-
2
-
-
48749148224
-
RATTLE: A 'velocity ' version of the SHAKE algorithm for molecular dynamics calculations
-
H. C. ANDERSON, 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
-
-
Anderson, H.C.1
-
4
-
-
0004029932
-
-
Springer-Verlag, New York
-
_, Dynamical Systems III, Springer-Verlag, New York, 1988.
-
(1988)
Dynamical Systems III
-
-
-
5
-
-
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
-
6
-
-
0010122134
-
Long-term behavior of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems
-
S. P. AUERBACHAND A. FRIEDMAN, Long-term behavior of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems, J. Comput. Phys., 93 (1991), pp. 189-223.
-
(1991)
J. Comput. Phys.
, vol.93
, pp. 189-223
-
-
Auerbachand, S.P.1
Friedman, A.2
-
8
-
-
0001564321
-
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
-
9
-
-
0003885951
-
-
North-Holland, Amsterdam
-
K. E. BRENAN, S. L. CAMPBELL, AND L. R. PETZOLD, Numerical Solution of Initial-Value Problems in DAEs, North-Holland, Amsterdam, 1989.
-
(1989)
Numerical Solution of Initial-Value Problems in DAEs
-
-
Brenan, K.E.1
Campbell, S.L.2
Petzold, L.R.3
-
10
-
-
0000622670
-
The development of variable-step symplectic integrators, with application to the two-body problem
-
M. P. CALVO AND J. M. SANZ-SERNA, The development of variable-step symplectic integrators, with application to the two-body problem, SIAM J. Sci. Comput., 14 (1993), pp. 936-952.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 936-952
-
-
Calvo, M.P.1
Sanz-Serna, J.M.2
-
11
-
-
0002318219
-
Automatic integration of Euler-Lagrange equations with constraints
-
C. W. GEAR, G. K. GUPTA, AND B. LEIMKUHLER, Automatic integration of Euler-Lagrange equations with constraints, J. Comput. Appl. Math., 12&13 (1985), pp. 77-90.
-
(1985)
J. Comput. Appl. Math.
, vol.12-13
, pp. 77-90
-
-
Gear, C.W.1
Gupta, G.K.2
Leimkuhler, B.3
-
13
-
-
0000566698
-
Backward analysis of numerical integrators and symplectic methods
-
E. HAIRER, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1 (1994), pp. 107-132.
-
(1994)
Ann. Numer. Math.
, vol.1
, pp. 107-132
-
-
Hairer, E.1
-
15
-
-
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
-
17
-
-
84968499113
-
Symplectic integration of constrained Hamiltonian systems
-
B. LEIMKUHLER AND S. REICH, Symplectic integration of constrained Hamiltonian systems, Math. Comp., 63 (1994), pp. 589-605.
-
(1994)
Math. Comp.
, vol.63
, pp. 589-605
-
-
Leimkuhler, B.1
Reich, S.2
-
18
-
-
0000408065
-
Symplectic numerical integrators in constrained Hamiltonian systems
-
B. LEIMUKUHLER 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
-
-
Leimukuhler, B.1
Skeel, R.D.2
-
19
-
-
0000194427
-
On the numerical integration of ordinary differential equations by symmetric composition methods
-
R. I. MCLACHLAN, On the numerical integration of ordinary differential equations by symmetric composition methods, SIAM J. Sci. Comput., 16 (1995), pp. 151-168.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 151-168
-
-
Mclachlan, R.I.1
-
21
-
-
84968505707
-
Explicit canonical methods for Hamiltonian systems
-
D. OKUNBOR AND R. D. SKEEL, Explicit canonical methods for Hamiltonian systems, Math. Comp., 59 (1992), pp. 439-455.
-
(1992)
Math. Comp.
, vol.59
, pp. 439-455
-
-
Okunbor, D.1
Skeel, R.D.2
-
23
-
-
0002339446
-
Motion under a strong constraining force
-
H. RUBIN AND P. UNGAR, Motion under a strong constraining force, Comm. Pure Appl. Math., 10 (1957), pp. 65-87.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 65-87
-
-
Rubin, H.1
Ungar, P.2
-
24
-
-
0020798563
-
A canonical integration technique
-
R. D. RUTH, A canonical integration technique, IEEE Trans. Nuclear Sci., 30 (1983), pp. 2669-2671.
-
(1983)
IEEE Trans. Nuclear Sci.
, vol.30
, pp. 2669-2671
-
-
Ruth, R.D.1
-
25
-
-
84971897259
-
Symplectic integrators for Hamiltonian problems: An overview
-
J. M. SANZ-SERNA, Symplectic integrators for Hamiltonian problems: An overview, Acta Numer., 1 (1992), pp. 243-286.
-
(1992)
Acta Numer.
, vol.1
, pp. 243-286
-
-
Sanz-Serna, J.M.1
-
26
-
-
0006355099
-
Symplectic integration of Hamiltonian systems
-
T. Ratiu, ed., Springer-Verlag, Berlin, New York
-
C. SCOVEL, Symplectic integration of Hamiltonian systems, in The Geometry of Hamiltonian Systems, T. Ratiu, ed., Springer-Verlag, Berlin, New York, 1991.
-
(1991)
The Geometry of Hamiltonian Systems
-
-
Scovel, C.1
-
27
-
-
1542640788
-
Symplectic integration for macromolecular dynamics
-
World Scientific Publishing Co., Singapore
-
R. D. SKEEL, J. J. BIESIADECKI, AND D. OKUNBOR, Symplectic integration for macromolecular dynamics, in Proc. Internat. Conference Computation of Differential Equations and Dynamical Systems, World Scientific Publishing Co., Singapore, 1992.
-
(1992)
Proc. Internat. Conference Computation of Differential Equations and Dynamical Systems
-
-
Skeel, R.D.1
Biesiadecki, J.J.2
Okunbor, D.3
-
28
-
-
36549099461
-
Molecular dynamics with internal coordinate constraints
-
D. J. TOBIAS AND C. L. BROOKS, Molecular dynamics with internal coordinate constraints. J. Chem. Phys., 89 (1988), pp. 5115-5127.
-
(1988)
J. Chem. Phys.
, vol.89
, pp. 5115-5127
-
-
Tobias, D.J.1
Brooks, C.L.2
-
29
-
-
0003429074
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
V. S. VARADARAJAN, Lie Groups, Lie Algebras, and Their Representation, Prentice-Hall, Englewood Cliffs, NJ, 1974.
-
(1974)
Lie Groups, Lie Algebras, and Their Representation
-
-
Varadarajan, V.S.1
-
30
-
-
22944467757
-
Computer 'experiments' on classical fluids
-
L. VERLET, Computer 'experiments' on classical fluids, Phys. Rev., 159 (1967), pp. 98-103.
-
(1967)
Phys. Rev.
, vol.159
, pp. 98-103
-
-
Verlet, L.1
-
31
-
-
0001005075
-
Construction of higher order symplectic integrators
-
H. YOSHIDA, Construction of higher order symplectic integrators, Phys. Lett. A, 150 (1990), pp. 262-268.
-
(1990)
Phys. Lett. A
, vol.150
, pp. 262-268
-
-
Yoshida, H.1
|