Center for Research in Scientific Computation

Works Published in 2005

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Displaying works 21 - 39 of 39 in total

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

2005 chapter

Augmented Strategies for Interface and Irregular Domain Problems

In Z. Li, L. Vulkov, & J. Wasniewski (Eds.), Numerical Analysis and Its Applications (pp. 66–79).

By: Z. Li n 

Ed(s): Z. Li n , L. Vulkov & J. Wasniewski

Event: Third International Conference, Numerical Analysis and its Applications 2004 at Rousse, Bulgaria on June 29 - July 3, 2004

TL;DR: The augmented strategies for interface problems and problems defined on irregular domains are reviewed in this paper to get faster algorithms, particularly, to take advantages of existing fast solvers. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2005 journal article

A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems

JOURNAL OF COMPUTATIONAL PHYSICS, 207(1), 354–374.

By: R. Glowinski* & J. Toivanen n

author keywords: non-equilibrium radiation diffusion; multigrid method; preconditioning; Newton-Krylov method; automatic differentiation
TL;DR: This work describes the computation of the Jacobian matrix for Newton's method using automatic differentiation based on the operator overloading in Fortran 90 and proposes a simple multigrid preconditioner applied directly to the coupled linearized problems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Blood pressure and blood flow variation during postural change from sitting to standing: model development and validation

JOURNAL OF APPLIED PHYSIOLOGY, 99(4), 1523–1537.

By: M. Olufsen*, J. Ottesen, H. Tran* , L. Ellwein*, L. Lipsitz & V. Novak

author keywords: cardiovascular system; mathematical modeling; cerebral blood flow; gravitational effect; autonomic regulation; cerebral autoregulation
MeSH headings : Autonomic Nervous System / physiology; Blood Circulation / physiology; Blood Pressure / physiology; Cerebrovascular Circulation / physiology; Homeostasis; Humans; Linear Models; Models, Cardiovascular; Posture / physiology
TL;DR: A mathematical model is presented that can predict dynamic changes in beat-to-beat arterial blood pressure and middle cerebral artery blood flow velocity during postural change from sitting to standing and is in agreement with physiological data from a young subject during postures change from Sitting to standing. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2005 journal article

An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems

JOURNAL OF COMPUTATIONAL PHYSICS, 205(1), 242–268.

By: V. Bokil n & R. Glowinski*

author keywords: fictitious domains; perfectly matched layer; mixed finite element methods; operator splitting
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Population dynamics models in plant-insect herbivore-pesticide interactions

MATHEMATICAL BIOSCIENCES, 196(1), 39–64.

By: B. Adams n, H. Banks n, J. Banks * & J. Stark*

author keywords: plant-insect interactions; inverse problems; hypothesis testing; standard errors in dynamical models
MeSH headings : Animals; Aphids / physiology; Brassica / drug effects; Brassica / parasitology; Brassica / physiology; Insecta / physiology; Insecticides / pharmacology; Mathematics; Models, Biological; Plant Diseases / parasitology; Plant Physiological Phenomena; Plants / drug effects; Plants / parasitology; Population Dynamics
TL;DR: This work considers several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types and three levels of insecticide spray to compare autonomous versus non-autonomous model dynamics. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (Web of Science)
13. Climate Action (Web of Science)
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Journal of Computational Physics, 210(1), 183–224.

By: G. Fibich* & S. Tsynkov n 

author keywords: Kerr media; intense laser light; diffraction; nonparaxiality; nonlinear self-focusing; backscattering; critical and subcritical nonlinearity; solitary waves; counter-propagation; fourth-order approximation; iterative solution; separation of variables; nonlocal artificial boundary conditions (ABCs); Sommerfeld radiation boundary conditions
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2005 article

A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue

MULTISCALE MODELING & SIMULATION, Vol. 3, pp. 395–412.

