordinate-descent method is developed in order to determine phases. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2014 article

A Note on the Existence of Nonsmooth Nonconvex Optimization Problems

Ito, K., & Kunisch, K. (2014, March 18). Journal of Optimization Theory and Applications.

By: K. Ito n & K. Kunisch *

author keywords: Nonsmooth; Nonconvex optimization; Coerciveness
topics (OpenAlex): Optimization and Variational Analysis; Contact Mechanics and Variational Inequalities; Advanced Optimization Algorithms Research
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10. Reduced Inequalities (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2014 article

A direct sampling method for electrical impedance tomography

Chow, Y. T., Ito, K., & Zou, J. (2014, August 7). Inverse Problems.

By: Y. Chow *, K. Ito n & J. Zou *

author keywords: electrical impedance tomography; limited data; inhomogeneous inclusions; probing function; indicator function; reconstruction algorithm
topics (OpenAlex): Electrical and Bioimpedance Tomography; Geophysical and Geoelectrical Methods; Microwave Imaging and Scattering Analysis
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UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 article

Immersed Interface CIP for One Dimensional Hyperbolic Equations

Ito, K., & Takeuchi, T. (2014, July 1). Communications in Computational Physics.

By: K. Ito n & T. Takeuchi *

author keywords: CIP method; immersed interface method; hyperbolic equations in discontinuous media
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Advanced Numerical Methods in Computational Mathematics; Computational Fluid Dynamics and Aerodynamics
Source: Web Of Science
Added: August 6, 2018

2014 article

Multi-parameter Tikhonov regularization — An augmented approach

Ito, K., Jin, B., & Takeuchi, T. (2014, May 1). Chinese Annals of Mathematics Series B.

By: K. Ito n, B. Jin * & T. Takeuchi *

author keywords: Multi-parameter regularization; Augmented Tikhonov regularization; Balanced discrepancy principle
topics (OpenAlex): Numerical methods in inverse problems; Statistical and numerical algorithms; Probabilistic and Robust Engineering Design
TL;DR: A balancing principle for choosing regularization parameters from the viewpoint of augmented Tikhonov regularization is revisited, and a new parameter choice strategy is derived called the balanced discrepancy principle. (via Semantic Scholar)
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16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 article

Optimal Control with $L^p(\Omega)$, $p\in [0,1)$, Control Cost

Ito, K., & Kunisch, K. (2014, January 1). SIAM Journal on Control and Optimization.

By: K. Ito n & K. Kunisch *

author keywords: L-0 minimization; optimal control; bang-bang control; sparsity optimization; maximum principle; nonsmooth optimization; primal-dual active set method
topics (OpenAlex): Numerical methods in inverse problems; Optimization and Variational Analysis; Sparse and Compressive Sensing Techniques
TL;DR: A maximum principle is derived and existence of controls, in some cases relaxed controls, is proved, and an estimate on the consequences of relaxation are estimated. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2013 article

A direct sampling method for inverse electromagnetic medium scattering

Ito, K., Jin, B., & Zou, J. (2013, September 1). Inverse Problems.

By: K. Ito n, B. Jin* & J. Zou*

topics (OpenAlex): Numerical methods in inverse problems; Microwave Imaging and Scattering Analysis; Geophysical Methods and Applications; Electromagnetic Scattering and Analysis
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Source: Web Of Science
Added: August 6, 2018

2013 article

A variational approach to sparsity optimization based on Lagrange multiplier theory

Ito, K., & Kunisch, K. (2013, December 17). Inverse Problems.

By: K. Ito n & K. Kunisch *

topics (OpenAlex): Sparse and Compressive Sensing Techniques; Optimization and Variational Analysis; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

2013 article

Optimal control laws for traffic flow

Aihara, K., Ito, K., Nakagawa, J., & Takeuchi, T. (2013, January 24). Applied Mathematics Letters.

By: K. Aihara *, K. Ito n, J. Nakagawa* & T. Takeuchi*

author keywords: Traffic signal control; Binary optimization; Lyapunov method; Real time optimal control
topics (OpenAlex): Traffic control and management; Advanced Control Systems Optimization; Network Traffic and Congestion Control
TL;DR: Optimal “on–off” laws for the traffic signals are developed based on the bilinear control problem with the binary constraints and a real-time optimal signal law is developed using a novel binary optimization method. (via Semantic Scholar)
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16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2013 article

Recovery of inclusions in 2D and 3D domains for Poisson’s equation

Ito, K., & Liu, J.-C. (2013, June 7). Inverse Problems.

By: K. Ito n & J. Liu*

topics (OpenAlex): Electrical and Bioimpedance Tomography; Numerical methods in inverse problems; Geophysical and Geoelectrical Methods
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UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2012 article

A direct sampling method to an inverse medium scattering problem

Ito, K., Jin, B., & Zou, J. (2012, January 10). Inverse Problems.

By: K. Ito n, B. Jin * & J. Zou *

topics (OpenAlex): Microwave Imaging and Scattering Analysis; Numerical methods in inverse problems; Geophysical Methods and Applications
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Source: Web Of Science
Added: August 6, 2018

2012 article

A minimum effort optimal control problem for elliptic PDEs

Clason, C., Ito, K., & Kunisch, K. (2012, February 3). ESAIM Mathematical Modelling and Numerical Analysis.

By: C. Clason *, K. Ito n & K. Kunisch *

author keywords: Optimal control; minimum effort; L-infinity control cost; semi-smooth Newton method
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Advanced Numerical Methods in Computational Mathematics
Source: Web Of Science
Added: August 6, 2018

2012 article

A two-stage method for inverse medium scattering

Ito, K., Jin, B., & Zou, J. (2012, December 21). Journal of Computational Physics.

By: K. Ito n, B. Jin * & J. Zou *

author keywords: Inverse medium scattering problem; Reconstruction algorithm; Direct sampling method; Mixed regularization; Semi-smooth Newton method
topics (OpenAlex): Numerical methods in inverse problems; Microwave Imaging and Scattering Analysis; Ultrasonics and Acoustic Wave Propagation
TL;DR: A novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data is presented, which is accurate, computationally efficient, and robust with respect to data noise. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2012 article

The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number

Ito, K., Li, Z., & Qiao, Z. (2012, February 1). Advances in Applied Mathematics and Mechanics, Vol. 4, pp. 21–35.

By: K. Ito n, Z. Li n  & Z. Qiao *

author keywords: Navier-Stokes equations; sensitivity analysis; flow past cylinder; embedding technique; immersed interface method; irregular domain; augmented system; projection method; fluid-solid interaction
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Lattice Boltzmann Simulation Studies; Computational Fluid Dynamics and Aerodynamics
TL;DR: Numerical sensitivity analysis with respect to the Reynolds number can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 article

A Regularization Parameter for Nonsmooth Tikhonov Regularization

Ito, K., Jin, B., & Takeuchi, T. (2011, January 1). SIAM Journal on Scientific Computing.

By: K. Ito*, B. Jin & T. Takeuchi  n

author keywords: regularization parameter; nonsmooth functional; value function; error estimate
topics (OpenAlex): Numerical methods in inverse problems; Sparse and Compressive Sensing Techniques; Image and Signal Denoising Methods
TL;DR: Numerical results indicate the novel rule for choosing regularization parameters in nonsmooth Tikhonov functionals can yield results comparable with those achieved with the discrepancy principle and the optimal choice, and the algorithm merits a fast and steady convergence. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 article

A new approach to nonlinear constrained Tikhonov regularization

Ito, K., & Jin, B. (2011, September 16). Inverse Problems.

