-
1
-
-
48749148224
-
Rattle: A velocity version of the Shake algorithm for molecular dynamics calculations
-
H. C. Andersen, Rattle: A "velocity" version of the Shake algorithm for molecular dynamics calculations, J. Comput. Phys., 52 (1983), pp. 24-34.
-
(1983)
J. Comput. Phys
, vol.52
, pp. 24-34
-
-
Andersen, H.C.1
-
2
-
-
21344492077
-
Stabilization of DAEs and invariant manifolds
-
U. M. Ascher, H. Chin, and S. Reich, Stabilization of DAEs and invariant manifolds, Numer. Math., 67 (1994) pp. 131-149.
-
(1994)
Numer. Math
, vol.67
, pp. 131-149
-
-
Ascher, U.M.1
Chin, H.2
Reich, S.3
-
4
-
-
34249680550
-
Stabilization of constraints and integrals of motion in dynamical systems
-
J. Baumgarte, Stabilization of constraints and integrals of motion in dynamical systems, Comput. Methods Appl. Mech. Engrg., 1 (1972), pp. 11-16.
-
(1972)
Comput. Methods Appl. Mech. Engrg
, vol.1
, pp. 11-16
-
-
Baumgarte, J.1
-
6
-
-
51249166420
-
Numerical integration of ordinary differential equations on manifolds
-
P. E. Crouch and R. Grossman, Numerical integration of ordinary differential equations on manifolds, J. Nonlinear Sci., 3 (1993), pp. 1-33.
-
(1993)
J. Nonlinear Sci
, vol.3
, pp. 1-33
-
-
Crouch, P.E.1
Grossman, R.2
-
7
-
-
22044456314
-
The Cayley transform in the numerical solution of unitary differential systems
-
F. Diele, L. Lopez, and R. Peluso, The Cayley transform in the numerical solution of unitary differential systems, Adv. Comput. Math., 8 (1998), pp. 317-334.
-
(1998)
Adv. Comput. Math
, vol.8
, pp. 317-334
-
-
Diele, F.1
Lopez, L.2
Peluso, R.3
-
10
-
-
0003668846
-
-
Teubner Texte zur Math., Teubner, Stuttgart
-
E. Griepentrog and R. März: Differential-algebraic equations and their numerical treatment, Teubner Texte zur Math., Vol. 88, Teubner, Stuttgart, 1986.
-
(1986)
Differential-algebraic equations and their numerical treatment
, vol.88
-
-
Griepentrog, E.1
März, R.2
-
11
-
-
0003970186
-
-
Unpublished Lecture Notes, March available on
-
E. Hairer, Numerical Geometric Integration, Unpublished Lecture Notes, March 1999, available on http://www. unige. ch/math/folks/hairer/.
-
(1999)
Numerical Geometric Integration
-
-
Hairer, E.1
-
13
-
-
0003466121
-
-
Lecture Notes in Mathematics, Springer-Verlag, Berlin
-
E. Hairer, Ch. Lubich, and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics, Vol. 1409, Springer-Verlag, Berlin, 1989.
-
(1989)
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
, vol.1409
-
-
Hairer, E.1
Lubich, C.2
Roche, M.3
-
15
-
-
0003589989
-
-
2nd ed., Springer Series in Comput. Math., Springer-Verlag, Berlin
-
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, 2nd ed., Springer Series in Comput. Math., Vol. 14, Springer-Verlag, Berlin, 1996.
