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Du, Qiang; Zhu, Wenxiang

Analysis and applications of the exponential time differencing schemes and their contour integration modifications. (English) Zbl 1080.65074

BIT 45, No. 2, 307-328 (2005).
Authors’ abstract: We study the exponential time differencing (ETD) schemes and their modifications via complex contour integrations for the numerical solutions of parabolic type equations. We illustrate that the contour integration shares an added advantage of improving the stability of the time integration. In addition, we demonstrate the effectiveness of the ETD type schemes through the numerical solution of a typical problem in phase field modeling and through the comparisons with other existing methods.
Reviewer: Nicolae Pop (Baia Mare)

Cited in 73 Documents

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations

Keywords:

numerical examples; comparison of methods; exponential time differencing schemes; complex contour integrations; parabolic type equations; stability

Software:

RODAS
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Full Text: DOI

References:

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