By: K. Ito n & B. Jin *

topics (OpenAlex): Numerical methods in inverse problems; Probabilistic and Robust Engineering Design; Statistical and numerical algorithms
TL;DR: A second-order sufficient optimality condition is suggested as a nonlinearity condition to handle the non linearity of the forward operator to derive convergence rate results for a priori as well as a posteriori choice rules, e.g., discrepancy principle and balancing principle for selecting the regularization parameter. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 article

A new choice rule for regularization parameters in Tikhonov regularization

Ito, K., Jin, B., & Zou, J. (2011, July 9). Applicable Analysis.

By: K. Ito n, B. Jin * & J. Zou *

author keywords: parameter choice; a posteriori error estimate; Tikhonov regularization
topics (OpenAlex): Numerical methods in inverse problems; Statistical and numerical algorithms; Sparse and Compressive Sensing Techniques
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Dynamic evasion-interrogation games with uncertainty in the context of electromagetics

Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378.

By: H. Banks, S. Hu, K. Ito & S. Muccio

Source: NC State University Libraries
Added: August 6, 2018

2011 article

Karush–Kuhn–Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces

Ito, K., & Kunisch, K. (2011, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: KKT conditions; nonsmooth optimization; necessary optimality
topics (OpenAlex): Optimization and Variational Analysis; Differential Equations and Boundary Problems; Contact Mechanics and Variational Inequalities
TL;DR: Apply Lagrange multiplier rules for abstract optimization problems with mixed smooth and convex terms in the cost to minimum norm control problems, and a class of optimal control problems with distributed state constraints and nonsmooth cost. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 article

Minimal Effort Problems and Their Treatment by Semismooth Newton Methods

Ito, K., & Kunisch, K. (2011, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method
topics (OpenAlex): Aerospace Engineering and Control Systems; Advanced Optimization Algorithms Research; Optimization and Variational Analysis
TL;DR: Well-posedness and superlinear convergence of the semismooth Newton method are proved for linear control systems under a controllability condition and the applicability and feasibility of the proposed method are presented. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2010 article

Approximate Nullspace Iterations for KKT Systems

Ito, K., Kunisch, K., Schulz, V., & Gherman, I. (2010, January 1). SIAM Journal on Matrix Analysis and Applications.

By: K. Ito*, K. Kunisch, V. Schulz * & I. Gherman*

author keywords: KKT systems; iterative solvers; optimization
topics (OpenAlex): Matrix Theory and Algorithms; Numerical methods for differential equations; Fractional Differential Equations Solutions
TL;DR: A linear iteration scheme for solving Karush-Kuhn-Tucker systems arising from optimization problems with linear equality constraints and its practical relevance is investigated by means of a numerical example. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2010 article

Minimal invasion: An optimal L∞state constraint problem

Clason, C., Ito, K., & Kunisch, K. (2010, October 8). ESAIM Mathematical Modelling and Numerical Analysis.

By: C. Clason *, K. Ito n & K. Kunisch *

author keywords: Optimal control; optimal L-infinity state constraint; semi-smooth Newton method
topics (OpenAlex): Optimization and Variational Analysis; Advanced Optimization Algorithms Research; Advanced Numerical Methods in Computational Mathematics
Source: Web Of Science
Added: August 6, 2018

2010 article

Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs

Ito, K., & Kunisch, K. (2010, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: semismooth Newton method; time-optimal control
topics (OpenAlex): Advanced Optimization Algorithms Research; Advanced Control Systems Optimization; Extremum Seeking Control Systems
TL;DR: First numerical tests are presented which show that the proposed approach is different from other methods in that it does not rely on a priori information about the switching structure. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 article

A well-conditioned augmented system for solving Navier–Stokes equations in irregular domains

Ito, K., Lai, M.-C., & Li, Z. (2009, January 2). Journal of Computational Physics, Vol. 228, pp. 2616–2628.

By: K. Ito n, M. Lai* & Z. Li n 

author keywords: Navier-Stokes equations; Embedding technique; Immersed interface method; Irregular domain; Augmented system; Projection method; Level set representation
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Computational Fluid Dynamics and Aerodynamics; Advanced Numerical Methods in Computational Mathematics
TL;DR: An augmented method based on a Cartesian grid is proposed for the incompressible Navier-Stokes equations in irregular domains using the immersed interface method to achieve second order accuracy for the velocity. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 article

Asymptotic Properties of Feedback Solutions for a Class of Quantum Control Problems

Ito, K., & Kunisch, K. (2009, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: feedback control; asymptotic tracking; Schrodinger equations
topics (OpenAlex): Gas Dynamics and Kinetic Theory; Numerical methods for differential equations; Advanced Optimization Algorithms Research
TL;DR: Control of quantum systems described by the Schrodinger equation is considered, and feedback control laws developed for orbit tracking via controlled Hamiltonians, and their asymptotic properties are analyzed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 article

Lagrange Multiplier Approach with Optimized Finite Difference Stencils for Pricing American Options under Stochastic Volatility

Ito, K., & Toivanen, J. (2009, January 1). SIAM Journal on Scientific Computing.

By: K. Ito* & J. Toivanen*

author keywords: American option pricing; stochastic volatility model; linear complementarity problem; finite difference method; quadratic programming; multigrid method; Lagrange method; penalty method
topics (OpenAlex): Stochastic processes and financial applications; Capital Investment and Risk Analysis; Financial Risk and Volatility Modeling
TL;DR: The deterministic numerical valuation of American options under Heston's stochastic volatility model is considered and a Lagrange approach is used to treat the linear complementarity problems. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2009 article

On the shape derivative for problems of Bernoulli type

Haslinger, J., Ito, K., Kozubek, T., Kunisch, K., & Peichl, G. (2009, June 30). Interfaces and Free Boundaries Mathematical Analysis Computation and Applications.

By: J. Haslinger *, K. Ito n, T. Kozubek *, K. Kunisch * & G. Peichl *

topics (OpenAlex): Advanced Mathematical Modeling in Engineering; Numerical methods in inverse problems; Advanced Numerical Methods in Computational Mathematics
Source: NC State University Libraries
Added: August 6, 2018

2009 article

Optimal control of parabolic variational inequalities

Ito, K., & Kunisch, K. (2009, October 9). Journal De Mathématiques Pures Et Appliquées.

By: K. Ito n & K. Kunisch*

author keywords: Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control
topics (OpenAlex): Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Stability and Controllability of Differential Equations
Source: Web Of Science
Added: August 6, 2018

2008 article

A domain decomposition solver for acoustic scattering by elastic objects in layered media

Ito, K., Qiao, Z., & Toivanen, J. (2008, June 28). Journal of Computational Physics.

By: K. Ito n, Z. Qiao n & J. Toivanen n

author keywords: fast Helmholtz solver; scattering from elastic targets; domain decomposition preconditioner
topics (OpenAlex): Geophysical Methods and Applications; Electromagnetic Simulation and Numerical Methods; Electromagnetic Scattering and Analysis
TL;DR: An improved finite element discretization based on trilinear basis functions leading to fourth-order phase accuracy is described, which demonstrates capability to evaluate the scattered field with hundreds of wavelengths. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 article

A finite element method for interface problems with locally modified triangulations

Xie, H., Ito, K., Li, Z., & Toivanen, J. (2008, January 1). Contemporary Mathematics - American Mathematical Society, Vol. 466, pp. 179–190.

By: H. Xie*, K. Ito*, Z. Li*  & J. Toivanen

topics (OpenAlex): Contact Mechanics and Variational Inequalities; Numerical methods in engineering; Advanced Numerical Methods in Computational Mathematics
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2008 journal article

A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach

Journal of Computational Physics, 227(17), 8177–8190.

