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Updated: September 4th, 2024 05:01

2024 journal article

A DIRECT PROBING METHOD OF AN INVERSE PROBLEM FOR THE EIKONAL EQUATION

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *46*(2), A1235–A1251.

author keywords: Eikonal equations; traveltime tomography; direct probing method

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 26, 2024

2023 journal article

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

*APPLIED NUMERICAL MATHEMATICS*, *186*, 164–201.

Source: Web Of Science

Added: April 24, 2023

2022 journal article

Least-squares method for recovering multiple medium parameters

*INVERSE PROBLEMS*, *38*(12).

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: November 7, 2022

2021 journal article

Least squares formulation for ill-posed inverse problems and applications

*APPLICABLE ANALYSIS*, *101*(15), 5247–5261.

author keywords: Ill-posed inverse problem; least squares formulation; continuous dependency on data

Source: Web Of Science

Added: March 29, 2021

2021 journal article

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

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *396*.

author keywords: Semi-decoupling; Nonlinear singular problem with interface; Puiseux series; Compact finite volume method; Augmented variable; High order convergence

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 journal article

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

*FOUNDATIONS OF COMPUTATIONAL MATHEMATICS*, *21*(2), 331–374.

author keywords: Hamilton-Jacobi-Bellman-Isaacs equations; Neural networks; Policy iteration; Inexact semismooth Newton method; Global convergence; q-superlinear convergence

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 journal article

A numerical integration-based Kalman filter for moderately nonlinear systems

*TELLUS SERIES A-DYNAMIC METEOROLOGY AND OCEANOGRAPHY*, *72*(1).

author keywords: data assimilation; Bayesian filtering; Kalman filtering; numerical integration

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)

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: March 8, 2021

2019 journal article

A PARALLEL DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION IN LAYERED MEDIA

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *41*(5), C505–C521.

author keywords: Helmholtz equation; domain decomposition method; preconditioned iterative method; ultrasonic tomography; geological survey

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 journal article

Variational Gaussian approximation for Poisson data

*INVERSE PROBLEMS*, *34*(2).

author keywords: variational Gaussian approximation; Poisson data; hierarchical modeling; Kullback-Leibler divergence; alternating direction maximization

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2016 journal article

A CONVEX ANALYSIS APPROACH TO OPTIMAL CONTROLS WITH SWITCHING STRUCTURE FOR PARTIAL DIFFERENTIAL EQUATIONS

*ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS*, *22*(2), 581–609.

Source: Web Of Science

Added: August 6, 2018

2016 journal article

A SEQUENTIAL METHOD FOR A CLASS OF STABLE MATHEMATICAL PROGRAMMING PROBLEMS

*SIAM JOURNAL ON OPTIMIZATION*, *26*(2), 1262–1292.

author keywords: sequential linearization; optimal bilinear control; mathematical programming; nonsmooth optimization

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 journal article

ANALYSIS ON A NONNEGATIVE MATRIX FACTORIZATION AND ITS APPLICATIONS

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *38*(5), B645–B684.

author keywords: nonnegative matrix factorization; clustering; feature extraction; multilevel analysis; inverse problems

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

*IFAC PAPERSONLINE*, Vol. 49, pp. 199–204.

author keywords: State Estimation; Large-Scale Systems; Order Reduction; Smoothing; Filtering

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

13. Climate Action
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2016 journal article

THE NONNEGATIVE MATRIX FACTORIZATION: REGULARIZATION AND COMPLEXITY

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *38*(2), B327–B346.

author keywords: nonnegative matrix factorization; primal-dual active set; regularization; complexity

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 journal article

DIRECT SAMPLING METHOD FOR DIFFUSIVE OPTICAL TOMOGRAPHY

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *37*(4), A1658–A1684.

author keywords: direct sampling method; diffusive optical 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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2015 journal article

FINITE DIFFERENCE APPROXIMATIONS FOR MEASURE-VALUED SOLUTIONS OF A HIERARCHICALLY SIZE-STRUCTURED POPULATION MODEL

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *12*(2), 233–258.

