-
1
-
-
0024620804
-
Algorithm 670: A Runge-Kutta-Nystrom code
-
BRANKIN, R., DORMAND, J., GLADWELL, I., PRINCE, P., AND SEWARD, W. 1989. Algorithm 670: A Runge-Kutta-Nystrom code. ACM Trans. Math. Softw. 15, 31-40.
-
(1989)
ACM Trans. Math. Softw.
, vol.15
, pp. 31-40
-
-
Brankin, R.1
Dormand, J.2
Gladwell, I.3
Prince, P.4
Seward, W.5
-
2
-
-
0031221067
-
Algorithm 771: Rksuite_90: Software for ordinary differential equation initial value problems
-
BRANKIN, R. AND GLADWELL, I. 1997. Algorithm 771: rksuite_90: software for ordinary differential equation initial value problems. ACM Trans. Math. Softw. 23, 402-415.
-
(1997)
ACM Trans. Math. Softw.
, vol.23
, pp. 402-415
-
-
Brankin, R.1
Gladwell, I.2
-
3
-
-
0038971069
-
On the accumulation of errors in numerical integration
-
BROUWER, D. 1937. On the accumulation of errors in numerical integration. Astron. J. 30, 149-153.
-
(1937)
Astron. J.
, vol.30
, pp. 149-153
-
-
Brouwer, D.1
-
4
-
-
0000622670
-
The development of variable-step symplectic integrators with application to the two-body problem
-
CALVO, M. AND SANZ-SERNA, J. 1993a. The development of variable-step symplectic integrators with application to the two-body problem. SIAM J. Sci. Comput. 14, 936-952.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 936-952
-
-
Calvo, M.1
Sanz-Serna, J.2
-
5
-
-
0003127541
-
High-order symplectic Runge-Kutta-Nyström methods
-
CALVO, M. AND SANZ-SERNA, J. 1993b. High-Order symplectic Runge-Kutta-Nyström methods. SIAM J. Sci. Comput. 14, 1237-1252.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 1237-1252
-
-
Calvo, M.1
Sanz-Serna, J.2
-
6
-
-
0002586723
-
Asymptotic error analysis of the adaptive Verlet method
-
CIRILLI, S., HAIRER, E., AND LEIMKUHLER, B. 1999. Asymptotic error analysis of the adaptive Verlet method. BIT 39, 25-33.
-
(1999)
BIT
, vol.39
, pp. 25-33
-
-
Cirilli, S.1
Hairer, E.2
Leimkuhler, B.3
-
7
-
-
0000023855
-
Families of Runge-Kutta-Nyström formulae
-
DORMAND, J., EL-MIKKAWY, M., AND PRINCE, P. 1987a. Families of Runge-Kutta-Nyström formulae. IMA J. Numer. Anal. 7, 235-250.
-
(1987)
IMA J. Numer. Anal.
, vol.7
, pp. 235-250
-
-
Dormand, J.1
El-Mikkawy, M.2
Prince, P.3
-
8
-
-
77957212547
-
High-order embedded Runge-Kutta-Nyström formulae
-
DORMAND, J., EL-MIKKAWY, M., AND PRINCE, P. 1987b. High-Order embedded Runge-Kutta-Nyström formulae. IMA J. Numer. Anal. 7, 423-430.
-
(1987)
IMA J. Numer. Anal.
, vol.7
, pp. 423-430
-
-
Dormand, J.1
El-Mikkawy, M.2
Prince, P.3
-
9
-
-
0000353245
-
The long-term evolution of orbits in the Solar System - A mapping approach
-
DUNCAN, M., QUINN, T., AND TREMAINE, S. 1989. The long-term evolution of orbits in the Solar System - A mapping approach. Icarus 82, 402-419.
-
(1989)
Icarus
, vol.82
, pp. 402-419
-
-
Duncan, M.1
Quinn, T.2
Tremaine, S.3
-
11
-
-
0023312263
-
Two fortran packages for assessing initial value methods
-
ENRIGHT, W. H. AND PRYCE, J. D. 1987. Two Fortran packages for assessing initial value methods. ACM Trans. Math. Softw. 13, 1-27.
-
(1987)
ACM Trans. Math. Softw.
, vol.13
, pp. 1-27
-
-
Enright, W.H.1
Pryce, J.D.2
-
12
-
-
84859274656
-
On the efficiency of Nyström methods
-
Division of Engineering and Weapons, US Naval Academy, Annapolis, MD
-
FINE, J. M. 1986. On the efficiency of Nyström methods. Tech. Rep. EW-27-86, Division of Engineering and Weapons, US Naval Academy, Annapolis, MD.
-
(1986)
Tech. Rep.
, vol.EW-27-86
-
-
Fine, J.M.1
-
13
-
-
0001267155
-
Dynamical evolution of planetesimals in the outer Solar System: I. The Jupiter/Saturn zone
-
GRAZIER, K., NEWMAN, W. I., KAULA, W. M., AND HYMAN, J. M. 1999a. Dynamical evolution of planetesimals in the outer Solar System: I. The Jupiter/Saturn zone. Icarus 140, 341-352.
-
(1999)
Icarus
, vol.140
, pp. 341-352
-
-
Grazier, K.1
Newman, W.I.2
Kaula, W.M.3
Hyman, J.M.4
-
14
-
-
0001476780
-
Dynamical evolution of planetesimals in the outer Solar System: II. The Saturn/Uranus and Uranus/Neptune zones
-
GRAZIER, K., NEWMAN, W. I., KAULA, W. M., AND HYMAN, J. M. 1999b. Dynamical evolution of planetesimals in the outer Solar System: II. The Saturn/Uranus and Uranus/Neptune zones. Icarus 140, 353-368.
