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Volumn 149, Issue 2, 2004, Pages 299-326

Numerical implementation of the multisymplectic Preissman scheme and its equivalent schemes

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FUNCTIONS; HAMILTONIANS; SOLITONS; SYSTEM STABILITY;

EID: 0348170697     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00080-8     Document Type: Article
Times cited : (25)

References (12)
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    • Implicit spectral methods for wave propagation problems
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  • 3
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    • A conservative finite element method for the Korteweg-de Vries equation
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    • Winther, R.1
  • 4
    • 0032711626 scopus 로고    scopus 로고
    • Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization
    • Hairer E., Lubich C. Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization. Appl. Numer. Math. 29:1999;57-71.
    • (1999) Appl. Numer. Math. , vol.29 , pp. 57-71
    • Hairer, E.1    Lubich, C.2
  • 6
    • 0003034563 scopus 로고
    • The symplectic methods for computation of Hamiltonian systems
    • Y.L. Zhu, & B.-Y. Guo., Proc. Conf. on Numerical Methods for PDEs, Berlin: Springer
    • Feng K., Qin M.Z. The symplectic methods for computation of Hamiltonian systems. Zhu Y.L., Guo B.-Y. Proc. Conf. on Numerical Methods for PDEs. Lecture Notes in Math. vol. 1297:1987;1-37 Springer, Berlin.
    • (1987) Lecture Notes in Math , vol.1297 , pp. 1-37
    • Feng, K.1    Qin, M.Z.2
  • 7
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
    • Marsden J.E., Patrick G.P., Shkoller S. Multisymplectic geometry, variational integrators, and nonlinear PDEs. Commun. Math. Phys. 199:1998;351-395.
    • (1998) Commun. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.P.2    Shkoller, S.3
  • 8
    • 0037832748 scopus 로고    scopus 로고
    • Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
    • Bridges T.J., Reich S. Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity. Phys. Lett. A. 284(4-5):2001;184-193.
    • (2001) Phys. Lett. A , vol.284 , Issue.4-5 , pp. 184-193
    • Bridges, T.J.1    Reich, S.2
  • 9
    • 0034640067 scopus 로고    scopus 로고
    • Multisymplectic geometry and multisymplectic Preissman scheme for the KdV equation
    • Zhao P.F., Qin M.Z. Multisymplectic geometry and multisymplectic Preissman scheme for the KdV equation. J. Phys. A: Math. Gen. 33:2000;1626-3613.
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    • Zhao, P.F.1    Qin, M.Z.2
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    • Multisymplectic geometry and multisymplectic scheme for the nonlinear Klein Gordon equation
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.