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

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2015 journal article

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

*JOURNAL OF COMPUTATIONAL PHYSICS*, *298*, 305–319.

author keywords: PDE-constrained optimization; Variational discretization; Immersed finite element; Elliptic interface problem

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 journal article

On the sectorial property of the Caputo derivative operator

*APPLIED MATHEMATICS LETTERS*, *47*, 43–46.

author keywords: Caputo fractional derivative; Sectorial property

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2015 conference paper

The nonnegative matrix factorization and atomic deconvolution

*Proceedings 2015 ieee international conference on bioinformatics and biomedicine*, 1650–1657.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

A Note on the Existence of Nonsmooth Nonconvex Optimization Problems

*JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS*, *163*(3), 697–706.

author keywords: Nonsmooth; Nonconvex optimization; Coerciveness

UN Sustainable Development Goal Categories

10. Reduced Inequalities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2014 journal article

A direct sampling method for electrical impedance tomography

*INVERSE PROBLEMS*, *30*(9).

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Immersed Interface CIP for One Dimensional Hyperbolic Equations

*COMMUNICATIONS IN COMPUTATIONAL PHYSICS*, *16*(1), 96–114.

author keywords: CIP method; immersed interface method; hyperbolic equations in discontinuous media

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Multi-parameter Tikhonov regularization - An augmented approach

*CHINESE ANNALS OF MATHEMATICS SERIES B*, *35*(3), 383–398.

author keywords: Multi-parameter regularization; Augmented Tikhonov regularization; Balanced discrepancy principle

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)

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2014 journal article

OPTIMAL CONTROL WITH L-p(Omega), p epsilon [0,1), CONTROL COST

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *52*(2), 1251–1275.

author keywords: L-0 minimization; optimal control; bang-bang control; sparsity optimization; maximum principle; nonsmooth optimization; primal-dual active set method

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 journal article

A direct sampling method for inverse electromagnetic medium scattering

*INVERSE PROBLEMS*, *29*(9).

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2013 journal article

A two-stage method for inverse medium scattering

*JOURNAL OF COMPUTATIONAL PHYSICS*, *237*, 211–223.

author keywords: Inverse medium scattering problem; Reconstruction algorithm; Direct sampling method; Mixed regularization; Semi-smooth Newton method

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2013 journal article

A variational approach to sparsity optimization based on Lagrange multiplier theory

*INVERSE PROBLEMS*, *30*(1).

Source: Web Of Science

Added: August 6, 2018

2013 journal article

Optimal control laws for traffic flow

*APPLIED MATHEMATICS LETTERS*, *26*(6), 617–623.

author keywords: Traffic signal control; Binary optimization; Lyapunov method; Real time optimal 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)

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2013 journal article

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

*INVERSE PROBLEMS*, *29*(7).

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2012 journal article

A MINIMUM EFFORT OPTIMAL CONTROL PROBLEM FOR ELLIPTIC PDES

*ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE*, *46*(4), 911–927.

author keywords: Optimal control; minimum effort; L-infinity control cost; semi-smooth Newton method

Source: Web Of Science

Added: August 6, 2018

2012 journal article

A direct sampling method to an inverse medium scattering problem

*INVERSE PROBLEMS*, *28*(2).

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2012 journal article

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

*ADVANCES IN APPLIED MATHEMATICS AND MECHANICS*, *4*(1), 21–35.

author keywords: Navier-Stokes equations; sensitivity analysis; flow past cylinder; embedding technique; immersed interface method; irregular domain; augmented system; projection method; fluid-solid interaction

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 journal article

A REGULARIZATION PARAMETER FOR NONSMOOTH TIKHONOV REGULARIZATION

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *33*(3), 1415–1438.

author keywords: regularization parameter; nonsmooth functional; value function; error estimate

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 journal article

A new approach to nonlinear constrained Tikhonov regularization

*INVERSE PROBLEMS*, *27*(10).

