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

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Recent Progress in Computational and Applied PDES

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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.

Project Supported by Foundation for University Key Teacher by the Ministry of Education grant GG-110-73001-1014.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Lanzhou University, 730000, Lanzhou, China

    Wu Yu-jiang

  2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Scienses, 100080, CAS, Beijing, China

    Wu Yu-jiang

  3. School of Mathematical Science, Shanghai Normal University, 200234, Shanghai, China

    Yang Zhong-hua

Authors
  1. Wu Yu-jiang
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  2. Yang Zhong-hua
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Editor information

Editors and Affiliations

  1. University of California at Los Angeles, Los Angeles, California, USA

    Tony F. Chan

  2. Xiangtan University, Xiangtan City of Hunan, China

    Yunqing Huang

  3. Hong Kong Baptist University, Hong Kong, China

    Tao Tang

  4. Pennsylvania State University, University Park, Pennsylvania, USA

    Jinchao Xu

  5. Peking University, Beijing, China

    Long-An Ying

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© 2002 Springer Science+Business Media New York

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Yu-jiang, W., Zhong-hua, Y. (2002). On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to Kuramoto-Sivashinsky Equation. In: Chan, T.F., Huang, Y., Tang, T., Xu, J., Ying, LA. (eds) Recent Progress in Computational and Applied PDES. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0113-8_26

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  • DOI: https://doi.org/10.1007/978-1-4615-0113-8_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4929-7

  • Online ISBN: 978-1-4615-0113-8

  • eBook Packages: Springer Book Archive

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