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Fourier collocation splittings for partial differential equations
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DOI：10.1006/jcph.1998.5954.png)
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In this article we study computational issues related to a nonlinear Galerkin type splitting (NLG) of partial differential equations in the case of a Fourier collocation discretization. We present an extension of the method to two-dimensional problems and show that the sole separation of modes in NLG can bring precision and computational costs advantages to the standard collocation scheme. Numerical experiments with the Burgers and a reaction-diffusion equation for 1 and 2 dimensions are also shown. (C) 1998 Academic Press.
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CONVERGENCE
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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