By: K. Ito n & Z. Qiao n

author keywords: Stokes equations; compact fourth order MAC finite difference scheme; staggered grid
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Advanced Numerical Methods in Computational Mathematics; Computational Fluid Dynamics and Aerodynamics
TL;DR: A high order compact MAC finite difference scheme based on the staggered grid is developed for solving Stokes equations with a Dirichlet boundary condition on the velocity through a novel high order boundary treatment via introducing a suitable augmented variable. (via Semantic Scholar)
Sources: Crossref, Web Of Science
Added: August 6, 2018

2008 article

A high order finite difference scheme for the Stokes equations

Ito, K., & Qiao, Z. (2008, January 1). Contemporary Mathematics - American Mathematical Society.

By: K. Ito* & Z. Qiao*

topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Differential Equations and Numerical Methods; Computational Fluid Dynamics and Aerodynamics
Source: NC State University Libraries
Added: August 6, 2018

2008 article

Adaptive techniques for the MRAC, adaptive parameter identification, and on‐line fault monitoring and accommodation for a class of positive real infinite dimensional systems

Demetriou, M. A., Ito, K., & Smith, R. C. (2008, July 22). International Journal of Adaptive Control and Signal Processing, Vol. 23, pp. 193–215.

By: M. Demetriou *, K. Ito n & R. Smith n 

author keywords: positive real; structured perturbations; infinite dimensional systems; adaptive observers; MRAC; fault detection and accommodation
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Control Systems Optimization; Stability and Control of Uncertain Systems
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 article

Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems

Ito, K., & Kunisch, K. (2008, January 1). SIAM Journal on Numerical Analysis.

By: K. Ito* & K. Kunisch

author keywords: reduced-order methods; approximate inertial manifold; nonlinear Galerkin; decomposition of state space; infinite dimensional system
topics (OpenAlex): Model Reduction and Neural Networks; Stability and Controllability of Differential Equations; Computational Fluid Dynamics and Aerodynamics
TL;DR: A reduced-order method for optimal control problems in infinite dimensions based on approximate inertial manifolds is developed and special attention is given to the particular case when the dynamics are described by the Navier-Stokes equations in dimension two. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 article

Semi-smooth Newton methods for the Signorini problem

Ito, K., & Kunisch, K. (2008, October 1). Applications of Mathematics.

By: K. Ito n & K. Kunisch*

author keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

2008 article

Variational approach to shape derivatives

Ito, K., Kunisch, K., & Peichl, G. H. (2008, February 6). ESAIM Control Optimisation and Calculus of Variations.

By: K. Ito n, K. Kunisch * & G. Peichl *

author keywords: shape derivative
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Advanced Numerical Analysis Techniques
Source: Web Of Science
Added: August 6, 2018

2007 article

Adaptive Monitoring and Accommodation of Nonlinear Actuator Faults in Positive Real Infinite Dimensional Systems

Demetriou, M. A., Ito, K., & Smith, R. C. (2007, December 1). IEEE Transactions on Automatic Control, Vol. 52, pp. 2332–2338.

By: M. Demetriou *, K. Ito n & R. Smith n 

author keywords: actuator faults; distributed parameter systems; fault accommodation; nonlinear actuator dynamics
topics (OpenAlex): Advanced Control Systems Optimization; Stability and Controllability of Differential Equations; Fault Detection and Control Systems
TL;DR: A robust modification is utilized in order to avoid false alarms caused by unmodelled dynamics and to assist in the fault accommodation of positive real infinite dimensional systems subjected to incipient actuator faults. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

An immersed interface method for the Navier-Stokes equations on irregular domains

PAMM, 7(1), 1025401–1025402.

By: Z. Li n , M. Lai* & K. Ito n

topics (OpenAlex): Lattice Boltzmann Simulation Studies; Fluid Dynamics and Vibration Analysis; Advanced Numerical Methods in Computational Mathematics
Sources: Crossref, NC State University Libraries
Added: February 24, 2020

2007 article

Convergence of the Primal‐Dual Active Set Strategy for Diagonally Dominant Systems

Ito, K., & Kunisch, K. (2007, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: primal-dual active set strategy; diagonally dominant systems; bilateral constraints; globalization
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Advanced Control Systems Optimization
TL;DR: Sufficient conditions for global convergence of the primal-dual active set strategy for finite and infinite dimensional quadratic, as well as nonlinear optimization, problems with affine equality and inequality constraints are presented. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 article

On a semi-smooth Newton method and its globalization

Ito, K., & Kunisch, K. (2007, November 19). Mathematical Programming.

By: K. Ito n & K. Kunisch *

topics (OpenAlex): Advanced Optimization Algorithms Research; Iterative Methods for Nonlinear Equations; Matrix Theory and Algorithms
TL;DR: This paper addresses the globalization of the semi-smooth Newton method for non-sm smooth equations F(x)  =  0 in $${\mathbb{R}}^m$$ with applications to complementarity and discretized ℓ1-regularization problems. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 article

Optimal Bilinear Control of an Abstract Schrödinger Equation

Ito, K., & Kunisch, K. (2007, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: Schrodinger equation; C(0)-groups; optimal control; optimality systems; monotone scheme
topics (OpenAlex): Laser-Matter Interactions and Applications; Mathematical Biology Tumor Growth; Quantum chaos and dynamical systems
TL;DR: Convergence of the monotone scheme for the solution of the optimality system is proved and the existence of optimal control of such systems is proved. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 article

Optimal Control of Obstacle Problems by H1-Obstacles

Ito, K., & Kunisch, K. (2007, June 1). Applied Mathematics & Optimization.

By: K. Ito n & K. Kunisch*

author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
topics (OpenAlex): Optimization and Variational Analysis; Contact Mechanics and Variational Inequalities; Nonlinear Partial Differential Equations
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Shape derivatives without taking the shape derivative

PAMM, 7(1), 1061005–1061006.

By: K. Ito*, K. Kunisch * & G. Peichl *

topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Numerical Analysis Techniques; Advanced Mathematical Modeling in Engineering
Source: Crossref
Added: February 24, 2020

2006 article

A fast iterative solver for scattering by elastic objects in layered media

Ito, K., & Toivanen, J. (2006, August 24). Applied Numerical Mathematics.

By: K. Ito n & J. Toivanen n

topics (OpenAlex): Geophysical Methods and Applications; Electromagnetic Scattering and Analysis; Electromagnetic Simulation and Numerical Methods
TL;DR: A fast iterative solver for computing time-harmonic acoustic waves scattered by an elastic object in layered media using a domain decomposition preconditioner in the iterative solution of the resulting system of linear equations. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 article

A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate

Ackleh, A. S., Deng, K., Ito, K., & Thibodeaux, J. (2006, August 21). Mathematical Biosciences.

By: A. Ackleh*, K. Deng*, K. Ito n & J. Thibodeaux*

author keywords: erythropoiesis; structured model; finite difference approximation; existence-uniqueness; behavior of solutions
MeSH headings : Cell Differentiation / physiology; Computer Simulation; Erythroid Precursor Cells / physiology; Erythropoiesis / physiology; Erythropoietin / physiology; Humans; Models, Biological
topics (OpenAlex): Erythrocyte Function and Pathophysiology; Blood properties and coagulation; Blood groups and transfusion
TL;DR: A quasilinear structured model that describes the regulation of erythropoiesis, the process in which red blood cells are developed shows that a velocity of precursor cells maturation rate and a decay rate of the hormone which is an increasing function of the number of precursor Cells have a stabilizing effect on the dynamics of the model. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2006 article

An augmented approach for Stokes equations with a discontinuous viscosity and singular forces

Li, Z., Ito, K., & Lai, M.-C. (2006, July 26). Computers & Fluids, Vol. 36, pp. 622–635.

