메뉴 건너뛰기




Volumn 18, Issue 4, 2002, Pages 523-536

A multisymplectic variational integrator for the nonlinear Schrödinger equation

Author keywords

Multisymplectic integrator; Multisymplectic structure; Nonlinear Schr dinger equation; Variational integrator

Indexed keywords


EID: 0036644593     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.10021     Document Type: Article
Times cited : (17)

References (16)
  • 3
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • T. J. Bridges, Multi-symplectic structures and wave propagation, Math Proc Cam Phil Soc 121 (1997), 147-190.
    • (1997) Math Proc Cam Phil Soc , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 4
    • 34249766017 scopus 로고
    • Symplectic integration of Hamiltonian wave equations
    • R. McLachlan, Symplectic integration of Hamiltonian wave equations, Numer Math 66 (1994), 465-492.
    • (1994) Numer Math , vol.66 , pp. 465-492
    • McLachlan, R.1
  • 5
    • 0003034563 scopus 로고
    • The symplectic methods for computation of Hamiltonian equations
    • Y. L. Zhu and B. Y. Guo, editors, Springer Lecture Notes in Mathematics, Berlin
    • K. Feng and M. Z. Qin, The symplectic methods for computation of Hamiltonian equations, Y. L. Zhu and B. Y. Guo, editors, Proc Conf on Numerical Methods for PDE's, Springer Lecture Notes in Mathematics, Berlin, 1987, 1-37.
    • (1987) Proc Conf on Numerical Methods for PDE's , pp. 1-37
    • Feng, K.1    Qin, M.Z.2
  • 9
    • 0037832748 scopus 로고    scopus 로고
    • Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
    • in press
    • T. J. Bridges and S. Reich, Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity, Phys Lett A (in press, 2001).
    • (2001) Phys Lett A
    • Bridges, T.J.1    Reich, S.2
  • 10
    • 0034687898 scopus 로고    scopus 로고
    • Multi-Symplectic Runge-Kutta Collocation Methods for Hamiltonian Wave Equations
    • S. Reich, Multi-Symplectic Runge-Kutta Collocation Methods for Hamiltonian Wave Equations, J Comput Phys 157 (2000), 473-494.
    • (2000) J Comput Phys , vol.157 , pp. 473-494
    • Reich, S.1
  • 11
    • 0013039699 scopus 로고    scopus 로고
    • Multi-symplectic geometry, covariant Hamiltonians and water waves
    • J. E. Marsden and S. Shkoller, Multi-symplectic geometry, covariant Hamiltonians and water waves, Math Proc Camb Phil Soc 125 (1999), 553-575.
    • (1999) Math Proc Camb Phil Soc , vol.125 , pp. 553-575
    • Marsden, J.E.1    Shkoller, S.2
  • 12
    • 0032476963 scopus 로고    scopus 로고
    • Multi-symplectic geometry, variational integrators, and nonlinear PDEs
    • J. E. Marsden, G. P. Patrick, and S. Shkoller, Multi-symplectic 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.P.2    Shkoller, S.3
  • 14
    • 0001009551 scopus 로고
    • Symplectic approach to the theory of quantized fields. II
    • P. L. García and A. Pérez-Rendón, Symplectic approach to the theory of quantized fields. II, Arch Rat Mech Anal 43 (1971), 101-124.
    • (1971) Arch Rat Mech Anal , vol.43 , pp. 101-124
    • García, P.L.1    Pérez-Rendón, A.2
  • 15
    • 0035582791 scopus 로고    scopus 로고
    • The symplectic Evans matrix, and the instability of solitary waves and fronts
    • T. J. Bridges and G. Derks, The symplectic Evans matrix, and the instability of solitary waves and fronts, Arch Rat Mech Anal 156 (2001), 1-87.
    • (2001) Arch Rat Mech Anal , vol.156 , pp. 1-87
    • Bridges, T.J.1    Derks, G.2
  • 16
    • 0348111182 scopus 로고    scopus 로고
    • Symplectic and multisymplectic methods for the nonlinear Schrödinger equation
    • in press
    • J.-B. Chen, M.-Z. Qin, and Y.-F. Tang, Symplectic and multisymplectic methods for the nonlinear Schrödinger equation, Computers Math Appl (in press, 2001).
    • (2001) Computers Math Appl
    • Chen, J.-B.1    Qin, M.-Z.2    Tang, Y.-F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.