By: H. Banks* & G. Pinter

author keywords: multiscale modeling; hysteresis; wave propagation; biotissues; probability measures; Prohorov metric
TL;DR: A theoretical framework for treating hysteresis as multiscale phenomena which must be averaged across distributions of internal variables is presented, which entail probability measure-dependent partial differential equations for which well-posedness is established. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2005 journal article

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

QUARTERLY OF APPLIED MATHEMATICS, 63(1), 156–200.

By: H. Banks n & V. Bokil n

author keywords: electromagnetic-acoustic interaction; Debye dielectric materials; pulsed antenna source microwaves; inverse problems; FDTD; statistical inference
Source: Web Of Science
Added: August 6, 2018

2005 journal article

On wavelet-based numerical homogenization

MULTISCALE MODELING & SIMULATION, 3(1), 65–88.

By: A. Chertock n  & D. Levy

Contributors: A. Chertock n  & D. Levy

author keywords: numerical homogenization; wavelets; Helmholtz equation
TL;DR: This work shows how to improve the efficiency of this numerical homogenization method by choosing a different compact representation of the homogenized operator, and suggests an approach for obtaining a sparse representation that is significantly simpler than the alternative sparse representations. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2005 journal article

Quadratic optimization in the problems of active control of sound

Applied Numerical Mathematics, 52(4), 381–400.

By: J. Lončarić* & S. Tsynkov n 

author keywords: noise cancellation; active control sources; volumetric and surface controls; general solution; monopoles and dipoles; radiation of waves; complex-valued quantities; L-2-minimization; overdetermined systems; least squares; unconstrained minimization; constrained minimization
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2005 journal article

Gap detection with electromagnetic terahertz signals

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 6(2), 381–416.

By: H. Banks n, N. Gibson* & W. Winfree*

author keywords: electromagnetic interrogation; dielectrics; terahertz; nonlinear optimization
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Reduced-order-based feedback control of the Kuramoto–Sivashinsky equation

Journal of Computational and Applied Mathematics, 173(1), 1–19.

By: C. Lee* & H. Tran n 

author keywords: viscous film flows; Kuramoto-Sivashinsky equation; nonlinear feedback control; approximate inertial manifold; proper orthogonal decomposition
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018

2005 journal article

Well-posedness results for a class of toxicokinetic models

Dynamic Systems and Applications, 14(2), 297–322.

By: H. Banks & L. Potter

Source: NC State University Libraries
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.

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
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

A temperature-dependent constitutive model for relaxor ferroelectrics

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 16(5), 433–448.

By: R. Smith n  & C. Hom*

author keywords: hysteresis; relaxor ferroelectrics; nonlinear constitutive relations
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

2005 journal article

A homogenized free energy model for hysteresis in thin-film shape memory alloys

THIN SOLID FILMS, 489(1-2), 266–290.

By: J. Massad* & R. Smith* 

author keywords: shape memory alloy; hysteresis model; thin film; polycrystals
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2005 article

Time domain electromagnetic scattering using finite elements and perfectly matched layers

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 194, pp. 149–168.

By: H. Banks n & B. Browning n

author keywords: scattering; Debye; perfectly matched layers; absorbing boundary condition
Source: Web Of Science
Added: August 6, 2018

2005 journal article

On degenerate saturated-diffusion equations with convection

NONLINEARITY, 18(2), 609–630.

By: A. Chertock n , A. Kurganov * & P. Rosenau *

Contributors: A. Chertock n , A. Kurganov * & P. Rosenau *

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2005 journal article

A parameter sensitivity methodology in the context of HIV delay equation models

JOURNAL OF MATHEMATICAL BIOLOGY, 50(6), 607–625.

By: H. Banks n & D. Bortz *

author keywords: sensitivity analysis; parameter sensitivity methodology; HIV Models
MeSH headings : Computer Simulation; HIV / growth & development; HIV Infections / virology; Humans; Models, Biological; Virus Replication
TL;DR: A sensitivity methodology for nonlinear delay systems arising in one class of cellular HIV infection models is presented and theoretical foundations for a typical sensitivity investigation and illustrative computations are given. (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

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