-
1
-
-
85160606129
-
-
http://www.egglescliffe.org.uk/physics/astronomy/halebopp/halebopp.html
-
-
-
-
3
-
-
0348229165
-
Gauss-Runge-Kutta-Nyström methods
-
C. BURNTON AND R. SCHERER, Gauss-Runge-Kutta-Nyström methods, BIT, 38 (1998), pp. 12-21.
-
(1998)
BIT
, vol.38
, pp. 12-21
-
-
Burnton, C.1
Scherer, R.2
-
4
-
-
0028444762
-
Order results for mono-implicit Runge-Kutta methods
-
K. BURRAGE, F. H. CHIPMAN, AND P. H. MUIR, Order results for mono-implicit Runge-Kutta methods, SIAM J. Numer. Anal., 31 (1994), pp. 876-891.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 876-891
-
-
Burrage, K.1
Chipman, F.H.2
Muir, P.H.3
-
6
-
-
0346444651
-
Symplectic maps for the N-body problem
-
J. WISDOM AND M. HOLMAN, Symplectic maps for the N-body problem, Astron. J., 102 (1991), pp. 1528-1538.
-
(1991)
Astron. J.
, vol.102
, pp. 1528-1538
-
-
Wisdom, J.1
Holman, M.2
-
7
-
-
0001724114
-
Symplectic integrators for long term integrations in celestial mechanics
-
B. GLADMAN, M. DUNCAN, AND J. CANDY, Symplectic integrators for long term integrations in celestial mechanics, Celestial Mech. Dynam. Astronom., 52 (1991), pp. 221-240.
-
(1991)
Celestial Mech. Dynam. Astronom.
, vol.52
, pp. 221-240
-
-
Gladman, B.1
Duncan, M.2
Candy, J.3
-
8
-
-
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
-
10
-
-
11944261676
-
Building a better leapfrog
-
P. HUT, J. MAKINO, AND S. MCMILLAN, Building a better leapfrog, Astrophys. J., 443 (1995), pp. L93-L96.
-
(1995)
Astrophys. J.
, vol.443
-
-
Hut, P.1
Makino, J.2
McMillan, S.3
-
11
-
-
0001127934
-
Numerical integrators that preserve symmetries and reversing symmetries
-
R. I. MCLACHLAN, G. R. W. QUISPEL, AND G. S. TURNER, Numerical integrators that preserve symmetries and reversing symmetries, SIAM J. Numer. Anal., 35 (1998), pp. 586-599.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 586-599
-
-
McLachlan, R.I.1
Quispel, G.R.W.2
Turner, G.S.3
-
12
-
-
0038976122
-
Runge-Kutta schemes for Hamiltonian systems
-
J. M. SANZ-SERNA, Runge-Kutta schemes for Hamiltonian systems, BIT, 28 (1988), pp. 877-883.
-
(1988)
BIT
, vol.28
, pp. 877-883
-
-
Sanz-Serna, J.M.1
-
13
-
-
0001444647
-
Backward error analysis for numerical integrators
-
S. REICH, Backward error analysis for numerical integrators, SIAM J. Numer. Anal., 36 (1999), pp. 1549-1570.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1549-1570
-
-
Reich, S.1
-
14
-
-
85051020030
-
Chaotic motion in Hill's lunar problem
-
From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical Systems, A.E. Roy and B.A. Steves, eds., Plenum Press, New York
-
J. WALDVOGEL AND F. SPIRIG, Chaotic motion in Hill's lunar problem, in From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical Systems, A.E. Roy and B.A. Steves, eds., NATO Adv. Sci. Inst. Ser. B Phys. 336, Plenum Press, New York, 1995.
-
(1995)
NATO Adv. Sci. Inst. Ser. B Phys.
