Center for Research in Scientific Computation

Works Published in 2005

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Displaying works 1 - 20 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 journal article

Immersed finite element for elasticity system with discontinuities

AMS Contemporary Mathematics, 383, 285–298.

By: Z. Li & X. Yang

Source: NC State University Libraries
Added: December 28, 2021

2005 book

Numerical Analysis and Its Applications

Zhilin Li

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

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

TL;DR: Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem and the Dynamics of Matrix Coupling with an Application to Krylov Methods are discussed. (via Semantic Scholar)
Source: Crossref
Added: March 21, 2021

2005 journal article

The Fourth World Congress of Nonlinear Analysts: Modelling, control and analysis of coupled problems, processes and phenomena

Nonlinear Analysis: Theory, Methods & Applications, 63(5-7), e1421–e1423.

By: R. V.N. Melnik n, R. Smith n & M. Shillor n

Sources: Crossref, ORCID
Added: October 25, 2020

2005 conference paper

Numerical Solution of the Nonlinear Helmholtz Equation Using Nonorthogonal Expansions

Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2005, Brown University, Providence, RI, June 20 -- 24, 2005, 379–381.

By: G. Fibich & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2005 conference paper

Terahertz-Frequency Quantum Oscillator Operating in the Positive Differential Resistance Region

Proceedings of SPIE Defense and Security Symposium 2005: Terahertz for Military & Security Application III, paper number 5790-34, 5790, 289–300.

By: P. Zhao, D. Woolard, M. Lasater & C. Kelley

Event: North Carolina State University, Center for Research in Scientific Computation

Source: ORCID
Added: August 29, 2019

2005 report

Multilevel wavelet solver for the Ornstein-Zernike equation

(No. CRSC-TR05-07). North Carolina State University, Center for Research in Scientific Computation.

By: M. Federov, G. Chuev, C. Kelley & B. Pettitt

Source: ORCID
Added: August 29, 2019

2005 chapter

Fast explicit operator splitting method. Application to the polymer system

In Finite Volumes for Complex Applications IV: Vol. IV (pp. 63–72). ISTE, London.

By: A. Chertock, A. Kurganov & G. Petrova

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2005 chapter

Conservative locally moving mesh method for multifluid flows

In Finite Volumes for Complex Applications IV (pp. 273–284). ISTE, London.

By: A. Chertock & A. Kurganov

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2005 book

Smart Material Systems: Model Development

Philadelphia: SIAM.

By: R. Smith

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2005 journal article

A level-set method for interfacial flows with surfactant

Journal of Computational Physics, 212(2), 590–616.

author keywords: incompressible stokes flow; interfaces; insoluble surfactant; Marangoni force; capillary force; level set method; immersed interface method
TL;DR: The method couples a semi-implicit discretization for solving the surfactant transport equation recently developed by Xu and Zhao with the immersed interface method originally developed by LeVeque and Li, for the first time that the level-set method has been used to simulate fluid interfaces with surfactants. (via Semantic Scholar)
Source: NC State University Libraries
Added: May 17, 2019

2005 journal article

Well-posedness in Maxwell systems with distributions of polarization relaxation parameters

APPLIED MATHEMATICS LETTERS, 18(4), 423–430.

By: H. Banks n & N. Gibson n

author keywords: well-posedness; Maxwell's equations with polarization; relaxation parameters
TL;DR: This work presents existence, uniqueness and continuous dependence (with respect to probability distributions on polarization parameters) of solutions in Maxwell systems and provides a theoretical and computational foundation for associated inverse problems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Parameter estimation techniques for a class of nonlinear hysteresis models

INVERSE PROBLEMS, 21(4), 1363–1377.

By: R. Smith* & A. Hatch*

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

2005 journal article

A homogenized energy model for hysteresis in ferroelectric materials: General density formulation

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 16(9), 713–732.

By: R. Smith n, A. Hatch n, B. Mukherjee* & S. Liu*

author keywords: hysteresis; ferroelectric materials; nonlinear constitutive relations
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

Heterogeneity influence on electric field induced piezoelectric microfracture

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 16(9), 733–741.

By: W. Oates n

author keywords: piezoelectric; microfracture; heterogeneity; weight function
Source: Web Of Science
Added: August 6, 2018

2005 journal article

HIV dynamics: Modeling, data analysis, and optimal treatment protocols

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 184(1), 10–49.

By: B. Adams n, H. Banks n, M. Davidian n, H. Kwon n, H. Tran n, S. Wynne n, E. Rosenberg*

author keywords: HIV models; parameter estimation; data and model reduction; structured treatment interruptions; optimal control
TL;DR: An overview of some concepts and methodologies useful in modeling HIV pathogenesis including parameter estimation, data reduction and representation, and optimal control relative to STI are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

Application of rotational isomeric state theory to ionic polymer stiffness predictions

JOURNAL OF MATERIALS RESEARCH, 20(9), 2443–2455.

By: L. Weiland*, E. Lada*, R. Smith n & D. Leo*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

A hierarchical Bayesian approach for parameter estimation in HIV models

INVERSE PROBLEMS, 21(6), 1803–1822.

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

Parameter estimation in a coupled system of nonlinear size-structured populations

Mathematical Biosciences and Engineering, 2(2), 289–315.

By: A. Ackleh*, H. Banks*, K. Deng & S. Hu n

TL;DR: A least squares technique is developed for identifying unknown parameters in a coupled system of nonlinear size-structured populations and convergence results for the parameter estimation technique are established. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2005 journal article

A rate-dependent two-dimensional free energy model for ferroelectric single crystals

CONTINUUM MECHANICS AND THERMODYNAMICS, 17(4), 337–350.

By: S. Seelecke n, S. Kim*, B. Ball n & R. Smith n

author keywords: ferroelectric materials; 2-D free energy model; hysteresis; rate-dependent effects
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

Pseudo-transient Continuation for Nonsmooth Nonlinear Equations

SIAM J. Numer. Anal., 43(4), 1385–1406.

By: K. Fowler & C. Kelley*

TL;DR: It is shown how steady-state solutions to certain ordinary and differential algebraic equations with nonsmooth dynamics can be computed with the method of pseudo-transient continuation. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

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