Center for Research in Scientific Computation

Works Published in 1999

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Displaying works 21 - 37 of 37 in total

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

1999 journal article

The immersed finite volume element methods for the elliptic interface problems

MATHEMATICS AND COMPUTERS IN SIMULATION, 50(1-4), 63–76.

By: R. Ewing*, Z. Li n, T. Lin* & Y. Lin*

author keywords: finite volume; convergence; error estimate; interface problems
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition

SIAM JOURNAL ON OPTIMIZATION, 10(1), 43–55.

By: C. Kelley n

author keywords: Nelder-Mead algorithm; sufficient decrease; stagnation
TL;DR: A test for sufficient decrease is proposed which, if passed for all iterations, will guarantee convergence of the Nelder--Mead iteration to a stationary point if the objective function is smooth and the diameters of theNelder-Mead simplices converge to zero. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

A priori bounds and structural stability for double-diffusive convection incorporating the Soret effect

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 455(1983), 767–777.

By: B. Straughan n & K. Hutter n

author keywords: structural stability; Soret effect; double-diffusive convection; a priori estimates; continuous dependence
Source: Web Of Science
Added: August 6, 2018

1999 journal article

A fast multilevel algorithm for the solution of nonlinear systems of conductive-radiative heat transfer equations in two space dimensions

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(4), 1214–1228.

By: J. Banoczi & C. Kelley*

author keywords: conductive-radiative heat transfer; multilevel algorithm; compact fixed point problems
TL;DR: A fast multilevel algorithm for the solution of a system of nonlinear integro-differential equations that model steady-state combined conductive-radiative heat transfer in two space dimensions is described. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Pointwise convergence of approximation schemes for parameter estimation in parabolic equations

APPLIED MATHEMATICS LETTERS, 12(7), 27–30.

By: H. Banks n & L. Zia*

author keywords: finite elements; bicubic splines; 2-D domain; transport models; parameter estimation
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems

APPLIED MATHEMATICS LETTERS, 12(6), 129–133.

By: H. Banks n & G. Pinter n

author keywords: nonlinear hyperbolic systems; parameter estimation; approximation
TL;DR: An approximation framework and theoretical convergence results for a class of parameter estimation problems for general abstract nonlinear hyperbolic systems, including as a special case those modeling a large class of nonlinear elastomers. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Optimal design of a high pressure organometallic chemical vapor deposition reactor

MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80.

Source: Web Of Science
Added: August 6, 2018

1999 journal article

Estimates for the Nash-Sofer preconditioner for the reduced Hessian for some elliptic variational inequalities

SIAM JOURNAL ON OPTIMIZATION, 9(2), 327–341.

By: T. Choi* & C. Kelley*

author keywords: preconditioners; reduced Hessian; elliptic variational inequalities
TL;DR: A class of examples is presented to show how the quality of the Nash--Sofer preconditioner can be directly estimated and one consequence is that if the Hessian is the five-point discretization of a certain type of strongly elliptic operator with homogeneous Dirichlet boundary conditions on an $n \times n$ mesh, then the condition number of the reduced Hessian can be lowered. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

A complete steady state model of solute and water transport in the kidney

MATHEMATICAL AND COMPUTER MODELLING, 29(6), 63–82.

By: N. Kottler n, H. Tran n & D. Wessell n

author keywords: transport model; biomathematics; differential algebraic system; inserve problem; numerical methods
TL;DR: A detailed model, along with an optimized set of parameters for the proximal tubule, is incorporated into J. L. Stephenson's current central core model of the nephron to show that the modeled behavior approximates, in a general way, the physiological mechanisms of solvent and solute flow in the kidney. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1999 journal article

Data express - Gigabit junction with the next-generation Internet

IEEE SPECTRUM, 36(2), 18–25.

By: J. Collins*, J. Dunn*, P. Emer n & M. Johnson*

TL;DR: NCNI's work, which predates most initiatives for the Internet's second generation, serves as a model of how various regions can latch onto the coming information superhighway to good effect. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Fast and accurate numerical approaches for Stefan problems and crystal growth

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 35(4), 461–484.

By: Z. Li* & B. Soni

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

1999 journal article

Representation of GaP formation by a reduced order surface kinetics model using p-polarized reflectance measurements

JOURNAL OF APPLIED PHYSICS, 86(1), 674–682.

By: S. Beeler n, H. Tran n & N. Dietz n

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1999 journal article

A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid

JOURNAL OF COMPUTATIONAL PHYSICS, 152(1), 281–304.

By: Z. Li*, H. Zhao & H. Gao

UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1999 journal article

Well-posedness for a class of abstract nonlinear parabolic systems with time delay

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(5), 629–648.

By: H. Banks n & C. Musante n

author keywords: nonlinear parabolic distributed parameter systems with delays; existence; uniqueness; variational form; toxicokinetic modeling; liver transport models
Source: Web Of Science
Added: August 6, 2018

1999 book

Iterative Methods for Optimization

By: C. Kelley*

Event: at Philadelphia

TL;DR: Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Convergence of the sinc overlapping domain decomposition method

APPLIED MATHEMATICS AND COMPUTATION, 98(2-3), 209–227.

By: A. Morlet*, N. Lybeck n & K. Bowers*

author keywords: domain decomposition; sinc method; sinc collocation; overlapping
TL;DR: The details of the convergence proof are given for a sinc-collocation method for two-point boundary-value problems when the original domain is divided into two subdomains and the exponential convergence rate is exponential. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Convergence analysis of the immersed interface method

IMA JOURNAL OF NUMERICAL ANALYSIS, 19(4), 583–608.

By: H. Huang & Z. Li

TL;DR: A rigorous error analysis is given for the immersed interface method (IIM) applied to elliptic problems with discontinuities and singularities, and second-order convergence of IIM is indicated by the analysis. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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