Unconditionally stable integration of Maxwell's equations
type: Item
instance of: scholarly article
title: Unconditionally stable integration of Maxwell's equations
zbMATH Open document ID: 1170.78004
published in: Linear Algebra and its Applications
publication date: 2009-06-23T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/13942
review text: This paper discusses unconditionally stable integration for a general semi-discrete Maxwell system on space grids that exclude the alternating direction implicit (ADI) approach, and addresses the question whether fully implicit and exponential time integration, eliminating any temporal step-size stability restriction, can be feasible and efficient? For solving the systems of linear algebraic equations arising with implicit integrators , the conjugate gradient iterative method with preconditioning is used, and for exponential integration, Krylov subspace iteration is considered. The paper may be of interest to someone, in the field of Numerical Linear Algebra, working on efficient solvers.
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 5568996
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: stable integration
zbMATH Keywords: alternating direction implicit (ADI) approach
zbMATH Keywords: conjugate gradient iterative method
zbMATH Keywords: Krylov subspace iteration
author: J. G. Verwer
author: Mike A. Botchev
describes a project that uses: Expint
describes a project that uses: ILUT
MaRDI profile type: Publication
OpenAlex ID: W2117493508
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DOI: 10.1016/J.LAA.2008.12.036
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description: scientific article; zbMATH DE number 5568996