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Volumn 167, Issue 2, 2003, Pages 85-146

Asynchronous variational integrators

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EID: 0037934346     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-002-0212-y     Document Type: Review
Times cited : (222)

References (33)
  • 3
    • 0002874243 scopus 로고
    • The structure of the space solutions of Einstein's equations: II Several Killing fields and the Einstein-Yang-Mills equations
    • J.M. ARMS, J.E. MARSDEN & V. MONCRIEF [1982], The structure of the space solutions of Einstein's equations: II Several Killing fields and the Einstein-Yang-Mills equations, Ann. Physics, 144, 81-106.
    • (1982) Ann. Physics , vol.144 , pp. 81-106
    • Arms, J.M.1    Marsden, J.E.2    Moncrief, V.3
  • 4
    • 0037495248 scopus 로고
    • Partitioned and adaptive algorithms for explicit time integration
    • W. WUNDERLICH, E. STEIN & K.-J. BATHE, editors, Springer-Verlag
    • T. BELYTSCHKO [1981], Partitioned and adaptive algorithms for explicit time integration. In W. WUNDERLICH, E. STEIN & K.-J. BATHE, editors, Nonlinear Finite Element Analysis in Structural Mechanics, 572-584. Springer-Verlag.
    • (1981) Nonlinear Finite Element Analysis in Structural Mechanics , pp. 572-584
    • Belytschko, T.1
  • 5
    • 0002841907 scopus 로고
    • Mesh partitions of explicit-implicit time integrators
    • K.-J. BATHE, J. T. ODEN & W. WUNDERLICH, editors, MIT Press
    • T. BELYTSCHKO & R. MULLEN [1976], Mesh partitions of explicit-implicit time integrators. In K.-J. BATHE, J. T. ODEN & W. WUNDERLICH, editors, Formulations and Computational Algorithms in Finite Element Analysis, 673-690. MIT Press.
    • (1976) Formulations and Computational Algorithms in Finite Element Analysis , pp. 673-690
    • Belytschko, T.1    Mullen, R.2
  • 6
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • T. J. BRIDGES [1997], Multi-symplectic structures and wave propagation. Math. Proc. Camb. Phil. Soc., 121, 147-190.
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 7
    • 0037832748 scopus 로고    scopus 로고
    • Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
    • T. J. BRIDGES & S. REICH [1999], Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity. Phys. Lett. A, 284, 184-193.
    • (1999) Phys. Lett. A , vol.284 , pp. 184-193
    • Bridges, T.J.1    Reich, S.2
  • 8
    • 0000166196 scopus 로고
    • The structure of the space of solutions of Einstein's equations, I: One Killing field
    • A. E. FISCHER, J. E. MARSDEN & V. MONCRIEF [1980], The structure of the space of solutions of Einstein's equations, I: One Killing field, Ann. Inst. H. Poincaré, 33, 147-194.
    • (1980) Ann. Inst. H. Poincaré , vol.33 , pp. 147-194
    • Fischer, A.E.1    Marsden, J.E.2    Moncrief, V.3
  • 9
    • 45449123467 scopus 로고
    • Lie-Poisson integrators and Lie-Poisson Hamilton-Jacobi theory
    • Z. GE & J. E. MARSDEN [1988], Lie-Poisson integrators and Lie-Poisson Hamilton-Jacobi theory, Phys. Lett. A, 133, 134-139.
    • (1988) Phys. Lett. A , vol.133 , pp. 134-139
    • Ge, Z.1    Marsden, J.E.2
  • 10
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete Hamiltonian systems
    • O. GONZALEZ [1996], Time integration and discrete Hamiltonian systems, J. Nonlinear Sci., 6, 449-468.
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 449-468
    • Gonzalez, O.1
  • 11
    • 0030217555 scopus 로고    scopus 로고
    • On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry
    • O. GONZALEZ & J. C. SIMO [1996], On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry, Computer Methods In Applied Mechanics And Engineering, 134, 197-222.
    • (1996) Computer Methods In Applied Mechanics And Engineering , vol.134 , pp. 197-222
    • Gonzalez, O.1    Simo, J.C.2
  • 13
    • 84963146276 scopus 로고
    • Generalized Verlet algorithm for efficient molecular dynamics simulations with long-range interactions
    • H. GRUBMÜLLER, H. HELLER, A. WINDEMUTH & K. SCHULTEN [1996], Generalized Verlet algorithm for efficient molecular dynamics simulations with long-range interactions, Mol. Sim., 6 (1991), 121-142.
    • (1991) Mol. Sim. , vol.6 , pp. 121-142
    • Grubmüller, H.1    Heller, H.2    Windemuth, A.3    Schulten, K.4
  • 15
    • 0031505057 scopus 로고    scopus 로고
    • The life-span of backward error analysis for numerical integrators
    • E. HAIRER & C. LUBICH [1997], The life-span of backward error analysis for numerical integrators, Numerische Mathematik, 76, 441-462.
    • (1997) Numerische Mathematik , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 16
