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Preconditioned implicit-exponential integrators (IMEXP) for stiff PDEs

delete2017-04-01
delete12
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OA
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V
Vũ Thái Luân *
G
Greg Rainwater
DOI:10.1016/j.jcp.2017.01.054delete
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Abstract

Abstract

En 中文
We propose two new classes of time integrators for stiff DEs: the implicit exponential (IMEXP) and the hybrid exponential methods. In contrast to the existing exponential schemes, the new methods offer significant computational advantages when used with preconditioners. Any preconditioner can be used with any of these new schemes. This leads to a broader applicability of exponential methods. The proof of convergence of these integrators and numerical demonstration of their efficiency are presented. (C) 2017 Elsevier Inc. All rights reserved.
Keywords:
Exponential integrators
Stiff differential equations
Implicit-explicit exponential
Preconditioner
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Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.5W
Citations:
7.4W

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University of California System cover
University of California System
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37.5W
Papers: 33.7W
Citations: 6.6K