By: Z. Li n , K. Ito n & M. Lai*

topics (OpenAlex): Lattice Boltzmann Simulation Studies; Advanced Numerical Methods in Computational Mathematics; Computational Fluid Dynamics and Aerodynamics
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

An augmented approach for the pressure boundary condition in a Stokes flow

Communications in Computational Physics, 1(5), 874–885.

By: Z. Li , X. Wan, K. Ito & S. Lubkin 

Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings

Communications in Computational Physics, 1(2), 362–382.

By: H. Banks, K. Ito & J. Toivanen

Source: NC State University Libraries
Added: August 6, 2018

2006 article

Material Surface Design to Counter Electromagnetic Interrogation of Targets

Banks, H. T., Ito, K., Kepler, G. M., & Toivanen, J. A. (2006, January 1). SIAM Journal on Applied Mathematics.

By: H. Banks*, K. Ito*, G. Kepler* & J. Toivanen*

author keywords: electromagnetic; inverse scattering; attenuation
topics (OpenAlex): Electromagnetic Scattering and Analysis; Electromagnetic Simulation and Numerical Methods
TL;DR: F Fresnel's law for the reflectance index is extended to the electromagnetic propagation in anisotropic composite layers of ferromagnetic and electronic devices and is used to demonstrate feasibility of control of reflections. (via Semantic Scholar)
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16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 article

Preconditioned iterative methods on sparse subspaces

Ito, K., & Toivanen, J. (2006, February 25). Applied Mathematics Letters.

By: K. Ito n & J. Toivanen n

author keywords: subspace iteration; preconditioning; Krylov subspace method; domain decomposition method; fictitious domain method; interface problem
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Electromagnetic Scattering and Analysis; Matrix Theory and Algorithms
TL;DR: This work considers the iterative solution of a discretized partial differential equation on this sparse subspace of a domain decomposition method and a fictitious domain method, where the subspace corresponds a small neighborhood of an interface. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 article

Receding Horizon Control with Incomplete Observations

Ito, K., & Kunisch, K. (2006, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: receding horizon control; incomplete observations; dynamic compensator
topics (OpenAlex): Advanced Control Systems Optimization; Control Systems and Identification; Advanced Optimization Algorithms Research
TL;DR: This work continues the analysis of receding horizon strategies, considering the situation when only partial state observations are available, and proposes a linear quadratic Gaussian design based on a linearization procedure that achieves the design objective with significantly less computational effort. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2006 article

The Immersed Interface Method

Li, Z., & Ito, K. (2006, January 1). Society for Industrial and Applied Mathematics EBooks.

By: Z. Li*  & K. Ito*

topics (OpenAlex): Lattice Boltzmann Simulation Studies; Fluid Dynamics and Thin Films; Surface Modification and Superhydrophobicity
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2005 article

A homogenization model for laser beam-induced current imaging and detection of non-uniformities in semiconductor arrays

Fang, W., Ito, K., & Redfern, D. A. (2005, September 15). Journal of Computational and Applied Mathematics.

By: W. Fang *, K. Ito n & D. Redfern*

author keywords: semiconductor arrays; laser beam-induced current; LBIC; homogenization; inverse problems
topics (OpenAlex): Electron and X-Ray Spectroscopy Techniques; Advancements in Photolithography Techniques; Advanced Electron Microscopy Techniques and Applications
Source: Web Of Science
Added: August 6, 2018

2005 article

A method for determination of optimal gaits with application to a snake-like serial-link structure

Hicks, G., & Ito, K. (2005, September 1). IEEE Transactions on Automatic Control.

By: G. Hicks* & K. Ito n

author keywords: locomotion; optimal gaits; numerical optimal control; reduction
topics (OpenAlex): Control and Dynamics of Mobile Robots; Robotic Locomotion and Control; Robotic Path Planning Algorithms
TL;DR: This method is the synthesis of techniques for computing reduced equations for robotic locomotion systems and a numerical optimal control strategy and provides scientific merit to hypotheses concerning observed locomotion phenomena amongst animals employing undulatory propulsive mechanisms. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2005 article

An Optimal Optical Flow

Ito, K. (2005, January 1). SIAM Journal on Control and Optimization.

By: K. Ito*

author keywords: optical flow; feedback solution
topics (OpenAlex): Advanced Optimization Algorithms Research; Aerospace Engineering and Control Systems; Advanced Image Processing Techniques
TL;DR: Feedback solutions for determining optical flow for the image registration problem are proposed and it is shown that they are optimal for certain optimal control formulations of the problem. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2005 article

Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains

Ito, K., Li, Z., & Kyei, Y. (2005, January 1). SIAM Journal on Scientific Computing, Vol. 27, pp. 346–367.

By: K. Ito n, Z. Li*  & Y. Kyei

author keywords: fourth order finite difference schemes; elliptic and parabolic equations on irregular domains; immersed interface method
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Lattice Boltzmann Simulation Studies; Numerical methods in engineering
TL;DR: Second and fourth order Cartesian grid based finite difference methods are proposed for elliptic and parabolic partial differential equations, and associated eigenvalue problems on irregular domains with general boundary conditions. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2005 article

Interface conditions for Stokes equations with a discontinuous viscosity and surface sources

Ito, K., & Li, Z. (2005, July 23). Applied Mathematics Letters, Vol. 19, pp. 229–234.

By: K. Ito n & Z. Li n 

author keywords: incompressible Stokes equations; interface; discontinuous viscosity; interface conditions; singular sources
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Lattice Boltzmann Simulation Studies
TL;DR: The interface conditions, or jump conditions, for the pressure and the velocity of the solution to the incompressible Stokes equations with a discontinuous viscosity and a singular source along an interface are derived in this work. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2005 article

Investigation of laser beam-induced current techniques for heterojunction photodiode characterization

Redfern, D. A., Fang, W., Ito, K., Bahir, G., Musca, C. A., Dell, J. M., & Faraone, L. (2005, August 1). Journal of Applied Physics.

By: D. Redfern*, W. Fang *, K. Ito n, G. Bahir *, C. Musca*, J. Dell *, L. Faraone *

topics (OpenAlex): Advanced Semiconductor Detectors and Materials; Advanced Optical Sensing Technologies; Calibration and Measurement Techniques
Source: Web Of Science
Added: August 6, 2018

2005 article

Measure-valued solutions for a hierarchically size-structured population

Ackleh, A. S., & Ito, K. (2005, May 18). Journal of Differential Equations.

By: A. Ackleh * & K. Ito n

author keywords: hierarchical size-structured population model; measure-valued solutions; viscosity method; growth rate with an Allee effect
topics (OpenAlex): Mathematical and Theoretical Epidemiology and Ecology Models; Mathematical Biology Tumor Growth; Stochastic processes and statistical mechanics
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UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2005 article

Parabolic variational inequalities: The Lagrange multiplier approach

Ito, K., & Kunisch, K. (2005, October 20). Journal De Mathématiques Pures Et Appliquées.

By: K. Ito n & K. Kunisch *

author keywords: parabolic variational inequalities; Lagrange multipliers; feasible and unfeasible regularization; Black-Scholes
topics (OpenAlex): Stochastic processes and financial applications; Nonlinear Partial Differential Equations; Optimization and Variational Analysis
Source: Web Of Science
Added: August 6, 2018

2005 article

Variational approach to shape derivatives for a class of Bernoulli problems

Ito, K., Kunisch, K., & Peichl, G. H. (2005, May 15). Journal of Mathematical Analysis and Applications.