Source: Web Of Science

Added: August 6, 2018

2011 journal article

A new choice rule for regularization parameters in Tikhonov regularization

*APPLICABLE ANALYSIS*, *90*(10), 1521–1544.

author keywords: parameter choice; a posteriori error estimate; Tikhonov regularization

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.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MATHEMATICAL PROGRAMMING PROBLEMS IN FUNCTION SPACES

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *49*(5), 2133–2154.

author keywords: KKT conditions; nonsmooth optimization; necessary optimality

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 journal article

MINIMAL EFFORT PROBLEMS AND THEIR TREATMENT BY SEMISMOOTH NEWTON METHODS

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *49*(5), 2083–2100.

author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method

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 journal article

APPROXIMATE NULLSPACE ITERATIONS FOR KKT SYSTEMS

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *31*(4), 1835–1847.

author keywords: KKT systems; iterative solvers; optimization

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 journal article

MINIMAL INVASION: AN OPTIMAL L-infinity STATE CONSTRAINT PROBLEM

*ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE*, *45*(3), 505–522.

author keywords: Optimal control; optimal L-infinity state constraint; semi-smooth Newton method

Source: Web Of Science

Added: August 6, 2018

2010 journal article

SEMISMOOTH NEWTON METHODS FOR TIME-OPTIMAL CONTROL FOR A CLASS OF ODES

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *48*(6), 3997–4013.

author keywords: semismooth Newton method; time-optimal control

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 journal article

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

*JOURNAL OF COMPUTATIONAL PHYSICS*, *228*(7), 2616–2628.

author keywords: Navier-Stokes equations; Embedding technique; Immersed interface method; Irregular domain; Augmented system; Projection method; Level set representation

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 journal article

ASYMPTOTIC PROPERTIES OF FEEDBACK SOLUTIONS FOR A CLASS OF QUANTUM CONTROL PROBLEMS

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *48*(4), 2323–2343.

author keywords: feedback control; asymptotic tracking; Schrodinger equations

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 journal article

LAGRANGE MULTIPLIER APPROACH WITH OPTIMIZED FINITE DIFFERENCE STENCILS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *31*(4), 2646–2664.

author keywords: American option pricing; stochastic volatility model; linear complementarity problem; finite difference method; quadratic programming; multigrid method; Lagrange method; penalty method

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)

UN Sustainable Development Goal Categories

8. Decent Work and Economic Growth
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2009 journal article

On the shape derivative for problems of Bernoulli type

*Interfaces and Free Boundaries*, *11*(2), 317–330.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Optimal control of parabolic variational inequalities

*JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES*, *93*(4), 329–360.

Source: Web Of Science

Added: August 6, 2018

2008 journal article

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

*JOURNAL OF COMPUTATIONAL PHYSICS*, *227*(19), 8685–8698.

author keywords: fast Helmholtz solver; scattering from elastic targets; domain decomposition preconditioner

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 conference paper

A finite element method for interface problems with locally modified triangulations

*Moving interface problems and applications in fluid dynamics*, *466*, 179–190.

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.

author keywords: Stokes equations; compact fourth order MAC finite difference scheme; staggered grid

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 conference paper

A high order finite difference scheme for the Stokes equations

*Moving interface problems and applications in fluid dynamics*, *466*, 35–51.

Source: NC State University Libraries

Added: August 6, 2018

2008 journal 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

*INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING*, *23*(2), 193–215.

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2008 journal article

REDUCED-ORDER OPTIMAL CONTROL BASED ON APPROXIMATE INERTIAL MANIFOLDS FOR NONLINEAR DYNAMICAL SYSTEMS

*SIAM JOURNAL ON NUMERICAL ANALYSIS*, *46*(6), 2867–2891.

author keywords: reduced-order methods; approximate inertial manifold; nonlinear Galerkin; decomposition of state space; infinite dimensional system

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 journal article

Semi-smooth Newton methods for the Signorini problem

*APPLICATIONS OF MATHEMATICS*, *53*(5), 455–468.

Source: Web Of Science

Added: August 6, 2018

2008 journal article

Variational approach to shape derivatives

*ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS*, *14*(3), 517–539.

author keywords: shape derivative

Source: Web Of Science

Added: August 6, 2018

2007 article

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

*APPLIED NUMERICAL MATHEMATICS*, Vol. 57, pp. 811–820.

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems

*IEEE TRANSACTIONS ON AUTOMATIC CONTROL*, *52*(12), 2332–2338.

author keywords: actuator faults; distributed parameter systems; fault accommodation; nonlinear actuator dynamics

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)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

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.

