Works Published in 2003

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Displaying works 121 - 130 of 130 in total

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

2003 journal article

Attractors for discrete periodic dynamical systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 286(1), 64–79.

TL;DR: A structure theorem is established which says that the attractor of a time-periodic dynamical system is the union of attractors of appropriate autonomous maps, and properties that the nonautonomous attractor inherits from the autonomous attractor are discussed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

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

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

By: M. Hintermuller, K. Ito* & K. Kunisch

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

2003 journal article

The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(2), 273–303.

By: C. Siewert n

author keywords: Boltzmann equation; rarefied gas dynamics; Kramers; thermal creep; Poiseuille; Couette
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Structured low rank approximation

LINEAR ALGEBRA AND ITS APPLICATIONS, 366(SPEC. ISS.), 157–172.

Contributors: M. Chu n, R. Funderlic n & R. Plemmons*

author keywords: structured matrix; low rank approximation; optimization techniques; Toeplitz matrix
TL;DR: Two procedures for constructing the nearest structured low rank matrix are proposed and are flexible enough that they can be applied to any lower rank, any linear structure, and any matrix norm in the measurement of nearness. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2003 journal article

Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 35(4), 884–921.

author keywords: conservation law; Riemann problem; Dafermos regularization; stability; spectrum; singular perturbation
TL;DR: It is shown, by studying the essential spectrum of the linearized system in a weighted function space, that stability is determ ined by eigenvalues only. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Some comments on modeling the linearized Boltzmann equation

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(1), 43–59.

author keywords: Boltzmann equation; rarefied-gas dynamics; synthetic kernels
Source: Web Of Science
Added: August 6, 2018

2003 article

Pseudotransient continuation and differential-algebraic equations

SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 25, pp. 553–569.

By: T. Coffey, C. Kelley* & D. Keyes

author keywords: pseudotransient continuation; nonlinear equations; steady-state solutions; global convergence; differential-algebraic equations; multirate systems
TL;DR: A global convergence result for pseudotransient continuation applied to DAEs of index 1 is presented, and it is illustrated with numerical experiments on model incompressible flow and reacting flow problems, in which a constraint is employed to step over acoustic waves. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Eudoxus meets Cayley

AMERICAN MATHEMATICAL MONTHLY, 110(10), 912–927.

Source: Web Of Science
Added: August 6, 2018

2003 journal article

Equivariant K-theory, generalized symmetric products, and twisted Heisenberg algebra

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 234(1), 101–127.

By: W. Wang n

Source: Web Of Science
Added: August 6, 2018

2003 journal article

An overview of the immersed interface method and its applications

Taiwanese Journal of Mathematics, 7(1), 1–49.

By: Z. Li*

TL;DR: The immersed interface method for various problems is introduced, its recent advances and related software packages are discussed, and some of its applications are reviewed. (via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

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