By: K. Ito n, K. Kunisch * & G. Peichl *

author keywords: shape derivative; Bernoulli problem; level set
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

2004 article

LBIC imaging of semiconductor arrays: the cross-sectional model

Fang, W., Ito, K., & Redfern, D. A. (2004, July 1). Mathematical and Computer Modelling.

By: W. Fang *, K. Ito n & D. Redfern*

author keywords: homogenization; LBIC; semiconductor arrays; inverse problem; parameter identification
topics (OpenAlex): Advanced Mathematical Modeling in Engineering; Numerical methods in inverse problems; Topology Optimization in Engineering
TL;DR: Based on a previous mathematical model for LBIC applied to individual devices, the homogenization method is employed to derive approximations of the LBIC images of large arrays to reduce the computational burden in simulations of these LBIC bouges. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2004 article

Reconstruction of magnetic charge densities using regularization of bounded variations under noisy observations

Kojima, F., & Ito, K. (2004, February 1). International Journal of Applied Electromagnetics and Mechanics.

By: F. Kojima* & K. Ito n

author keywords: inverse problem; regularization; fast fourier transform
topics (OpenAlex): Numerical methods in inverse problems; Non-Destructive Testing Techniques; Ultrasonics and Acoustic Wave Propagation
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Source: Web Of Science
Added: August 6, 2018

2004 article

Reduced order control based on approximate inertial manifolds

Ito, K., & Kunisch, K. (2004, December 24). Linear Algebra and Its Applications.

By: K. Ito n & K. Kunisch *

author keywords: reduced order method; approximate inertial manifold; LQR-problern; decomposition of state space; infinite-dimensional system
topics (OpenAlex): Model Reduction and Neural Networks; Stability and Controllability of Differential Equations; Computational Fluid Dynamics and Aerodynamics
Source: Web Of Science
Added: August 6, 2018

2004 article

The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints

Ito, K., & Kunisch, K. (2004, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: primal-dual active set method; semismooth Newton method; optimal control; bilateral constraints
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Iterative Methods for Nonlinear Equations
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Acoustic attenuation employing variable wall admittance

Directions in Mathematical Systems Theory and Optimization (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.

By: H. Banks, K. Furati, K. Ito, N. Luke & C. Smith

Ed(s): C. A. Rantzer

Source: NC State University Libraries
Added: August 6, 2018

2003 article

Identification of contact regions in semiconductor transistors by level-set methods

Fang, W., & Ito, K. (2003, September 16). Journal of Computational and Applied Mathematics.

By: W. Fang * & K. Ito n

author keywords: inverse problem; level-set methods; semiconductor
topics (OpenAlex): Numerical methods in inverse problems; Advanced Numerical Analysis Techniques; Advanced Mathematical Modeling in Engineering
TL;DR: The Gauss-Newton direction is proposed as the interface velocity, and the scheme for a parameterized class of interfaces for the inverse problem of identifying an interface in the coefficient of an elliptic equation from a boundary measurement is proposed. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2003 article

Low temperature saturation of p–n junction laser beam induced current signals

Redfern, D. A., Fang, W., Ito, K., Musca, C. A., Dell, J. M., & Faraone, L. (2003, November 7). Solid-State Electronics.

By: D. Redfern*, W. Fang *, K. Ito n, C. Musca*, J. Dell * & L. Faraone *

author keywords: laser beam induced current; LBIC; photodiode; non-destructive characterisation; temperature dependence
topics (OpenAlex): Integrated Circuits and Semiconductor Failure Analysis; Electron and X-Ray Spectroscopy Techniques; Thermography and Photoacoustic Techniques
Source: Web Of Science
Added: August 6, 2018

2003 article

Optimal Control Formulation for Determining Optical Flow

Borzì, A., Ito, K., & Kunisch, K. (2003, January 1). SIAM Journal on Scientific Computing.

By: A. Borzì *, K. Ito* & K. Kunisch *

author keywords: optical flow; optimal control; system of hyperbolic and elliptic partial differential equations; TVD scheme; multigrid method
topics (OpenAlex): Advanced Vision and Imaging; Advanced Image Processing Techniques; Medical Image Segmentation Techniques
TL;DR: An optimal control formulation for determining optical flow does not require differentiation of the data and does combine optical flow with image reconstruction and a numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2003 article

Semi-smooth Newton methods for state-constrained optimal control problems

Ito, K., & Kunisch, K. (2003, June 21). Systems & Control Letters.

By: K. Ito n & K. Kunisch*

author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
topics (OpenAlex): Aerospace Engineering and Control Systems; Optimization and Variational Analysis; Advanced Optimization Algorithms Research
TL;DR: Convergence of the regularized problems is proved and numerical tests confirm the theoretical results and demonstrate the efficiency of the proposed methodology. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 article

Semi–Smooth Newton Methods for Variational Inequalities of the First Kind

Ito, K., & Kunisch, K. (2003, January 1). ESAIM Mathematical Modelling and Numerical Analysis.

By: K. Ito n & K. Kunisch

author keywords: semi-smooth Newton methods; contact problems; variational inequalities; bilateral constraints; superlinear convergence
topics (OpenAlex): Advanced Optimization Algorithms Research; Iterative Methods for Nonlinear Equations; Optimization and Variational Analysis
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 article

Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method

Ito, K., & Li, Z. (2003, September 19). Journal of Scientific Computing, Vol. 19, pp. 253–266.

By: K. Ito n & Z. Li n 

author keywords: non-linear interface problem; magneto-rheological fluid; maximum principal preserving scheme; immersed interface method; level set method; substitution method
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Advanced Mathematical Modeling in Engineering; Advanced Numerical Methods in Computational Mathematics
TL;DR: A finite difference method based on Cartesian grids and the maximum principle preserving immersed interface method is proposed for the nonlinear elliptic interface problems discussed in this paper and is nearly second order accurate in the infinity norm. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 article

Three-dimensional elliptic solvers for interface problems and applications

Deng, S., Ito, K., & Li, Z. (2003, January 1). Journal of Computational Physics, Vol. 184, pp. 215–243.

By: S. Deng *, K. Ito n & Z. Li n 

author keywords: 3D elliptic interface problem; irregular domain; discontinuous coefficient; discrete maximum preserving scheme; quadratic optimization; algebraic multigrid; shape identification; level set method
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Electromagnetic Scattering and Analysis
TL;DR: Two second-order accurate elliptic solvers using Cartesian grids are presented for three-dimensional interface problems in which the coefficients, the source term, the solution and its normal flux may be discontinuous across an interface. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2002 article

A computational model for sound field absorption by acoustic arrays

Gabriella A. Pinter; H. Banks; Kazufumi Ito

topics (OpenAlex):
Source: NC State University Libraries
Added: August 6, 2018

2002 article

An optimal control approach to optical flow computation

Borzì, A., Ito, K., & Kunisch, K. (2002, August 29). International Journal for Numerical Methods in Fluids.