    • 0017983276 scopus 로고
    • Implicit-explicit finite elements in transient analysis: Stability theory
    • T. J. R. HUGHES & W. K. Liu [1978], Implicit-explicit finite elements in transient analysis: Stability theory, Journal of Applied Mechanics, 78, 371-374.
    • (1978) Journal of Applied Mechanics , vol.78 , pp. 371-374
    • Hughes, T.J.R.1    Liu, W.K.2
  • 20
    • 0033243778 scopus 로고    scopus 로고
    • Symplectic energy-momentum integrators
    • C. KANE, J. E. MARSDEN & M. ORTIZ [1999], Symplectic energy-momentum integrators, J. Math. Phys., 40, 3353-3371.
    • (1999) J. Math. Phys. , vol.40 , pp. 3353-3371
    • Kane, C.1    Marsden, J.E.2    Ortiz, M.3
  • 21
    • 0034516803 scopus 로고    scopus 로고
    • Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
    • C. KANE, J. E. MARSDEN, M. ORTIZ & M. WEST [2000], Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems, Int. J. Num. Math. Eng., 49, 1295-1325.
    • (2000) Int. J. Num. Math. Eng. , vol.49 , pp. 1295-1325
    • Kane, C.1    Marsden, J.E.2    Ortiz, M.3    West, M.4
  • 24
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators and nonlinear PDEs
    • J. E. MARSDEN, G. W. PATRICK & S. SHKOLLER [1998], Multisymplectic geometry, variational integrators and nonlinear PDEs, Comm. Math. Phys. 199, 351-395.
    • (1998) Comm. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.W.2    Shkoller, S.3
  • 25
    • 0000140852 scopus 로고    scopus 로고
    • Variational methods, multisymplectic geometry and continuum mechanics
    • J. E. MARSDEN, S. PEKARSKY, S. SHKOLLER & M. WEST [2001], Variational methods, multisymplectic geometry and continuum mechanics, J. Geometry and Physics, 38, 253-284.
    • (2001) J. Geometry and Physics , vol.38 , pp. 253-284
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3    West, M.4
  • 26
    • 0013039699 scopus 로고    scopus 로고
    • Multisymplectic geometry, covariant Hamiltonians and water waves
    • J. E. MARSDEN & S. SHKOLLER [1999], Multisymplectic geometry, covariant Hamiltonians and water waves, Math. Proc. Camb. Phil Soc. 125, 553-575.
    • (1999) Math. Proc. Camb. Phil Soc. , vol.125 , pp. 553-575
    • Marsden, J.E.1    Shkoller, S.2
  • 27
    • 84959193128 scopus 로고    scopus 로고
    • Discrete variational mechanics and variational integrators
    • J. E. MARSDEN & M. WEST [2001], Discrete variational mechanics and variational integrators, Acta Numerica, 10, 357-514.
    • (2001) Acta Numerica , vol.10 , pp. 357-514
    • Marsden, J.E.1    West, M.2
  • 28
    • 0024874070 scopus 로고
    • Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems
    • M. O. NEAL & T. BELYTSCHKO [1989], Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems, Computers & Structures, 6, 871-880.
    • (1989) Computers & Structures , vol.6 , pp. 871-880
    • Neal, M.O.1    Belytschko, T.2
  • 29
    • 0001444647 scopus 로고    scopus 로고
    • Backward error analysis for numerical integrators
    • S. REICH [1999], Backward error analysis for numerical integrators, SIAM Journal on Numerical Analysis, 36, 1549-1570.
    • (1999) SIAM Journal on Numerical Analysis , vol.36 , pp. 1549-1570
    • Reich, S.1
  • 30
    • 0026939543 scopus 로고
    • Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
    • J. C. SIMO, N. TARNOW & K. K. WONG [1992], Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics, Comp. Meth. Appl. Mech. Eng., 100, 63-116.
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.100 , pp. 63-116
    • Simo, J.C.1    Tarnow, N.2    Wong, K.K.3
  • 31
    • 0032184326 scopus 로고    scopus 로고
    • An implicit multi-time step integration method for structural dynamics problems
    • P. SMOLINSKI & Y.-S. Wu [1998], An implicit multi-time step integration method for structural dynamics problems, Computational Mechanics, 22, 337-343.
    • (1998) Computational Mechanics , vol.22 , pp. 337-343
    • Smolinski, P.1    Wu, Y.-S.2
  • 32
    • 0002565890 scopus 로고
    • The Non-Linear Field Theories of Mechanics
    • Berlin, ed. S. FLUGGE, Springer-Verlag
    • C. TRUESDELL & W. NOLL [1965], The Non-Linear Field Theories of Mechanics, Handbuch der Physik III/3, Berlin, ed. S. FLUGGE, Springer-Verlag.
    • (1965) Handbuch der Physik III/3
    • Truesdell, C.1    Noll, W.2
  • 33
    • 33646650705 scopus 로고
    • Reversible multiple time scale molecular dynamics
    • M. TUCKERMAN, B. J. BERNE & G. J. MARTYNA [1992], Reversible multiple time scale molecular dynamics, J. Chem. Phys., 97, 1990-2001.
    • (1992) J. Chem. Phys. , vol.97 , pp. 1990-2001
    • Tuckerman, M.1    Berne, B.J.2    Martyna, G.J.3


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