Displaying works **21 - 40** of **53** in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2012 journal article

Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

*Journal of Fluid Mechanics*, *694*, 155–190.

Contributors: A. Chertock^{ n} , K. Fellner ^{*}, A. Kurganov ^{*}, A. Lorz^{*} & P. Markowich^{*}

author keywords: bioconvection; computational methods; micro-organism dynamics

UN Sustainable Development Goal Categories

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

Sources: Crossref, ORCID, NC State University Libraries

Added: July 20, 2019

2012 book

A functional analysis framework for modeling, estimation, and control in science and engineering

Source: NC State University Libraries

Added: August 6, 2018

2012 conference paper

Density function optimization for the homogenized energy model of shape memory alloys

*Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 2011), vol 1*, 371–379.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 conference paper

A strain model for piezoelectric materials operating in highly hysteretic regimes

*Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent systems (SMASIS 2011), vol 2*, 241–249.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 journal article

Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Holder Spaces

*ADVANCES IN APPLIED MATHEMATICS AND MECHANICS*, *4*(6), 737–750.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2012 article

Hybrid Deterministic/Monte Carlo Neutronics using GPU Accelerators

*2012 11TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES)*, pp. 43–47.

author keywords: Neutron Transport; Jacobian-Free Newton-Krylov; GPU; Monte Carlo

TL;DR:
A GPU implementation of a hybrid deterministic/Monte Carlo method for the solution of the neutron transport equation using GPUs to perform a Monte Carlo transport sweep as part of the evaluation of the nonlinear residual and Jacobian-vector product is discussed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2012 journal article

The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

*JOURNAL OF SCIENTIFIC COMPUTING*, *53*(1), 150–193.

Sources: Web Of Science, NC State University Libraries, ORCID

Added: August 6, 2018

2012 journal article

A DIVISION-DEPENDENT COMPARTMENTAL MODEL FOR COMPUTING CELL NUMBERS IN CFSE-BASED LYMPHOCYTE PROLIFERATION ASSAYS

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *9*(4), 699–736.

author keywords: Cell proliferation; cell division number; CFSE; label structured population dynamics; partial differential equations; inverse problems

MeSH headings : Animals; Cell Division / physiology; Cell Proliferation; Computer Simulation; Fluoresceins; Humans; Image Interpretation, Computer-Assisted / methods; Lymphocyte Count / methods; Lymphocytes / cytology; Lymphocytes / physiology; Microscopy, Fluorescence / methods; Models, Biological; Succinimides

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

A COMPARISON OF COMPUTATIONAL EFFICIENCIES OF STOCHASTIC ALGORITHMS IN TERMS OF TWO INFECTION MODELS

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *9*(3), 487–526.

author keywords: Dynamical models; continuous time Markov chain models; stochastic simulation algorithms; Gillespie; tau-leaping; bacterial and viral infection models

MeSH headings : Algorithms; Computer Simulation / statistics & numerical data; Enterococcus / drug effects; Gram-Positive Bacterial Infections / drug therapy; Gram-Positive Bacterial Infections / epidemiology; Gram-Positive Bacterial Infections / transmission; HIV Infections / epidemiology; HIV Infections / transmission; Humans; Models, Statistical; Population Dynamics; Vancomycin Resistance

TL;DR:
The numerical results suggest that the SSA is the best choice due to its simplicity and accuracy for the simpler VRE model, and with the larger and more complex HIV model, implementation and modification of tau-Leaping methods are preferred.
(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

2012 journal article

Modelling and optimal control of immune response of renal transplant recipients

*JOURNAL OF BIOLOGICAL DYNAMICS*, *6*(2), 539–567.

author keywords: renal transplant; human cytomegalovirus; mathematical model; optimal feedback control; state estimation; model predictive control

MeSH headings : Computer Simulation; Humans; Immunity / drug effects; Immunity / immunology; Immunosuppression Therapy; Immunosuppressive Agents / pharmacology; Infections / microbiology; Infections / virology; Kidney Transplantation / immunology; Models, Immunological; Transplantation Immunology / drug effects; Virus Activation / drug effects

TL;DR:
A mathematical model is formulated to describe the immune response to both viral infection and introduction of a donor kidney in a renal transplant recipient, and a computational framework for designing adaptive optimal treatment regimes with partial observations and low-frequency sampling is developed.
(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

2012 journal article

Data-driven techniques to estimate parameters in the homogenized energy model for shape memory alloys

*JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES*, *23*(17), 1897–1920.

author keywords: Shape memory alloys; hysteresis; parameter estimation

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

The homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Implementation algorithms and data-driven parameter estimation techniques

*JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES*, *23*(16), 1869–1894.

author keywords: Actuator; ferroelectric; hysteresis; piezoelectric

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science; OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

Homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Material properties and uniaxial model development

*JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES*, *23*(16), 1833–1867.

author keywords: Ferroelectric hysteresis; nonlinear models

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(Web of Science; OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

A review of selected techniques in inverse problem nonparametric probability distribution estimation

*Journal of Inverse and Ill-Posed Problems*, *20*(4), 429–460.

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

A linearized inverse scattering problem for the polarized waves and anisotropic targets

*Inverse Problems*, *28*(8), 085009.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Sources: Web Of Science, NC State University Libraries, ORCID, Crossref

Added: August 6, 2018

2012 journal article

Thermal based methods for damage detection and characterization in porous materials

*Inverse Problems*, *28*(6), 065021.

UN Sustainable Development Goal Categories

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

Sources: Crossref, NC State University Libraries

Added: August 6, 2018

2012 journal article

SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES

*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B*, *17*(4), 1155–1174.

author keywords: Helmholtz equation; irregular domain; embedding method; elliptic interface problem; finite difference method; discrete maximum principle; level set function; immersed interface method; augmented IIM

TL;DR:
Two new finite difference methods are proposed for solving Helmholtz equations on irregular domains, or with interfaces, and a new maximum principle preserving finite difference method is developed.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

Experimental design and inverse problems in plant biological modeling

*Journal of Inverse and Ill-Posed Problems*, *20*(2), 169–191.

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS

*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B*, *17*(4), 1175–1184.

author keywords: Immersed interface method; augmented method; projection method; Navier-Stokes; moving interface; implicit scheme; fluid-structure

TL;DR:
An augmented immersed interface method for simulating the dynamics of a deformable structure with mass in an incompressible fluid and shows that the fluid-structure system has bi-stability: a stationary state for a smaller Reynolds number and an oscillatoryState for a larger Reynolds number.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

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

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