Multirate numerical integration for parabolic PDEs

V. Savcenco, E. Savcenco

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Abstract

To solve PDE problems with different time scales that are localized in space, multirate time integration is examined. This technique enables one to use large time steps for slowly time-varying spatial regions, and small steps for rapidly varying ones. Multirate time stepping is coupled with the local uniform grid refinement and provides a robust and efficient method for the target problem class. We primarily consider implicit time stepping methods, suitable for parabolic problems. Numerical results are presented for a test problem.
Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics (International Conference, Psalidi (Kos), Greece, September 16-20, 2008)
EditorsT.E. Simos, G. Psihoyios, C. Tsitouras
PublisherAmerican Institute of Physics
Pages470-473
ISBN (Print)978-0-7354-0576-9
DOIs
Publication statusPublished - 2008

Publication series

NameAIP Conference Proceedings
Volume1048
ISSN (Print)0094-243X

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