On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to Kuramoto-Sivashinsky Equation

Wu Yu-jiang () and Yang Zhong-hua
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Wu Yu-jiang: Lanzhou University, Department of Mathematics
Yang Zhong-hua: Shanghai Normal University, School of Mathematical Science

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 383-397 from Springer

Abstract: Abstract We investigate the fully discrete schemes of the nonlinear Galerkin method with variable modes for solving the Kuramoto-Sivashinsky equation. We address also the problem of error analysis for the approximate solutions. Theoretical and numerical verification shows that we can change appropriately the number of modes of the small structure components which will lead the discretization to the higher precision than usual.

Keywords: nonlinear Galerkin methods; Kuramoto-Sivashinsky equations; full discretization (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_26

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DOI: 10.1007/978-1-4615-0113-8_26

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