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Volumn 152, Issue 1-2, 2003, Pages 305-317

High-order schemes for conservative or dissipative systems

Author keywords

Backward difference formula; Energy conservation; Energy dissipation; Finite difference method; Hamiltonian systems

Indexed keywords

COST EFFECTIVENESS; DAMPING; ENERGY CONSERVATION; FINITE DIFFERENCE METHOD; HAMILTONIANS;

EID: 0037336855     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00713-6     Document Type: Article
Times cited : (21)

References (12)
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    • αG/δu that inherit energy conservation or dissipation property, J. Comput. Phys. 156 (1999) 181-205.
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    • Furihata, D.1
  • 3
    • 0041079077 scopus 로고    scopus 로고
    • A stable and conservative finite difference scheme for the Cahn-Hilliard equation
    • D. Furihata, A stable and conservative finite difference scheme for the Cahn-Hilliard equation, Numer. Math. 87 (2001) 675-679.
    • (2001) Numer. Math. , vol.87 , pp. 675-679
    • Furihata, D.1
  • 4
    • 0012216472 scopus 로고    scopus 로고
    • A stable, conservative, and linear finite difference scheme for the Cahn-Hilliard equation
    • to appear
    • D. Furihata, T. Matsuo, A stable, conservative, and linear finite difference scheme for the Cahn-Hilliard equation, Japan J. Indust. Appl. Math., to appear.
    • Japan J. Indust. Appl. Math.
    • Furihata, D.1    Matsuo, T.2
  • 5
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete Hamiltonian systems
    • O. Gonzalez, Time integration and discrete Hamiltonian systems, Nonlinear Sci. 6 (1996) 449-467.
    • (1996) Nonlinear Sci. , vol.6 , pp. 449-467
    • Gonzalez, O.1
  • 8
    • 45449125258 scopus 로고
    • Hamiltonian-conserving discrete canonical equations based on variational difference quotients
    • T. Itoh, K. Abe, Hamiltonian-conserving discrete canonical equations based on variational difference quotients, J. Comput. Phys. 77 (1988) 85-102.
    • (1988) J. Comput. Phys. , vol.77 , pp. 85-102
    • Itoh, T.1    Abe, K.2
  • 9
    • 0000589798 scopus 로고    scopus 로고
    • 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 (2001) 425-447.
    • (2001) J. Comput. Phys. , vol.171 , pp. 425-447
    • Matsuo, T.1    Furihata, D.2
  • 10
    • 0347607037 scopus 로고    scopus 로고
    • Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method
    • to appear
    • T. Matsuo, M. Sugihara, D. Furihata, M. Mori, Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method, Japan J. Ind. Appl. Math., to appear.
    • Japan J. Ind. Appl. Math.
    • Matsuo, T.1    Sugihara, M.2    Furihata, D.3    Mori, M.4
  • 12
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • H. Yoshida, Construction of higher order symplectic integrators, Phys. Lett. A 150 (1990) 262-268.
    • (1990) Phys. Lett. A , vol.150 , pp. 262-268
    • Yoshida, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.