期刊
JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY
卷 9, 期 1, 页码 65-93出版社
SAGE PUBLICATIONS LTD
DOI: 10.1260/1748-3018.9.1.65
关键词
Multiscale splitting; iterative splitting; additive splitting; stochastic differential equations; deterministic differential equations
In this paper are presented some recent advances in multiscale splitting methods, based on additive and iterative schemes and applied to deterministic and stochastic differential equations. Several interesting algorithmic aspects of these novel splitting schemes will be discussed. For example, why a decomposed, or split, system may be the key to many important applications in multiply scaled subjects, and why iterative splitting methods can be powerful and more appropriate for well-balanced coupled nonlinear problems. Both theoretical and practical aspects of the recent advances in splitting methods for multiphysics and multiscale applications will be discussed.
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