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Volumn 71, Issue 3, 2005, Pages 243-253

Variational formulation for the multisymplectic Hamiltonian systems

Author keywords

Integrators; Multisymplectic; Variation

Indexed keywords


EID: 18244380317     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-1813-9     Document Type: Article
Times cited : (12)

References (10)
  • 1
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    • (1997) Math. Proc. Cam. Phil. Sob. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 2
    • 0037832748 scopus 로고    scopus 로고
    • Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
    • Bridges, T. J. and Reich, S.: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity, Phys. Lett. A 284 (2001), 184-193.
    • (2001) Phys. Lett. A , vol.284 , pp. 184-193
    • Bridges, T.J.1    Reich, S.2
  • 3
    • 0042315367 scopus 로고    scopus 로고
    • Total variation in discrete multisymplectic field theory and multisymplectic energy momentum integrators
    • Chen, J. B.: Total variation in discrete multisymplectic field theory and multisymplectic energy momentum integrators, Lett. Math. Phys. 61 (2002), 63-73.
    • (2002) Lett. Math. Phys. , vol.61 , pp. 63-73
    • Chen, J.B.1
  • 4
    • 0742333387 scopus 로고    scopus 로고
    • Multisymplectic geometry, local conservation laws and a multisymplectic integrator for the Zakharov-Kuznetsov equation
    • Chen, J. B.: Multisymplectic geometry, local conservation laws and a multisymplectic integrator for the Zakharov-Kuznetsov equation, Lett. Math. Phys. 63 (2003), 115-124.
    • (2003) Lett. Math. Phys. , vol.63 , pp. 115-124
    • Chen, J.B.1
  • 5
    • 0037396154 scopus 로고    scopus 로고
    • Total variation in Hamiltonian formalism and symplectic-energy integrators
    • Chen, J. B., Guo, H. Y and Wu, K.: Total variation in Hamiltonian formalism and symplectic-energy integrators, J. Math. Phys. 44 (2003), 1688-1702.
    • (2003) J. Math. Phys. , vol.44 , pp. 1688-1702
    • Chen, J.B.1    Guo, H.Y.2    Wu, K.3
  • 6
    • 0035617778 scopus 로고    scopus 로고
    • On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism
    • Guo, H. Y., Li, Y Q. and Wu, K.: On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism, Comm. Theor. Phys. 35 (2001), 703-710.
    • (2001) Comm. Theor. Phys. , vol.35 , pp. 703-710
    • Guo, H.Y.1    Li, Y.Q.2    Wu, K.3
  • 7
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
    • Marsden, J. E., Patrick, G. W. and Shkoller, S.: Multisymplectic geometry, variational integrators, and nonlinear PDEs, Comm. Math. Phys. 199 (1998), 351-395.
    • (1998) Comm. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.W.2    Shkoller, S.3
  • 9
    • 0034687898 scopus 로고    scopus 로고
    • Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
    • Reich, S.: Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations, J. Comput. Phys. 157 (2000), 473-499.
    • (2000) J. Comput. Phys. , vol.157 , pp. 473-499
    • Reich, S.1
  • 10
    • 0034640067 scopus 로고    scopus 로고
    • Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
    • Zhao, P. F. and Qin, M. Z.: Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation, J. Phys. A: Math Gen. 33 (2000), 3613-3626.
    • (2000) J. Phys. A: Math Gen. , vol.33 , pp. 3613-3626
    • Zhao, P.F.1    Qin, M.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.