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Volumn 43, Issue 4, 2009, Pages 645-649

Energy-preserving runge-kutta methods

Author keywords

B series; Energy preserving integrators; Hamiltonian systems; Runge Kutta methods

Indexed keywords

HAMILTONIANS;

EID: 79251649326     PISSN: 0764583X     EISSN: 12903841     Source Type: Journal    
DOI: 10.1051/m2an/2009020     Document Type: Article
Times cited : (100)

References (12)
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    • Chartier, P.1    Faou, E.2    Murua, A.3
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    • Stability of Runge-Kutta methods for trajectory problems
    • G.J. Cooper, Stability of Runge-Kutta methods for trajectory problems. IMA J. Numer. Anal. 7 (1987) 1-13.
    • (1987) IMA J. Numer. Anal , vol.7 , pp. 1-13
    • Cooper, G.J.1
  • 5
    • 18244388472 scopus 로고    scopus 로고
    • Energy conservation with non-symplectic methods: Examples and counter-examples
    • E. Faou, E. Hairer and T.-L. Pham, Energy conservation with non-symplectic methods: examples and counter-examples. BIT 44 (2004) 699-709.
    • (2004) BIT , vol.44 , pp. 699-709
    • Faou, E.1    Hairer, E.2    Pham, T.-L.3
  • 7
    • 0034507584 scopus 로고    scopus 로고
    • Preserving algebraic invariants with Runge-Kutta methods
    • A. Iserles and A. Zanna, Preserving algebraic invariants with Runge-Kutta methods. J. Comput. Appl. Math. 125 (2000) 69-81.
    • (2000) J. Comput. Appl. Math , vol.125 , pp. 69-81
    • Iserles, A.1    Zanna, A.2
  • 8
    • 0001127934 scopus 로고    scopus 로고
    • Numerical integrators that preserve symmetries and reversing symmetries
    • R.I. McLachlan, G.R.W. Quispel and G.S. Turner, Numerical integrators that preserve symmetries and reversing symmetries. SIAM J. Numer. Anal. 35 (1998) 586-599.
    • (1998) SIAM J. Numer. Anal , vol.35 , pp. 586-599
    • McLachlan, R.I.1    Quispel, G.R.W.2    Turner, G.S.3
  • 10
    • 43049117191 scopus 로고    scopus 로고
    • A new class of energy-preserving numerical integration methods
    • G.R.W. Quispel and D.I. McLaren, A new class of energy-preserving numerical integration methods. J. Phys. A 41 (2008) 045206.
    • (2008) J. Phys. A , vol.41 , pp. 045206
    • Quispel, G.R.W.1    McLaren, D.I.2
  • 12
    • 0022786742 scopus 로고
    • Conservation laws and the numerical solution of ODEs
    • L.F. Shampine, Conservation laws and the numerical solution of ODEs. Comput. Math. Appl. 12B (1986) 1287-1296
    • (1986) Comput. Math. Appl , vol.12 B , pp. 1287-1296
    • Shampine, L.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.