Sources: Crossref, NC State University Libraries

Added: February 24, 2020

2007 journal article

Convergence of the primal-dual active set strategy for diagonally dominant systems

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *46*(1), 14–34.

author keywords: primal-dual active set strategy; diagonally dominant systems; bilateral constraints; globalization

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)

UN Sustainable Development Goal Categories

10. Reduced Inequalities
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2007 journal article

On a semi-smooth Newton method and its globalization

*MATHEMATICAL PROGRAMMING*, *118*(2), 347–370.

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Optimal bilinear control of an abstract Schrodinger equation

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *46*(1), 274–287.

author keywords: Schrodinger equation; C(0)-groups; optimal control; optimality systems; monotone scheme

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 journal article

Optimal control of obstacle problems by H-1-obstacles

*APPLIED MATHEMATICS AND OPTIMIZATION*, *56*(1), 1–17.

author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Shape derivatives without taking the shape derivative

*PAMM*, *7*(1), 1061005–1061006.

Source: Crossref

Added: February 24, 2020

2006 journal article

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

*MATHEMATICAL BIOSCIENCES*, *204*(1), 21–48.

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

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2006 journal article

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

*COMPUTERS & FLUIDS*, *36*(3), 622–635.

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.

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.

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

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

*APPLIED MATHEMATICS LETTERS*, *19*(3), 229–234.

author keywords: incompressible Stokes equations; interface; discontinuous viscosity; interface conditions; singular sources

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

2006 journal article

Material surface design to counter electromagnetic interrogation of targets

*SIAM JOURNAL ON APPLIED MATHEMATICS*, *66*(3), 1027–1049.

author keywords: electromagnetic; inverse scattering; attenuation

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)

Source: Web Of Science

Added: August 6, 2018

2006 journal article

Preconditioned iterative methods on sparse subspaces

*APPLIED MATHEMATICS LETTERS*, *19*(11), 1191–1197.

author keywords: subspace iteration; preconditioning; Krylov subspace method; domain decomposition method; fictitious domain method; interface problem

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 journal article

Receding horizon control with incomplete observations

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *45*(1), 207–225.

author keywords: receding horizon control; incomplete observations; dynamic compensator

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)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2006 book

The immersed interface method: Numerical solutions of PDEs involving interfaces and irregular domains

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2005 journal article

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

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *194*(2), 395–408.

Source: Web Of Science

Added: August 6, 2018

2005 journal article

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

*IEEE TRANSACTIONS ON AUTOMATIC CONTROL*, *50*(9), 1291–1306.

author keywords: locomotion; optimal gaits; numerical optimal control; reduction

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)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2005 journal article

An optimal optical flow

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *44*(2), 728–742.

author keywords: optical flow; feedback solution

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2005 journal article

Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *27*(1), 346–367.

author keywords: fourth order finite difference schemes; elliptic and parabolic equations on irregular domains; immersed interface method

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 journal article

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

*JOURNAL OF APPLIED PHYSICS*, *98*(3).

Source: Web Of Science

Added: August 6, 2018

2005 journal article

Measure-valued solutions for a hierarchically size-structured population

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *217*(2), 431–455.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2005 journal article

Parabolic variational inequalities: The Lagrange multiplier approach

*JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES*, *85*(3), 415–449.

Source: Web Of Science

Added: August 6, 2018

2005 journal article

Variational approach to shape derivatives for a class of Bernoulli problems

*JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS*, *314*(1), 126–149.

author keywords: shape derivative; Bernoulli problem; level set

Source: Web Of Science

Added: August 6, 2018

2004 journal article

LBIC imaging of semiconductor arrays: The cross-sectional model

*MATHEMATICAL AND COMPUTER MODELLING*, *40*(1-2), 127–136.

author keywords: homogenization; LBIC; semiconductor arrays; inverse problem; parameter identification

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

*INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS*, Vol. 19, pp. 309–313.

author keywords: inverse problem; regularization; fast fourier transform

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2004 journal article

Reduced order control based on approximate inertial manifolds

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *415*(2-3), 531–541.

Source: Web Of Science

Added: August 6, 2018

2004 journal article

The primal-dual active set method for nonlinear optimal control problems with bilateral constraints

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *43*(1), 357–376.

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.