By: A. Borzì *, K. Ito n & K. Kunisch *

author keywords: optical flow; optimal control
topics (OpenAlex): Advanced Vision and Imaging; Glaucoma and retinal disorders; Corneal surgery and disorders
TL;DR: An optimal control approach for determining optical flow and a numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2002 article

Asymptotic Properties of Receding Horizon Optimal Control Problems

Ito, K., & Kunisch, K. (2002, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch

author keywords: receding horizon control; model prediction control; control Liapunov function; stabilizability; Liapunov equation
topics (OpenAlex): Advanced Control Systems Optimization; Adaptive Control of Nonlinear Systems; Optimization and Variational Analysis
TL;DR: The asymptotic behavior of receding horizon optimal control problems with terminal cost chosen as a control Liapunov function is analyzed for regulator as well as disturbance attenuation problems. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2002 article

Evolution Equations And Approximations

Ito, K., & Kappel, F. (2002, May 1). Series on Advances in Mathematics for Applied Sciences.

By: K. Ito n & F. Kappel *

topics (OpenAlex): Contact Mechanics and Variational Inequalities; Advanced Numerical Methods in Computational Mathematics; Numerical methods for differential equations
TL;DR: Dissipative and maximal monotone operators linear semigroups analyticSemigroups approximation of C-0 semig groups nonlinear semiggroups of contractions locally quasi-dissipatives evolution equations the Crandall-Pazy class variational formulations and Gelfand triples applications to concrete systems approximation of solutions for evolution equations semilinear evolution equations. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2002 article

Nonhomogeneous initial-boundary value problems for nonlinear diffusion–convection equations

Fang, W., & Ito, K. (2002, January 1). Nonlinear Analysis.

By: W. Fang * & K. Ito n

author keywords: nonlinear diffusion-convection equations; nonhomogeneous Dirichlet boundary conditions; weak solutions; absorbing sets; attractors
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Navier-Stokes equation solutions
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2002 article

Optimal Control of the Solid Fuel Ignition Model withH1-Cost

Ito, K., & Kunisch, K. (2002, January 1). SIAM Journal on Control and Optimization.

By: K. Ito n & K. Kunisch

author keywords: optimal control; control of exponential nonlinearity; explosion phenomena; optimality conditions
topics (OpenAlex): Differential Equations and Numerical Methods; Computational Fluid Dynamics and Aerodynamics
TL;DR: Existence of optimal controls is proved, and optimality systems are derived based on a closedness lemma for the exponential function in L1 and a generalization of Aubin's lemma. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2002 article

Parameter Identification for Semiconductor Diodes by LBIC Imaging

Redfern, D. A., Ito, K., & Fang, W. (2002, January 1). SIAM Journal on Applied Mathematics.

By: D. Redfern, K. Ito* & W. Fang

author keywords: semiconductor diodes; LBIC; drift-diffusion; parameter identification; inverse problems; elliptic partial differential equations/systems; discontinuous coefficients
topics (OpenAlex): Non-Destructive Testing Techniques; Integrated Circuits and Semiconductor Failure Analysis; Advancements in Photolithography Techniques
TL;DR: A model is formulated for laser-beam-induced-current imaging using the standard drift-diffusion model, and an approximate version and its dual are derived for the study of the inverse problem. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2002 article

Receding horizon optimal control for infinite dimensional systems

Ito, K., & Kunisch, K. (2002, January 1). ESAIM Control Optimisation and Calculus of Variations.

By: K. Ito n & K. Kunisch *

author keywords: receding horizon control; control Lyapunov function; Lyapunov equations; closed loop dissipative; minimum value function; Navier-Stokes equations
topics (OpenAlex): Advanced Control Systems Optimization; Stability and Controllability of Differential Equations; Numerical methods for differential equations
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2002 article

The Primal-Dual Active Set Strategy as a Semismooth Newton Method

Hintermüller, M., Ito, K., & Kunisch, K. (2002, January 1). SIAM Journal on Optimization.

By: M. Hintermüller *, K. Ito n & K. Kunisch *

author keywords: complementarity problems; function spaces; semismooth Newton method
topics (OpenAlex): Advanced Optimization Algorithms Research; Control Systems and Identification; Advanced Control Systems Optimization
TL;DR: The notion of slant differentiability is recalled and it is argued that the $\max$-function is slantly differentiable in Lp-spaces when appropriately combined with a two-norm concept, which leads to new local convergence results of the primal-dual active set strategy. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2001 article

An electrochemistry model with nonlinear diffusion: steady-state solutions

Fang, W. (2001, April 1). IMA Journal of Applied Mathematics.

By: W. Fang

author keywords: electrochemistry; integro-differential equations; nonlinear diffusion
topics (OpenAlex): Anodic Oxide Films and Nanostructures
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2001 article

DYNAMIC SIMULATION OF THE TEMPORAL RESPONSE OF MICROSTRUCTURE FORMATION IN MAGNETORHEOLOGICAL FLUIDS

LY, H. V., ITO, K., BANKS, H. T., JOLLY, M. R., & REITICH, F. (2001, March 20). International Journal of Modern Physics B.

By: H. Ly n, K. Ito n, H. Banks n, M. Jolly* & F. Reitich*

topics (OpenAlex): Vibration Control and Rheological Fluids; Characterization and Applications of Magnetic Nanoparticles; Fluid Dynamics and Vibration Analysis
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2001 article

EXISTENCE OF STATIONARY SOLUTIONS TO AN ENERGY DRIFT-DIFFUSION MODEL FOR SEMICONDUCTOR DEVICES

FANG, W. E. I. F. U., & KAZUFUMI, I. T. O. (2001, July 1). Mathematical Models and Methods in Applied Sciences.

By: W. Fang * & I. Kazufumi n

topics (OpenAlex): Gas Dynamics and Kinetic Theory; Advanced Mathematical Modeling in Engineering; Advanced Numerical Methods in Computational Mathematics
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2001 article

Existence of Solutions to the Hamilton–Jacobi–Bellman Equation under Quadratic Growth Conditions

Ito, K. (2001, October 1). Journal of Differential Equations.

By: K. Ito n

topics (OpenAlex): Optimization and Variational Analysis; Nonlinear Partial Differential Equations; Nonlinear Differential Equations Analysis
Source: Web Of Science
Added: August 6, 2018

2001 article

Identification of some source densities of the distribution type

Ito, K., & Zou, J. (2001, July 1). Journal of Computational and Applied Mathematics.

By: K. Ito n & J. Zou *

topics (OpenAlex): Numerical methods in engineering; Electromagnetic Scattering and Analysis; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

2001 article

Level-set function approach to an inverse interface problem

Ito, K., Kunisch, K., & Li, Z. (2001, August 30). Inverse Problems, Vol. 17, pp. 1225–1242.

By: K. Ito n, K. Kunisch * & Z. Li n 

topics (OpenAlex): Electrical and Bioimpedance Tomography; Numerical methods in inverse problems; Advanced Mathematical Modeling in Engineering
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UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 article

Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients

Li, Z., & Ito, K. (2001, January 1). SIAM Journal on Scientific Computing, Vol. 23, pp. 339–361.

By: Z. Li n  & K. Ito n

author keywords: elliptic interface problems; finite difference methods; discontinuous coefficients; singular source term; discrete maximum principle; quadratic optimization; multigrid methods
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Differential Equations and Numerical Methods; Computational Fluid Dynamics and Aerodynamics
TL;DR: New finite difference methods using Cartesian grids are developed for elliptic interface problems with variable discontinuous coefficients, singular sources, and nonsmooth or even discontinuous solutions to satisfy the sign property of the discrete maximum principle using quadratic optimization techniques. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 article

Nonlinear exothermic contributions to radio-frequency bonding of adhesives

Banks, H. T., Choi, M. G., Durso, S. R., & Ito, K. (2001, September 1). Nonlinear Analysis Real World Applications.

