A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations-Reference-Cited by-同舟云学术

A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations

Published:2022-11-30 Issue:1 Volume:94 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Yin Xu,Cao Waixiang^ORCID

Funder

National Natural Science of Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-022-02061-w.pdf

Reference25 articles.

1. An, J., Cao, W., Zhang, Z.: A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. Commun. Math. Sci. 18(2), 395–428 (2020)

2. Arnold, D.N., Winther, R.: A superconvergent finite element method for the Korteweg-de Vries equation. Math. Comput. 38, 23–36 (1982)

3. Cao, W., Huang, Q.: Superconvergence of local discontinuous Galerkin methods for partial differential equations with higher order derivatives. J. Sci. Comput. 72, 761–791 (2017)

4. Cheng, Y., Shu, C.-W.: A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77, 699–730 (2008)

5. Cui, Y., Mao, D.: Numerical method statisfying the first two conservation laws for the Korteweg-de Vries equation. J. Comput. Phys. 227(1), 376–399 (2007)

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