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Volumn 5, Issue 1-2, 2010, Pages 17-37

Hamiltonian boundary value methods (Energy preserving discrete line integral methods)

Author keywords

Discrete line integral; Energy conservation; Exact conservation of the Hamiltonian; Hamiltonian Boundary Value Methods; Hamiltonian problems; HBVMs

Indexed keywords


EID: 79251644908     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (296)

References (15)
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    • Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems
    • (arXiv:0909.5659)
    • L.Brugnano, F. Iavernaro, D. Trigiante. Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems. Submitted for publication, 2009 (arXiv:0909.5659).
    • (2009) Submitted for publication
    • Brugnano, L.1    Iavernaro, F.2    Trigiante, D.3
  • 5
    • 18244388472 scopus 로고    scopus 로고
    • Energy conservation with non-symplectic methods: Examples and counter-examples
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    • Faou, E.1    Hairer, E.2    Pham, T.-L.3
  • 6
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    • Gonzales, O.1
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    • 35348892759 scopus 로고    scopus 로고
    • S-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
    • F. Iavernaro, B. Pace. s-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type. AIP Conf. Proc. 936 (2007) 603-606.
    • (2007) AIP Conf. Proc. , vol.936 , pp. 603-606
    • Iavernaro, F.1    Pace, B.2
  • 11
    • 67650694301 scopus 로고    scopus 로고
    • High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems
    • F. Iavernaro, D. Trigiante. High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems. J. Numer. Anal. Ind. Appl. Math. 4,1-2 (2009) 87-101.
    • (2009) J. Numer. Anal. Ind. Appl. Math. , vol.4 , Issue.1-2 , pp. 87-101
    • Iavernaro, F.1    Trigiante, D.2
  • 12
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    • Hamiltonian-conserving discrete canonical equations based on variational difference quotients
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    • Itoh, T.1    Abe, K.2
  • 13
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    • Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
    • T.Matsuo, D. Furihata. Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations. J. Comput. Phys. 171 no. 2 (2001) 425-447.
    • (2001) J. Comput. Phys. , vol.171 , Issue.2 , pp. 425-447
    • Matsuo, T.1    Furihata, D.2
  • 15
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    • A new class of energy-preserving numerical integration methods
    • G.R.W.Quispel, D.I.McLaren. A new class of energy-preserving numerical integration methods. J. Phys. A 41 (2008) 04526, 7.
    • (2008) J. Phys. A , vol.41
    • Quispel, G.R.W.1    McLaren, D.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.