The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
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- by Jialin Hong, Hongyu Liu and Geng Sun;
- Math. Comp. 75 (2006), 167-181
- DOI: https://doi.org/10.1090/S0025-5718-05-01793-X
- Published electronically: September 29, 2005
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Abstract:
In this article we consider partitioned Runge-Kutta (PRK) methods for Hamiltonian partial differential equations (PDEs) and present some sufficient conditions for multi-symplecticity of PRK methods of Hamiltonian PDEs.References
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Bibliographic Information
- Jialin Hong
- Affiliation: State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, People’s Republic of China
- Email: hjl@lsec.cc.ac.cn
- Hongyu Liu
- Affiliation: Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
- Address at time of publication: Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, People’s Republic of China
- Email: hyliu@math.cuhk.edu.hk
- Geng Sun
- Affiliation: Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
- Email: sung@mail.amss.ac.cn
- Received by editor(s): November 23, 2004
- Published electronically: September 29, 2005
- Additional Notes: The first author was supported by the Director Innovation Foundation of ICMSEC and AMSS, the Foundation of CAS, the NNSFC (No.19971089, No.10371128) and the Special Funds for Major State Basic Research Projects of China G1999032804
The third author was supported in part by the Director Innovation Foundation of the Institute of Mathematics and the AMSS - © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 75 (2006), 167-181
- MSC (2000): Primary 65P10, 58F05; Secondary 65M06, 65M99, 65N06, 65N99, 58F99, 58G99
- DOI: https://doi.org/10.1090/S0025-5718-05-01793-X
- MathSciNet review: 2176395