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Volumn 36, Issue 1, 1996, Pages 122-134

Enhancing energy conserving methods

Author keywords

Energy momentum methods; Hamiltonian differential equations; Implicit methods; Symplectic methods

Indexed keywords


EID: 0043084528     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01740549     Document Type: Article
Times cited : (17)

References (18)
  • 2
    • 0001564321 scopus 로고
    • Danger of multiple-time-step methods
    • J. J. Biesiadecki and R. D. Skeel, Danger of multiple-time-step methods, J. Comput. Phys. 109 (1993), pp. 318-328.
    • (1993) J. Comput. Phys. , vol.109 , pp. 318-328
    • Biesiadecki, J.J.1    Skeel, R.D.2
  • 4
    • 45449123467 scopus 로고
    • Lie-Poisson integrators and Lie-Poisson Hamiltonian-Jacobi theory
    • Z. Ge and J. E. Marsden, Lie-Poisson integrators and Lie-Poisson Hamiltonian-Jacobi theory, Phys. Lett. A 133 (1988), pp. 134-139.
    • (1988) Phys. Lett. A , vol.133 , pp. 134-139
    • Ge, Z.1    Marsden, J.E.2
  • 5
    • 2542631529 scopus 로고
    • On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
    • Stanford University, Stanford, USA
    • O. Gonzales and J. C. Simo, On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry, Techn. Report, Stanford University, Stanford, USA, 1994.
    • (1994) Techn. Report
    • Gonzales, O.1    Simo, J.C.2
  • 6
    • 0002786392 scopus 로고
    • Conservative numerical methods for ẍ = f(x)
    • D. Greenspan, Conservative numerical methods for ẍ = f(x), J. Comput. Phys., 56 (1984), pp. 28-41.
    • (1984) J. Comput. Phys. , vol.56 , pp. 28-41
    • Greenspan, D.1
  • 7
    • 85033763012 scopus 로고
    • Completely conservative numerical methodology for N-body problems with distance-dependent potentials
    • Contributions in Numerical Mathematics
    • D. Greenspan, Completely conservative numerical methodology for N-body problems with distance-dependent potentials. In: Contributions in Numerical Mathematics, WSSIAA 2 (1993), pp. 197-201.
    • (1993) WSSIAA , vol.2 , pp. 197-201
    • Greenspan, D.1
  • 8
    • 0008856708 scopus 로고
    • Implicit Runge-Kutta methods for higher index differential-algebraic systems
    • Contributions in Numerical Mathematics
    • E. Hairer and L. Jay, Implicit Runge-Kutta methods for higher index differential-algebraic systems. In: Contributions in Numerical Mathematics, WSSIAA 2 (1993), pp. 213-224.
    • (1993) WSSIAA , vol.2 , pp. 213-224
    • Hairer, E.1    Jay, L.2
  • 10
    • 2542538605 scopus 로고
    • Energy and momentum conserving methods II
    • R. A. La Budde and D. Greenspan, Energy and momentum conserving methods II, Numer. Math., 26 (1976), pp. 1-16.
    • (1976) Numer. Math. , vol.26 , pp. 1-16
    • La Budde, R.A.1    Greenspan, D.2
  • 11
    • 0007148604 scopus 로고
    • Resonance in the dynamics of chemical systems simulated by the implicit midpoint scheme
    • M. Mandziuk and T. Schlick, Resonance in the dynamics of chemical systems simulated by the implicit midpoint scheme, Chemical Physics Letters, 237 (1995), pp. 525-535.
    • (1995) Chemical Physics Letters , vol.237 , pp. 525-535
    • Mandziuk, M.1    Schlick, T.2
  • 13
    • 0000761544 scopus 로고
    • Momentum, conserving symplectic integrators
    • S. Reich, Momentum, conserving symplectic integrators, Physica D, 76 (1994), pp. 375-383.
    • (1994) Physica D , vol.76 , pp. 375-383
    • Reich, S.1
  • 14
    • 85033742007 scopus 로고    scopus 로고
    • Smoothed dynamics of highly oscillatory Hamiltonian systems
    • to appear
    • S. Reich, Smoothed dynamics of highly oscillatory Hamiltonian systems, Physica D, to appear.
    • Physica D
    • Reich, S.1
  • 15
    • 84971897259 scopus 로고
    • Symplectic integrators for Hamiltonian problems: An overview
    • J. M. Sanz-Serna, Symplectic integrators for Hamiltonian problems: An overview, Acta Numerica, 1 (1991), pp. 243-286.
    • (1991) Acta Numerica , vol.1 , pp. 243-286
    • Sanz-Serna, J.M.1
  • 16
    • 34249830447 scopus 로고
    • The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
    • J. C. Simo and N. Tarnow, The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics, ZAMP, 43 (1992), pp. 757-793.
    • (1992) ZAMP , vol.43 , pp. 757-793
    • Simo, J.C.1    Tarnow, N.2
  • 18
    • 22944467757 scopus 로고
    • Computer 'experiments' on classical fluids. I. thermodynamical properties of Lennard-Jones molecules
    • L. Verlet, Computer 'experiments' on classical fluids. I. thermodynamical properties of Lennard-Jones molecules, Phys. Rev., 159 (1967), pp. 98-103.
    • (1967) Phys. Rev. , vol.159 , pp. 98-103
    • Verlet, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.