-
2
-
-
84968499113
-
Symplectic integration of constrained Hamiltonian systems
-
Leimkuhler B., Reich S. Symplectic integration of constrained Hamiltonian systems. Mathematics of Computation. 63:1994;589-605.
-
(1994)
Mathematics of Computation
, vol.63
, pp. 589-605
-
-
Leimkuhler, B.1
Reich, S.2
-
3
-
-
84966208410
-
Differential-algebraic Systems as differential equations on manifolds
-
Rheinboldt W.C. Differential-algebraic Systems as differential equations on manifolds. Mathematics of Computation. 43:1984;473-482.
-
(1984)
Mathematics of Computation
, vol.43
, pp. 473-482
-
-
Rheinboldt, W.C.1
-
6
-
-
0000408065
-
Symplectic numerical integrators in constrained Hamiltonian systems
-
Leimkuhler B., Skeel R.D. Symplectic numerical integrators in constrained Hamiltonian systems. Journal of Computational Physics. 112:1994;117-125.
-
(1994)
Journal of Computational Physics
, vol.112
, pp. 117-125
-
-
Leimkuhler, B.1
Skeel, R.D.2
-
7
-
-
48749148224
-
RATTLE: A 'velocity' version of the SHAKE algorithm for molecular dynamic calculations
-
Andersen H.C. RATTLE: A 'velocity' version of the SHAKE algorithm for molecular dynamic calculations. Journal of Computational Physics. 52:1983;24-34.
-
(1983)
Journal of Computational Physics
, vol.52
, pp. 24-34
-
-
Andersen, H.C.1
-
8
-
-
0000545837
-
Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
-
Jay L. Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems. SIAM Journal on Numerical Analysis. 33:1996;368-387.
-
(1996)
SIAM Journal on Numerical Analysis
, vol.33
, pp. 368-387
-
-
Jay, L.1
-
10
-
-
0001558971
-
Symplectic integration of constrained Hamiltonian systems by composition methods
-
Reich S. Symplectic integration of constrained Hamiltonian systems by composition methods. SIAM Journal on Numerical Analysis. 33:1996;475-491.
-
(1996)
SIAM Journal on Numerical Analysis
, vol.33
, pp. 475-491
-
-
Reich, S.1
-
11
-
-
0000583007
-
Numerical solution of differential-algebraic equations for constrained mechanical motion
-
Füher C., Leimkuhler B. Numerical solution of differential-algebraic equations for constrained mechanical motion. Numerische Mathematik. 59:1991;55-69.
-
(1991)
Numerische Mathematik
, vol.59
, pp. 55-69
-
-
Füher, C.1
Leimkuhler, B.2
-
12
-
-
0002318219
-
Automatic integration of Euler-Lagrange equations with constraints
-
C.W. Gear, B. Leimkuhler, G.K. Gupta, Automatic integration of Euler-Lagrange equations with constraints, Journal of Computational and Applied Mathematics 12, 13 (1985) 77-90.
-
(1985)
Journal of Computational and Applied Mathematics
, vol.12-13
, pp. 77-90
-
-
Gear, C.W.1
Leimkuhler, B.2
Gupta, G.K.3
-
14
-
-
0039938110
-
Multi-multiplier ambient-space formulations of constrained dynamical systems: The case of linearized incompressible elastodynamics
-
submitted
-
O. Gonzalez, J.H. Maddocks, R.L. Pego, Multi-multiplier ambient-space formulations of constrained dynamical systems: The case of linearized incompressible elastodynamics, Archive for Rational Mechanics and Analysis, submitted.
-
Archive for Rational Mechanics and Analysis
-
-
Gonzalez, O.1
Maddocks, J.H.2
Pego, R.L.3
-
15
-
-
0003014117
-
Time integration and discrete Hamiltonian systems
-
Gonzalez O. Time integration and discrete Hamiltonian systems. Journal of Nonlinear Science. 6:1996;449-467.
-
(1996)
Journal of Nonlinear Science
, vol.6
, pp. 449-467
-
-
Gonzalez, O.1
-
16
-
-
0030217555
-
On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
-
Gonzalez O., Simo J.C. On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry. Computer Methods in Applied Mechanics and Engineering. 134:1996;197-222.
-
(1996)
Computer Methods in Applied Mechanics and Engineering
, vol.134
, pp. 197-222
-
-
Gonzalez, O.1
Simo, J.C.2
-
18
-
-
0034509896
-
Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
-
submitted
-
O. Gonzalez, Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering, submitted.
-
Computer Methods in Applied Mechanics and Engineering
-
-
Gonzalez, O.1
-
21
-
-
45449125258
-
Hamiltonian-conserving discrete canonical equations based on variational difference quotients
-
Itoh T., Abe K. Hamiltonian-conserving discrete canonical equations based on variational difference quotients. Journal of Computational Physics. 77:1988;85-102.
-
(1988)
Journal of Computational Physics
, vol.77
, pp. 85-102
-
-
Itoh, T.1
Abe, K.2
-
22
-
-
38249023178
-
Discrete Lagrange's equations and canonical equations based on the principle of least action
-
Itoh T., Abe K. Discrete Lagrange's equations and canonical equations based on the principle of least action. Applied Mathematics and Computation. 29:1989;161-183.
-
(1989)
Applied Mathematics and Computation
, vol.29
, pp. 161-183
-
-
Itoh, T.1
Abe, K.2
-
23
-
-
34250394120
-
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. Part I
-
LaBudde R.A., Greenspan D. Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. Part I. Numerisch Mathematik. 25:1976;323-346.
-
(1976)
Numerisch Mathematik
, vol.25
, pp. 323-346
-
-
Labudde, R.A.1
Greenspan, D.2
-
24
-
-
2542538605
-
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. Part II
-
LaBudde R.A., Greenspan D. Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. Part II. Numerisch Mathematik. 26:1976;1-16.
-
(1976)
Numerisch Mathematik
, vol.26
, pp. 1-16
-
-
Labudde, R.A.1
Greenspan, D.2
-
25
-
-
0026204126
-
Projected implicit Runge-Kutta methods for differential-algebraic equations
-
Ascher U.M., Petzold L.R. Projected implicit Runge-Kutta methods for differential-algebraic equations. SIAM Journal on Numerical Analysis. 28:1991;1097-1120.
-
(1991)
SIAM Journal on Numerical Analysis
, vol.28
, pp. 1097-1120
-
-
Ascher, U.M.1
Petzold, L.R.2
-
26
-
-
0000721786
-
Maintaining solution invariants in the numerical solution of ODEs
-
Gear C.W. Maintaining solution invariants in the numerical solution of ODEs. SIAM Journal on Scientific and Statistical Computing. 7:1986;734-743.
-
(1986)
SIAM Journal on Scientific and Statistical Computing
, vol.7
, pp. 734-743
-
-
Gear, C.W.1
|