, vol.336
-
-
Waldvogel, J.1
Spirig, F.2
-
15
-
-
0001471202
-
Multiple time step methods in molecular dynamics
-
W. B. STREETT, D. J. TIDESLEY, AND G. SAVILLE, Multiple time step methods in molecular dynamics, Molecular Phys., 35 (1978), pp. 639-648.
-
(1978)
Molecular Phys.
, vol.35
, pp. 639-648
-
-
Streett, W.B.1
Tidesley, D.J.2
Saville, G.3
-
16
-
-
0036116998
-
High order starting iterates for implicit Runge-Kutta methods: An improvement for variable step symplectic integrators
-
M. P. CALVO, High order starting iterates for implicit Runge-Kutta methods: An improvement for variable step symplectic integrators, IMA J. Numer. Anal., (2002), pp. 153-166.
-
(2002)
IMA J. Numer. Anal.
, pp. 153-166
-
-
Calvo, M.P.1
-
17
-
-
0016559243
-
A class of implicit Runge-Kutta methods for the numerical integration of stiff ordinary differential equations
-
J. R. CASH, A class of implicit Runge-Kutta methods for the numerical integration of stiff ordinary differential equations, J. ACM, 22 (1975), pp. 504-511.
-
(1975)
J. ACM
, vol.22
, pp. 504-511
-
-
Cash, J.R.1
-
18
-
-
0003835647
-
-
Springer-Verlag, Berlin
-
E. HAIRER, C. LUBICH, AND G. WANNER, Geometric Numerical Integration, Springer-Verlag, Berlin, 2002.
-
(2002)
Geometric Numerical Integration
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
19
-
-
0000257129
-
On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections, II: The development and analysis of highly stable deferred correction formulae
-
J. R. CASH, On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections, II: The development and analysis of highly stable deferred correction formulae, SIAM J. Numer. Anal., 25 (1988), pp. 862-882.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 862-882
-
-
Cash, J.R.1
-
20
-
-
0000529753
-
A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation
-
J. R. CASH AND M. H. WRIGHT, A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 971-989.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 971-989
-
-
Cash, J.R.1
Wright, M.H.2
-
23
-
-
0020304319
-
High order methods for the numerical solution of two-point boundary value problems
-
J. R. CASH AND A. SINGHAL, High order methods for the numerical solution of two-point boundary value problems, BIT, (1982), pp. 184-199.
-
(1982)
BIT
, pp. 184-199
-
-
Cash, J.R.1
Singhal, A.2
-
24
-
-
77957218990
-
Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential equations
-
J. R. CASH AND A. SINGHAL, Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential equations, IMA J. Numer. Anal., (1982), pp. 221-228.
-
(1982)
IMA J. Numer. Anal.
, pp. 221-228
-
-
Cash, J.R.1
Singhal, A.2
-
25
-
-
0008754013
-
High order P-stable formulae for the numerical integration of periodic initial value problems
-
J. R. CASH, High order P-stable formulae for the numerical integration of periodic initial value problems, Numer. Math., (1981), pp. 355-370.
-
(1981)
Numer. Math.
, pp. 355-370
-
-
Cash, J.R.1
-
26
-
-
0029229318
-
Variable steps for reversible integration methods
-
D. STOFFER, Variable steps for reversible integration methods, Computing, 55 (1995), pp. 1-22.
-
(1995)
Computing
, vol.55
, pp. 1-22
-
-
Stoffer, D.1
-
27
-
-
0030621833
-
Reversible long-term integration with variable stepsizes
-
E. HAIRER AND D. STOFFER, Reversible long-term integration with variable stepsizes, SIAM J. Sci. Comput., 18 (1997), pp. 257-269.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 257-269
-
-
Hairer, E.1
Stoffer, D.2
-
28
-
-
0034770146
-
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems
-
M. VAN DAELE AND J. R. CASH, Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems, SIAM J. Sci. Comput., 22 (2000), pp. 1697-1716.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1697-1716
-
-
Van Daele, M.1
Cash, J.R.2
|