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Volumn 21, Issue 2, 2003, Pages 135-144

Variational integrators for higher order differential equations

Author keywords

Symplectic mapping; Variational integrator

Indexed keywords

COMPUTER SIMULATION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0042969142     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (10)
  • 1
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    • A. P. Veselov, [1998], Integrable discrete-time systems and difference operators, Funkts. Anal. Prilozhen, 22, 1-33.
    • (1988) Funkts. Anal. Prilozhen , vol.22 , pp. 1-33
    • Veselov, A.P.1
  • 3
    • 0030621830 scopus 로고    scopus 로고
    • A family of symplectic integrators: Stability, accuracy, and nonlinear dynamics applications
    • R. D. Skeel, G. Zhang, and T. Schlick, [1997], A fang of symplectic integrators: Stability, Accuracy, and Nonlinear Dynamics Applications, SIAM. J. Sci. Comput. 18(1), 203-222.
    • (1997) SIAM. J. Sci. Comput. , vol.18 , Issue.1 , pp. 203-222
    • Skeel, R.D.1    Zhang, G.2    Schlick, T.3
  • 4
    • 0031210701 scopus 로고    scopus 로고
    • Mechanical integrators derived from a discrete variational principle
    • J. M. Wendlandt, J. E. Marsden, [1997], Mechanical integrators derived from a discrete variational principle, Physica D 106, 223-246.
    • (1997) Physica D , vol.106 , pp. 223-246
    • Wendlandt, J.M.1    Marsden, J.E.2
  • 7
    • 0002956967 scopus 로고
    • A multisymplectic framework for classical field theory and the calculus of variations. I. covariant hamiltonian formalism, mechanics, analysis, and geometry
    • 200 Years after Lagrange, Francaviglia M. (ed.), (North Holland, Amsterdam)
    • M. J. Gotay, [1991], A multisymplectic framework for classical field theory and the calculus of variations. I. Covariant Hamiltonian formalism, Mechanics, Analysis, and Geometry: 200 Years after Lagrange, M. Francaviglia ed., (North Holland, Amsterdam), 203-235.
    • (1991) , pp. 203-235
    • Gotay, M.J.1
  • 8
  • 9
    • 0003034563 scopus 로고
    • The symplectic methods for computation of Hamiltonian system
    • Zhu Y.L., and Guo B.Y., (ed.), Berlin: Springer, Lecture Notes in Math.
    • K. Feng, M. Z. Qin, [1987], The symplectic methods for computation of Hamiltonian system, in Y. L. Zhu, B. Y. Guo, ed. Proc. Conf. On Numerical Methods for PDEs, Berlin: Springer, Lecture Notes in Math. 1297, 1-37.
    • (1987) Proc. Conf. On Numerical Methods for PDEs , vol.1297 , pp. 1-37
    • Feng, K.1    Qin, M.Z.2
  • 10
    • 33746314863 scopus 로고
    • Symplectic integration of Hamiltonian systems
    • P. J. Channel and C. Scovel, [1990], Symplectic integration of Hamiltonian systems, Nonlinearity 3, 231-259.
    • (1990) Nonlinearity , vol.3 , pp. 231-259
    • Channel, P.J.1    Scovel, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.