-
(1999)
Icarus
, vol.140
, pp. 353-368
-
-
Grazier, K.1
Newman, W.I.2
Kaula, W.M.3
Hyman, J.M.4
-
16
-
-
0004317158
-
-
Springer Verlag, Berlin
-
HAIRIER, E., NØRSETT, S. P., AND WANNER, G. 1987. Solving Ordinary Differential Equations I: Nonstiff Problems, 1st ed. Springer Verlag, Berlin.
-
(1987)
Solving Ordinary Differential Equations I: Nonstiff Problems, 1st Ed.
-
-
Hairier, E.1
Nørsett, S.P.2
Wanner, G.3
-
17
-
-
0035546021
-
Explicit variable step-size and time-reversible integration
-
HOLDER, T., LEIMKUHLER, B., AND REICH, S. 2001. Explicit variable step-size and time-reversible integration. Appl. Numer. Math. 39, 367-377.
-
(2001)
Appl. Numer. Math.
, vol.39
, pp. 367-377
-
-
Holder, T.1
Leimkuhler, B.2
Reich, S.3
-
18
-
-
0030617688
-
A possible long-lived belt of objects between Uranus and Neptune
-
HOLMAN, M. J. 1997. A possible long-lived belt of objects between Uranus and Neptune. Nature 387, 785-788.
-
(1997)
Nature
, vol.387
, pp. 785-788
-
-
Holman, M.J.1
-
19
-
-
0041312399
-
Long-term integrations and stability of planetary orbits in our Solar System
-
ITO, T. AND TANIKAWA, K. 2003. Long-Term integrations and stability of planetary orbits in our Solar System. Mon. Not. Roy. Astron. Soc. 336, 483-500.
-
(2003)
Mon. Not. Roy. Astron. Soc.
, vol.336
, pp. 483-500
-
-
Ito, T.1
Tanikawa, K.2
-
20
-
-
0002036826
-
Changing stepsize in the integration of differential equations using modified divided differences
-
D. G. Bettis, Ed. Lecture Notes in Mathematics. Springer Verlag, Berlin
-
KROGH, F. 1974. Changing stepsize in the integration of differential equations using modified divided differences. In Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations, D. G. Bettis, Ed. Lecture Notes in Mathematics, vol. 362. Springer Verlag, Berlin, 22-71.
-
(1974)
Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations
, vol.362
, pp. 22-71
-
-
Krogh, F.1
-
22
-
-
84879375804
-
14.1 variable order adams method for ordinary differential equations (diva)
-
Math á la Carte, Inc., Tujunga, CA. Oct.
-
KROGH, F. T. 1975. 14.1 variable order adams method for ordinary differential equations (diva). Tech. Rep., Math á la Carte, Inc., Tujunga, CA. Oct. http://mathalacarte.com/cb/mom.fcg/ya64.
-
(1975)
Tech. Rep.
-
-
Krogh, F.T.1
-
23
-
-
33749368098
-
Explicit Runge-Kutta method for ordinary differential equations (dxrk8)
-
Math à la Carte, Inc., Tujunga, CA. Feb.
-
KROGH, F. T. 1997b. Explicit Runge-Kutta method for ordinary differential equations (dxrk8). Tech. Rep., Math à la Carte, Inc., Tujunga, CA. Feb. http://mathalacarte.com/cb/mom.fcg/ya65.
-
(1997)
Tech. Rep.
-
-
Krogh, F.T.1
-
24
-
-
0012058630
-
Note on quasi double-precision
-
MØLLER, O. 1965a. Note on quasi double-precision. BIT 5, 251-255.
-
(1965)
BIT
, vol.5
, pp. 251-255
-
-
Møller, O.1
-
25
-
-
0002811620
-
Quasi double-precision in floating-point addition
-
MØLLER, O. 1965b. Quasi double-precision in floating-point addition. BIT 5, 37-50.
-
(1965)
BIT
, vol.5
, pp. 37-50
-
-
Møller, O.1
-
26
-
-
0001077473
-
DE 102: A numerically integrated ephemeris of the moon and planets spanning forty-four centuries
-
NEWHALL, X. X., STANDISH, E., AND WILLIAMS, J. 1983. DE 102: A numerically integrated ephemeris of the moon and planets spanning forty-four centuries. Astron. Astrophys. 125, 150-167.
-
(1983)
Astron. Astrophys.
, vol.125
, pp. 150-167
-
-
Newhall, X.X.1
Standish, E.2
Williams, J.3
-
27
-
-
49149135749
-
High-order embedded Runge-Kutta formulae
-
PRINCE, P. AND DORMAND, J. 1981. High-Order embedded Runge-Kutta formulae. J. Comput. Appl. Math. 7, 67-75.
-
(1981)
J. Comput. Appl. Math.
, vol.7
, pp. 67-75
-
-
Prince, P.1
Dormand, J.2
-
28
-
-
0000871980
-
A three million year integration of the Earth's orbit
-
QUINN, T. R., TREMAINE, S., AND DUNCAN, M. 1991. A three million year integration of the Earth's orbit. Astron. J. 101, 2287-2305.
-
(1991)
Astron. J.
, vol.101
, pp. 2287-2305
-
-
Quinn, T.R.1
Tremaine, S.2
Duncan, M.3
-
30
-
-
84859277073
-
-
NBI
-
VARADI, F. 1996. NBI. Available at http://astrobiology.ucla.edu/~varadi/ NBI/NBI.html.
-
(1996)
-
-
Varadi, F.1
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