-
(1996)
Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems
, vol.14
-
-
Hairer, E.1
Wanner, G.2
-
16
-
-
85001667552
-
Lie-group methods
-
A. Iserles, H. Z. Munthe-Kaas, S. P. Nørsett, and A. Zanna, Lie-group methods, Acta Numerica, 9 (2000), pp. 215-365.
-
(2000)
Acta Numerica
, vol.9
, pp. 215-365
-
-
Iserles, A.1
Munthe-Kaas, H.Z.2
Nørsett, S.P.3
Zanna, A.4
-
17
-
-
0000545837
-
Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
-
L. Jay, Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems, SIAM J. Numer. Anal., 33 (1996), pp. 368-387.
-
(1996)
SIAM J. Numer. Anal
, vol.33
, pp. 368-387
-
-
Jay, L.1
-
18
-
-
0000408065
-
Symplectic numerical integrators in constrained Hamiltonian systems
-
B. J. Leimkuhler and R. D. Skeel, Symplectic numerical integrators in constrained Hamiltonian systems, J. Comput. Phys., 112 (1994), pp. 117-125.
-
(1994)
J. Comput. Phys
, vol.112
, pp. 117-125
-
-
Leimkuhler, B.J.1
Skeel, R.D.2
-
19
-
-
0032739660
-
High order Runge-Kutta methods on manifolds
-
H. Munthe-Kaas, High order Runge-Kutta methods on manifolds, Appl. Numer. Math., 29 (1999), pp. 115-127.
-
(1999)
Appl. Numer. Math
, vol.29
, pp. 115-127
-
-
Munthe-Kaas, H.1
-
20
-
-
0042082743
-
On the numerical solution of Euler-Lagrange equations
-
F. A. Potra and W. C. Rheinboldt, On the numerical solution of Euler-Lagrange equations, Mech. Struct. Mech., 19 (1991), pp. 1-18.
-
(1991)
Mech. Struct. Mech
, vol.19
, pp. 1-18
-
-
Potra, F.A.1
Rheinboldt, W.C.2
-
21
-
-
0001558971
-
Symplectic integration of constrained Hamiltonian systems by composition methods
-
S. Reich, Symplectic integration of constrained Hamiltonian systems by composition methods, SIAM J. Numer. Anal., 33 (1996), pp. 475-491.
-
(1996)
SIAM J. Numer. Anal
, vol.33
, pp. 475-491
-
-
Reich, S.1
-
22
-
-
84966208410
-
Differential-algebraic systems as differential equations on manifolds
-
W. C. Rheinboldt, Differential-algebraic systems as differential equations on manifolds, Math. Comp., 43 (1984), pp. 473-482.
-
(1984)
Math. Comp
, vol.43
, pp. 473-482
-
-
Rheinboldt, W.C.1
-
23
-
-
33646940952
-
Numerical integration of the Cartesian equations of motion of a system with constraints: Molecular dynamics of n-alkanes
-
J.-P. Ryckaert, G. Ciccotti, and H. J. C. Berendsen, Numerical integration of the Cartesian equations of motion of a system with constraints: Molecular dynamics of n-alkanes, J. Comput. Phys., 23 (1977), pp. 327-341.
-
(1977)
J. Comput. Phys
, vol.23
, pp. 327-341
-
-
Ryckaert, J.-P.1
Ciccotti, G.2
Berendsen, H.J.C.3
-
24
-
-
0022786742
-
Conservation laws and the numerical solution of ODEs
-
L. F. Shampine, Conservation laws and the numerical solution of ODEs, Comput. Maths. Appls., 12B (1986) pp. 1287-1296.
-
(1986)
Comput. Maths. Appls
, vol.12 B
, pp. 1287-1296
-
-
Shampine, L.F.1
-
25
-
-
84951460152
-
Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems
-
R. A. Wehage and E. J. Haug, Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems, J. Mechanical Design, 104 (1982), pp. 247-255.
-
(1982)
J. Mechanical Design
, vol.104
, pp. 247-255
-
-
Wehage, R.A.1
Haug, E.J.2
-
26
-
-
0042262019
-
-
BIT, 41: 2
-
A. Zanna, K. Engø, and H. Munthe-Kaas, Adjoint and selfadjoint Lie-group methods, BIT, 41: 2 (2001), pp. 395-421.
-
(2001)
Adjoint and selfadjoint Lie-group methods
, pp. 395-421
-
-
Zanna, A.1
Engø, K.2
Munthe-Kaas, H.3
|