By: H. Banks n, M. Choi n, S. Durso* & K. Ito n

author keywords: radio-frequency electromagnetic bonding; nonlinear thermal processes; operator splitting; existence and uniqueness
topics (OpenAlex): Elasticity and Wave Propagation; Epoxy Resin Curing Processes; Mechanical Behavior of Composites
Source: Web Of Science
Added: August 6, 2018

2001 article

Reduced Basis Method for Optimal Control of Unsteady Viscous Flows

ITO, K., & RAVINDRAN, S. S. (2001, October 1). International Journal of Computational Fluid Dynamics.

By: K. Ito n & S. Ravindran n

author keywords: reduced order models; optimal control; unsteady viscous flows
topics (OpenAlex): Model Reduction and Neural Networks; Advanced Numerical Methods in Computational Mathematics; Lattice Boltzmann Simulation Studies
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2001 article

Reduced order feedback synthesis for viscous incompressible flows

Ito, K., & Schroeter, J. D. (2001, January 1). Mathematical and Computer Modelling.

By: K. Ito n & J. Schroeter n

author keywords: flow control; compensator design; Navier-Stokes equations; reduced basis method; finite element method
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Computational Fluid Dynamics and Aerodynamics; Model Reduction and Neural Networks
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2001 article

The effective magnetic properties of magnetorheological fluids

Simon, T. M., Reitich, F., Jolly, M. R., Ito, K., & Banks, H. T. (2001, January 1). Mathematical and Computer Modelling.

By: T. Simon n, F. Reitich*, M. Jolly*, K. Ito n & H. Banks n

author keywords: magnetorheological fluids; homogenization; effective properties
topics (OpenAlex): Vibration Control and Rheological Fluids; Fluid Dynamics and Vibration Analysis; Vibration and Dynamic Analysis
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 article

An Approximation Theory for Strongly Stabilizing Solutions tothe Operator LQ Riccati Equation

Oostveen, J. C., Curtain, R. F., & Ito, K. (2000, January 1). SIAM Journal on Control and Optimization.

By: J. Oostveen, R. Curtain & K. Ito*

author keywords: linear quadratic control problem; algebraic Riccati equation on Hilbert space; dissipative systems; collocated actuators and sensors
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Numerical methods for differential equations
Source: Web Of Science
Added: August 6, 2018

2000 article

Approximation of the Kushner Equation for Nonlinear Filtering

Ito, K., & Rozovskii, B. (2000, January 1). SIAM Journal on Control and Optimization.

By: K. Ito n & B. Rozovskii*

author keywords: Kushner equation; operator-splitting method
topics (OpenAlex): Stability and Controllability of Differential Equations; Numerical methods in inverse problems; Differential Equations and Numerical Methods
TL;DR: A time integration method based on the operator splitting that relates to the operator-splitting method for the Zakai equation in nonlinear filtering problems is developed and analyzed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 article

Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces

Ito, K., & Kunisch, K. (2000, August 1). Nonlinear Analysis.

By: K. Ito n & K. Kunisch

author keywords: optimality conditions for nonsmooth optimization problems; augmented Lagrangian techniques; bingham flow; image restoration; friction problem; optimal control
topics (OpenAlex): Optimization and Variational Analysis; Advanced Optimization Algorithms Research; Matrix Theory and Algorithms
Source: Web Of Science
Added: August 6, 2018

2000 article

BV-type regularization methods for convoluted objects with edge, flat and grey scales

Ito, K., & Kunisch, K. (2000, June 14). Inverse Problems.

By: K. Ito n & K. Kunisch *

topics (OpenAlex): Numerical methods in inverse problems; Electrical and Bioimpedance Tomography; Photoacoustic and Ultrasonic Imaging
TL;DR: An iterative algorithm for finding the restored object that minimizes the cost functional is developed and analysed and global convergence is proved. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 article

Existence and uniqueness of steady-state solutions for an electrochemistry model

Fang, W., & Ito, K. (2000, October 11). Proceedings of the American Mathematical Society.

By: W. Fang * & K. Ito n

author keywords: electrochemistry; integro-differential equations
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 article

Gaussian filters for nonlinear filtering problems

Ito, K., & Xiong, K. (2000, May 1). IEEE Transactions on Automatic Control.

By: K. Ito n & K. Xiong n

topics (OpenAlex): Target Tracking and Data Fusion in Sensor Networks; Inertial Sensor and Navigation; Gaussian Processes and Bayesian Inference
TL;DR: The systematic formulation of Gaussian filters is presented and efficient and accurate numerical integration of the optimal filter is developed, and the new Gaussian sum filter has a nearly optimal performance. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 article

Newton's Method for a Class of Weakly Singular Optimal Control Problems

Ito, K., & Kunisch, K. (2000, January 1). SIAM Journal on Optimization.

By: K. Ito* & K. Kunisch

author keywords: Newton's method; optimal control; singular systems; 2-norm technique
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Numerical methods in inverse problems; Stability and Controllability of Differential Equations
TL;DR: This work considers the case where neither the linearization of the equality constraint e characterizing the differential equation is surjective nor a second order sufficient optimality condition holds for the topology on which e is well defined. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 article

Optimal Control of Elliptic Variational Inequalities

Ito, K., & Kunisch, K. (2000, May 6). Applied Mathematics & Optimization.

By: K. Ito n & K. Kunisch *

author keywords: optimal control; variational inequalities; augmented Lagrangians; Lagrange multipliers; active set methods; strict complementarity
topics (OpenAlex): Contact Mechanics and Variational Inequalities; Optimization and Variational Analysis; Topology Optimization in Engineering
Source: Web Of Science
Added: August 6, 2018

2000 article

Real-time thickness and compositional control of Ga1−xInxP growth using p-polarized reflectance

Woods, V., Dietz, N., Ito, K., & Lauko, I. (2000, July 1). Journal of Vacuum Science & Technology A Vacuum Surfaces and Films.

By: V. Woods n, N. Dietz n, K. Ito n & I. Lauko n

topics (OpenAlex): Semiconductor Quantum Structures and Devices; Semiconductor Lasers and Optical Devices; Spectroscopy and Laser Applications
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 article

Weak solutions for diffusion-convection equations

Fang, W., & Ito, K. (2000, April 1). Applied Mathematics Letters.

By: W. Fang * & K. Ito n

author keywords: diffusion-convection equations; L-infinity bounds of weak solutions
topics (OpenAlex): Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Differential Equations and Numerical Methods
TL;DR: Weak solutions to diffusion-convection equations with less regular convective field and boundary data are shown to exist as limits of solutions to problems with mixed boundary conditions. (via Semantic Scholar)
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

1999 article

A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings

Ito, K., & Reitich, F. (1999, August 1). Inverse Problems.

By: K. Ito n & F. Reitich n

topics (OpenAlex): Electromagnetic Scattering and Analysis; Geophysical Methods and Applications; Electromagnetic Simulation and Numerical Methods
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 article

An active set strategy based on the augmented Lagrangian formulation for image restoration

Ito, K., & Kunisch, K. (1999, January 1). ESAIM Mathematical Modelling and Numerical Analysis.

By: K. Ito n & K. Kunisch

topics (OpenAlex): Image and Signal Denoising Methods; Sparse and Compressive Sensing Techniques; Advanced Image Processing Techniques
TL;DR: A Newton type method based on an active set strategy defined by means of the dual variables is developed and analyzed and numerical examples for blocky signals and images perturbed by very high noise are included. (via Semantic Scholar)
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018

1999 article

Estimation of the Effective Permeability in Magnetorheological Fluids

Simon, T. M., Ito, K., Banksa, H. T., Reitich, F., & Jolly, M. R. (1999, November 1). Journal of Intelligent Material Systems and Structures.

