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1
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0032476963
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Multisymplectic geometry, variational integrators, and nonlinear PDEs
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J. E. Marsden, G. W. Patrick, and S. Shkoller, "Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs," Commun. Math. Phys. 199, 351-395 (1998).
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Marsden, J.E.1
Patrick, G.W.2
Shkoller, S.3
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2
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45449123467
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Lie-Poisson integrators and Lie-Poisson Hamilton-Jacobi theory
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Z. Ge and J. E. Marsden, "Lie-Poisson integrators and Lie-Poisson Hamilton-Jacobi theory," Phys. Lett. A 133, 134-139 (1988).
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Phys. Lett. A
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Ge, Z.1
Marsden, J.E.2
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3
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0002859047
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Integrable discrete-time systems and difference operators
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A. P. Veselov, "Integrable discrete-time systems and difference operators." Funct. Anal. Appl. 22, 83-94 (1988).
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Funct. Anal. Appl.
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Veselov, A.P.1
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4
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0001189154
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Integrable lagrangian correspondences and the factorization of matrix polynomials
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A. P. Veselov, "Integrable Lagrangian correspondences and the factorization of matrix polynomials," Funct. Anal. Appl. 25, 112-123 (1991).
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Funct. Anal. Appl.
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Veselov, A.P.1
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5
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0000008977
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Discrete versions of some classical integrable systems and factorization of matrix polynomials
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J. Moser and A. P. Veselov, "Discrete versions of some classical integrable systems and factorization of matrix polynomials," Commun. Math. Phys. 139, 217-243 (1991).
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Commun. Math. Phys.
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Moser, J.1
Veselov, A.P.2
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6
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0031210701
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Mechanical integrators derived from a discrete variaional principle
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J. M. Wendlandt and J. E. Marsden, "Mechanical integrators derived from a discrete variaional principle," Physica D 106, 223-246 (1997).
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(1997)
Physica D
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Wendlandt, J.M.1
Marsden, J.E.2
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8
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85033957156
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Fields Institute Communications American Mathematical Society, Providence, RI
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J. E. Marsden, G. W. Patrick, and W. F. Shadwick, Integration Algorithms and Classical Mechanics, Fields Institute Communications, Vol. 10 (American Mathematical Society, Providence, RI, 1996).
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(1996)
Integration Algorithms and Classical Mechanics
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Marsden, J.E.1
Patrick, G.W.2
Shadwick, W.F.3
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10
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34249830447
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The discrete energy momentum method. Conserving algorithms for nonlinear elastodynamics
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J. C. Simo and N. Tarnow, "The discrete energy momentum method. Conserving algorithms for nonlinear elastodynamics," ZAMP 43, 757-792 (1992).
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ZAMP
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Simo, J.C.1
Tarnow, N.2
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11
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Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
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J. C. Simo, N. Tarnow, and K. K. Wong, "Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics," Comput. Methods Appl. Mech. Eng. 100, 63-116 (1992).
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Comput. Methods Appl. Mech. Eng.
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Simo, J.C.1
Tarnow, N.2
Wong, K.K.3
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12
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0003014117
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Time integration and discrete Hamiltonian systems
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O. Gonzalez, "Time integration and discrete Hamiltonian systems," J. Nonlinear Sci. 6, 449-468 (1996).
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J. Nonlinear Sci.
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Gonzalez, O.1
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13
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0009207683
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Time-discretization of Hamiltonian systems
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Y. Shibberu, "Time-discretization of Hamiltonian systems," Comput. Math. Appl. 28, 123-145 (1994).
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Comput. Math. Appl.
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Shibberu, Y.1
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14
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0030213441
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The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations
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H. R. Lewis and P. Kostelec, "The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations," Comput. Phys. Commun. 96, 129-151 (1996).
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Comput. Phys. Commun.
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Lewis, H.R.1
Kostelec, P.2
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15
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Difference equations and conservation laws
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T. D. Lee, "Difference equations and conservation laws," J. Stat. Phys. 46, 843-860 (1937).
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Lee, T.D.1
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16
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0001451136
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A note on energy conservation and stability of nonlinear time-stepping algorithms
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M. Ortiz, "A note on energy conservation and stability of nonlinear time-stepping algorithms," Comput. Struct. 24, 167-168 (1986).
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Comput. Struct.
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Ortiz, M.1
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17
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0027886658
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Assessment of energy-momentum and symplectic schemes for stiff dynamical systems
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New Orleans. December
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J. C. Simo and O. Gonzalez, "Assessment of energy-momentum and symplectic schemes for stiff dynamical systems," in Proceedings ASME Winter Annual Meeting, New Orleans. December 1993.
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(1993)
Proceedings ASME Winter Annual Meeting
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Simo, J.C.1
Gonzalez, O.2
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19
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0026916661
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A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems
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F. Armero and J. C. Simo, "A New Unconditionally Stable Fractional Step Method for Non-Linear Coupled Thermomechanical Problems," Int. J. Numer. Methods Eng. 35, 737-766 (1992).
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Int. J. Numer. Methods Eng.
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Armero, F.1
Simo, J.C.2
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20
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0027187966
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A-priori stability estimates and unconditionally stable product formula algorithms for non-linear coupled thermoplasticity
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F. Armero and J. C. Simo, "A-Priori Stability Estimates and Unconditionally Stable Product Formula Algorithms for Non-Linear Coupled Thermoplasticity," Int. J. Plast. 9, 149-182 (1993).
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Int. J. Plast.
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Armero, F.1
Simo, J.C.2
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21
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0030115145
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Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and navier-stokes equations
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F. Armero and J. C. Simo, "Long-Term Dissipativity of Time-Stepping Algorithms for an Abstract Evolution Equation with Applications to the Incompressible MHD and Navier-Stokes Equations," Comput. Methods Appl. Mech. Eng. 131, 41-90 (1996).
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Comput. Methods Appl. Mech. Eng.
, vol.131
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Armero, F.1
Simo, J.C.2
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22
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85033950250
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The variational formulation of viscoplastic constitutive updates
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to appear
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M. Ortiz and L. Stainier, "The Variational formulation of viscoplastic constitutive updates," Comput. Methods Appl. Mech. Eng. (to appear).
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Comput. Methods Appl. Mech. Eng.
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Ortiz, M.1
Stainier, L.2
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23
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0003643366
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Mechanics and symmetry
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2nd ed. Springer-Verlag, New York
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J. E. Marsden and T. S. Ratiu, Mechanics and Symmetry, Texts in Applied Mathematics, Vol. 17, 2nd ed. (Springer-Verlag, New York, 1999).
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(1999)
Texts in Applied Mathematics
, vol.17
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Marsden, J.E.1
Ratiu, T.S.2
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27
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0000732463
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A limited memory algorithm for bound constrained optimization
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R. H. Byrd, P. Lu, J. Nocedal, and C. Zhu, "A limited memory algorithm for bound constrained optimization," J. Sci. Comput. 16, 1190-1208 (1995).
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J. Sci. Comput.
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Byrd, R.H.1
Lu, P.2
Nocedal, J.3
Zhu, C.4
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28
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0004138939
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Tech. Report, NAM-11, EECS Department, Northwestern University
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C. Zhu, R. H. Byrd, P. Lu, and J. Nocedal, "L-BFGS-B: FORTRAN Subroutines for Large Scale Bound Constrained Optimization," Tech. Report, NAM-11, EECS Department, Northwestern University (1995).
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L-BFGS-B: FORTRAN Subroutines for Large Scale Bound Constrained Optimization
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Zhu, C.1
Byrd, R.H.2
Lu, P.3
Nocedal, J.4
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