期刊
JOURNAL OF SCIENTIFIC COMPUTING
卷 56, 期 1, 页码 28-44出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-012-9662-z
关键词
Multirate time integration; Extrapolation methods; Multiscale; Linear stability
资金
- Office of Advanced Scientific Computing Research, Office of Science, U.S. Department of Energy [DE-AC02-06CH11357]
- National Science Foundation [NSF CCF-0515170]
- NSF [NSF CCF-0515170, NSF OCI-0904397, NSF CCF-0916493, NSF DMS-0915047]
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [0904397] Funding Source: National Science Foundation
In this paper we construct extrapolated multirate discretization methods that allows one to efficiently solve problems that have components with different dynamics. This approach is suited for the time integration of multiscale ordinary and partial differential equations and provides highly accurate discretizations. We analyze the linear stability properties of the multirate explicit and linearly implicit extrapolated methods. Numerical results with multiscale ODEs illustrate the theoretical findings.
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