By: T. Simon, K. Ito*, H. Banksa n, F. Reitich* & M. Jolly*

topics (OpenAlex): Advanced Mathematical Modeling in Engineering; Characterization and Applications of Magnetic Nanoparticles; Composite Material Mechanics
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 article

Primal-Dual Strategy for Constrained Optimal Control Problems

Bergounioux, M., Ito, K., & Kunisch, K. (1999, January 1). SIAM Journal on Control and Optimization.

By: M. Bergounioux *, K. Ito* & K. Kunisch *

author keywords: active set; augmented Lagrangian; primal-dual method; optimal control
topics (OpenAlex): Aerospace Engineering and Control Systems; Advanced Optimization Algorithms Research; Spacecraft Dynamics and Control
Source: Web Of Science
Added: August 6, 2018

1999 article

Real-time optical control of Ga1−xInxP film growth byp-polarized reflectance

Dietz, N., Woods, V., Ito, K., & Lauko, I. (1999, July 1). Journal of Vacuum Science & Technology A Vacuum Surfaces and Films.

By: N. Dietz n, V. Woods n, K. Ito n & I. Lauko n

topics (OpenAlex): GaN-based semiconductor devices and materials; Semiconductor Quantum Structures and Devices; Semiconductor materials and devices
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 article

Simulations of Particle Dynamics in Magnetorheological Fluids

Ly, H. V., Reitich, F., Jolly, M. R., Banks, H. T., & Ito, K. (1999, October 1). Journal of Computational Physics.

By: H. Ly n, F. Reitich*, M. Jolly*, H. Banks n & K. Ito n

author keywords: particle dynamics; fast multipole method; MR fluids; effective permeability; response time scale
topics (OpenAlex): Vibration Control and Rheological Fluids; Characterization and Applications of Magnetic Nanoparticles; Granular flow and fluidized beds
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 article

A Reduced-Order Method for Simulation and Control of Fluid Flows

Ito, K., & Ravindran, S. S. (1998, July 1). Journal of Computational Physics.

By: K. Ito n & S. Ravindran n

author keywords: reduced-basis method; reduced-order modeling; Navier-Stokes equations; finite element; optimal control
topics (OpenAlex): Model Reduction and Neural Networks; Advanced Numerical Methods in Computational Mathematics; Computational Fluid Dynamics and Aerodynamics
Source: Web Of Science
Added: August 6, 2018

1998 article

An Approximation Theory of Solutions to Operator Riccati Equations for $H^\infty$ Control

Ito, K., & Morris, K. A. (1998, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Morris

author keywords: H(infinity); approximations; partial differential equation; optimal control; infinite dimensional
topics (OpenAlex): Stability and Controllability of Differential Equations; Stability and Control of Uncertain Systems; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

1998 article

Optimal Control of Thermally Convected Fluid Flows

Ito, K., & Ravindran, S. S. (1998, November 1). SIAM Journal on Scientific Computing.

By: K. Ito n & S. Ravindran*

author keywords: flow control; temperature control; optimization; Navier-Stokes equations; finite element methods
topics (OpenAlex): Navier-Stokes equation solutions; Advanced Numerical Methods in Computational Mathematics; Stability and Controllability of Differential Equations
TL;DR: Numerical methods to solve the necessary condition of optimality for optimal control of stationary thermally convected fluid flows are developed and computational results are presented showing the feasibility of the proposed approach. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

1998 article

Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance

Bachmann, K. J., Sukidi, N., Höpfner, C., Harris, C., Dietz, N., Tran, H. T., … Banks, H. T. (1998, January 1). Journal of Crystal Growth, Vol. 183, pp. 323–337.

By: K. Bachmann n, N. Sukidi n, C. Höpfner n, C. Harris n, N. Dietz n, H. Tran n , S. Beeler n, K. Ito n, H. Banks n

author keywords: p-polarized reflectance; surface kinetics; chemical beam epitaxy; real-time process monitoring
topics (OpenAlex): Advanced Chemical Physics Studies; Spectroscopy and Quantum Chemical Studies; Photochemistry and Electron Transfer Studies
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1998 article

Real-time optical characterization of GaP heterostructures by p-polarized reflectance

Dietz, N., & Ito, K. (1998, February 1). Thin Solid Films.

By: N. Dietz n & K. Ito n

author keywords: p-polarized reflectance spectroscopy; pulsed chemical beam epitaxy; reduced order kinetic model
topics (OpenAlex): Semiconductor Quantum Structures and Devices; GaN-based semiconductor devices and materials; Semiconductor materials and devices
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 article

The Trotter-Kato theorem and approximation of PDEs

Ito, K., & Kappel, F. (1998, January 1). Mathematics of Computation.

By: K. Ito n & F. Kappel *

author keywords: semigroups of transformations; Trotter-Kato-theorems; numerical approximation of linear evolutionary equations
topics (OpenAlex): Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Numerical methods for differential equations
Source: Web Of Science
Added: August 6, 2018

1998 article

Viscous Scalar Conservation Law with Nonlinear Flux Feedback and Global Attractors

Ito, K., & Yan, Y. (1998, November 1). Journal of Mathematical Analysis and Applications.

By: K. Ito n & Y. Yan*

author keywords: viscous scalar conservation law; nonlinear boundary feedback; L-infinity estimates; absorbing sets; global attractors
topics (OpenAlex): Navier-Stokes equation solutions; Stability and Controllability of Differential Equations; Fluid Dynamics and Turbulent Flows
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

1997 article

Estimation of the convection coefficient in elliptic equations

Ito, K., & Kunisch, K. (1997, August 1). Inverse Problems.

By: K. Ito n & K. Kunisch *

topics (OpenAlex): Numerical methods in inverse problems; Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering
Source: Web Of Science
Added: August 6, 2018

1997 article

Molecular layer epitaxy by real-time optical process monitoring

Bachmann, K. J., Höpfner, C., Sukidi, N., Miller, A. E., Harris, C., Aspnes, D. E., … Rossow, U. (1997, March 1). Applied Surface Science, Vol. 112, pp. 38–47.

By: K. Bachmann n, C. Höpfner n, N. Sukidi n, A. Miller n, C. Harris n, D. Aspnes n , N. Dietz n, H. Tran n  ...

topics (OpenAlex): Semiconductor Quantum Structures and Devices; Semiconductor materials and devices; Force Microscopy Techniques and Applications
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

1997 article

On the inhomogeneous system of isentropic gas dynamics by the viscosity method

Fang, W., & Ito, K. (1997, January 1). Proceedings of the Royal Society of Edinburgh Section A Mathematics.

By: W. Fang * & K. Ito n

topics (OpenAlex): Navier-Stokes equation solutions; Advanced Mathematical Physics Problems; Computational Fluid Dynamics and Aerodynamics
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

1997 article

Steady-State Solutions of a One-Dimensional Hydrodynamic Model for Semiconductors

Fang, W., & Ito, K. (1997, January 1). Journal of Differential Equations.

By: W. Fang * & K. Ito n

topics (OpenAlex): Fluid Dynamics and Thin Films; Lattice Boltzmann Simulation Studies
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

1997 article

Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors

Fang, W., & Ito, K. (1997, March 1). Nonlinear Analysis.

By: W. Fang * & K. Ito n

author keywords: hydrodynamic model for semiconductors; hyperbolic systems; viscosity method; compensated compactness
topics (OpenAlex): Navier-Stokes equation solutions; Differential Equations and Numerical Methods; Gas Dynamics and Kinetic Theory
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

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