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Volume 17, Issue 3
A Nonlinear Galerkin Method with Variable Modes for Kuramoto-Sivashinsky Equation

Yu-Jiang Wu

J. Comp. Math., 17 (1999), pp. 243-256.

Published online: 1999-06

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  • Abstract

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

  • Keywords

Kuramoto-Sivashinsky equation, Nonlinear Galerkin method, Approximation, Convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-243, author = {Wu , Yu-Jiang}, title = {A Nonlinear Galerkin Method with Variable Modes for Kuramoto-Sivashinsky Equation}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {3}, pages = {243--256}, abstract = {

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9099.html} }
TY - JOUR T1 - A Nonlinear Galerkin Method with Variable Modes for Kuramoto-Sivashinsky Equation AU - Wu , Yu-Jiang JO - Journal of Computational Mathematics VL - 3 SP - 243 EP - 256 PY - 1999 DA - 1999/06 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9099.html KW - Kuramoto-Sivashinsky equation, Nonlinear Galerkin method, Approximation, Convergence. AB -

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

Yu-Jiang Wu. (1970). A Nonlinear Galerkin Method with Variable Modes for Kuramoto-Sivashinsky Equation. Journal of Computational Mathematics. 17 (3). 243-256. doi:
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