Ed(s): C. A. Rantzer

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

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

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *159*(2), 399–410.

author keywords: inverse problem; level-set methods; semiconductor

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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

*SOLID-STATE ELECTRONICS*, *48*(3), 409–414.

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Optimal control formulation for determining optical flow

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *24*(3), 818–847.

author keywords: optical flow; optimal control; system of hyperbolic and elliptic partial differential equations; TVD scheme; multigrid method

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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

*SYSTEMS & CONTROL LETTERS*, *50*(3), 221–228.

author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians

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 journal article

Semi-smooth Newton methods for variational inequalities of the first kind

*ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE*, *37*(1), 41–62.

UN Sustainable Development Goal Categories

10. Reduced Inequalities
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method

*JOURNAL OF SCIENTIFIC COMPUTING*, *19*(1-3), 253–266.

author keywords: non-linear interface problem; magneto-rheological fluid; maximum principal preserving scheme; immersed interface method; level set method; substitution method

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 journal article

Three-dimensional elliptic solvers for interface problems and applications

*JOURNAL OF COMPUTATIONAL PHYSICS*, *184*(1), 215–243.

author keywords: 3D elliptic interface problem; irregular domain; discontinuous coefficient; discrete maximum preserving scheme; quadratic optimization; algebraic multigrid; shape identification; level set method

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 journal article

A computational model for sound field absorption by acoustic arrays

*Journal of Intelligent Material Systems and Structures*, *13*(4), 231–240.

Source: NC State University Libraries

Added: August 6, 2018

2002 article

An optimal control approach to optical flow computation

Borzi, A., Ito, K., & Kunisch, K. (2002, September 10). *INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS*, Vol. 40, pp. 231–240.

author keywords: optical flow; optimal control

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

Asymptotic properties of receding horizon optimal control problems

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *40*(5), 1585–1610.

author keywords: receding horizon control; model prediction control; control Liapunov function; stabilizability; Liapunov equation

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)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2002 book

Evolution equations and approximations

Source: NC State University Libraries

Added: August 6, 2018

2002 journal article

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

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *48*(2), 303–322.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

Optimal control of the solid fuel ignition model with H-1-cost

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *40*(5), 1455–1472.

author keywords: optimal control; control of exponential nonlinearity; explosion phenomena; optimality conditions

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)

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

Parameter identification for semiconductor diodes by LBIC imaging

*SIAM JOURNAL ON APPLIED MATHEMATICS*, *62*(6), 2149–2174.

author keywords: semiconductor diodes; LBIC; drift-diffusion; parameter identification; inverse problems; elliptic partial differential equations/systems; discontinuous coefficients

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)

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

Receding horizon optimal control for infinite dimensional systems

*ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS*, *8*, 741–760.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

The primal-dual active set strategy as a semismooth Newton method

*SIAM JOURNAL ON OPTIMIZATION*, *13*(3), 865–888.

author keywords: complementarity problems; function spaces; semismooth Newton method

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 journal article

An electrochemistry model with nonlinear diffusion: steady-state solutions

*IMA JOURNAL OF APPLIED MATHEMATICS*, *66*(2), 195–213.

author keywords: electrochemistry; integro-differential equations; nonlinear diffusion

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

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*, Vol. 15, pp. 894–903.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Existence of solutions to the Hamilton-Jacobi-Bellman equation under quadratic growth conditions

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *176*(1), 1–28.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices

*MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES*, *11*(5), 827–840.

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 journal article

Identification of some source densities of the distribution type

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *132*(2), 295–308.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Level-set function approach to an inverse interface problem

*INVERSE PROBLEMS*, *17*(5), 1225–1242.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2001 journal article

Maximum principle preserving schemes for interface problems with discontinuous coefficients

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *23*(1), 339–361.

author keywords: elliptic interface problems; finite difference methods; discontinuous coefficients; singular source term; discrete maximum principle; quadratic optimization; multigrid methods

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 journal article

Nonlinear exothermic contributions to radio-frequency bonding of adhesives

*NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS*, *2*(3), 357–386.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Reduced basis method for optimal control of unsteady viscous flows

*INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS*, *15*(2), 97–113.

author keywords: reduced order models; optimal control; unsteady viscous flows

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

*MATHEMATICAL AND COMPUTER MODELLING*, Vol. 33, pp. 173–192.

