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Some Practical Experience with the Time Integration of Dissipative Equations

✍ Scribed by Bosco Garcı́a-Archilla

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
262 KB
Volume
122
Category
Article
ISSN
0021-9991

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✦ Synopsis

Different methods for the numerical integration of evolution dissipative partial differential equations are tested with the KuramotoSivashinsky equation. Discretizations in space include Galerkin and nonlinear Galerkin methods. For integration in time three different codes are used, including standard stiff ODE methods. Numerical tests show that standard codes for stiff ODE render a gain of computing time of several orders of magnitude with respect problemtailored methods. 1995 Academic Press, Inc.

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