Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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A novel method for simulating the complex Ginzburg-Landau equation


Authors: Daniel Goldman and Lawrence Sirovich
Journal: Quart. Appl. Math. 53 (1995), 315-333
MSC: Primary 35Q55; Secondary 65M12, 76E30, 76F99
DOI: https://doi.org/10.1090/qam/1330655
MathSciNet review: MR1330655
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Abstract: We present a split-step method for integration of the complex Ginzburg-Landau equation in any number of spatial dimensions. The novel aspect of the method lies in the fact that each portion of the splitting is explicitly integrable. This leads to an extremely fast, stable, and efficient procedure. A comparison is made with spectral and pseudospectral procedures which have appeared in the literature.


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DOI: https://doi.org/10.1090/qam/1330655
Article copyright: © Copyright 1995 American Mathematical Society


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