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

*MATHEMATICAL AND COMPUTER MODELLING*, Vol. 33, pp. 273–284.

author keywords: magnetorheological fluids; homogenization; effective properties

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

An approximation theory or strongly stabilizing solutions to the operator LQ Riccati equation

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *38*(6), 1909–1937.

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Approximation of the Kushner equation for nonlinear filtering

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *38*(3), 893–915.

author keywords: Kushner equation; operator-splitting method

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 journal article

Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *41*(5-6), 591–616.

Source: Web Of Science

Added: August 6, 2018

2000 journal article

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

*INVERSE PROBLEMS*, *16*(4), 909–928.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

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

*PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY*, *129*(4), 1037–1040.

author keywords: electrochemistry; integro-differential equations

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Gaussian filters for nonlinear filtering problems

*IEEE TRANSACTIONS ON AUTOMATIC CONTROL*, *45*(5), 910–927.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Newton's method for class of weakly singular optimal control problems

*SIAM JOURNAL ON OPTIMIZATION*, *10*(3), 896–916.

author keywords: Newton's method; optimal control; singular systems; 2-norm technique

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 journal article

Optimal control of elliptic variational inequalities

*APPLIED MATHEMATICS AND OPTIMIZATION*, *41*(3), 343–364.

Source: Web Of Science

Added: August 6, 2018

2000 article

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

*JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS*, Vol. 18, pp. 1190–1195.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Weak solutions for diffusion-convection equations

*APPLIED MATHEMATICS LETTERS*, *13*(3), 69–75.

author keywords: diffusion-convection equations; L-infinity bounds of weak solutions

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 Goal Categories

13. Climate Action
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

*INVERSE PROBLEMS*, *15*(4), 1067–1085.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

*RAIRO. Mathematical Modelling and Numerical Analysis*, *33*(1), 1–21.

Source: NC State University Libraries

Added: August 6, 2018

1999 journal article

Estimation of the effective permeability in magnetorheological fluids

*JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES*, *10*(11), 872–879.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Primal-dual strategy for constrained optimal control problems

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *37*(4), 1176–1194.

author keywords: active set; augmented Lagrangian; primal-dual method; optimal control

Source: Web Of Science

Added: August 6, 2018

1999 article

Real-time optical control of Ga1-xInxP film growth by p-polarized reflectance

*JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A*, Vol. 17, pp. 1300–1306.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Simulations of particle dynamics in magnetorheological fluids

*JOURNAL OF COMPUTATIONAL PHYSICS*, *155*(1), 160–177.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1998 journal article

A reduced-order method for simulation and control of fluid flows

*JOURNAL OF COMPUTATIONAL PHYSICS*, *143*(2), 403–425.

Source: Web Of Science

Added: August 6, 2018

1998 journal article

An approximation theory of solutions to operator Riccati equations for H(infinity) control

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *36*(1), 82–99.

Source: Web Of Science

Added: August 6, 2018

1998 journal article

Optimal control of thermally convected fluid flows

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *19*(6), 1847–1869.

author keywords: flow control; temperature control; optimization; Navier-Stokes equations; finite element methods

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 journal article

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

*JOURNAL OF CRYSTAL GROWTH*, *183*(3), 323–337.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science)

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). *THIN SOLID FILMS*, Vol. 313, pp. 614–619.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1998 journal article

The Trotter-Kato theorem and approximation of PDEs

*MATHEMATICS OF COMPUTATION*, *67*(221), 21–44.

Source: Web Of Science

Added: August 6, 2018

1998 journal article

Viscous scalar conservation law with nonlinear flux feedback and global attractors

*JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS*, *227*(1), 271–299.

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

1997 journal article

Estimation of the convection coefficient in elliptic equations

*INVERSE PROBLEMS*, *13*(4), 995–1013.

Source: Web Of Science

Added: August 6, 2018

1997 journal article

Molecular layer epitaxy by real-time optical process monitoring

*Applied Surface Science*, *112*(1997 Mar.), 38–47.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science)

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1997 journal article

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

*PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS*, *127*, 261–280.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1997 journal article

Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *133*(2), 224–244.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1997 journal article

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

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *28*(5), 947–963.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

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