-
2
-
-
0039179839
-
High order explicit Runge-Kutta formulae, their uses and their limitations
-
A. R. CURTIS, High order explicit Runge-Kutta formulae, their uses and their limitations, J. Inst. Math. Appl., 16 (1975), pp. 35-55.
-
(1975)
J. Inst. Math. Appl.
, vol.16
, pp. 35-55
-
-
Curtis, A.R.1
-
3
-
-
0000023855
-
Families of Runge-Kutta-Nystrom formulae
-
J. R. DORMAND, M. E. EL-MIKKAWY, AND P. J. PRINCE, Families of Runge-Kutta-Nystrom formulae, IMA J. Numer. Anal., 7 (1987), pp. 235-250.
-
(1987)
IMA J. Numer. Anal.
, vol.7
, pp. 235-250
-
-
Dormand, J.R.1
El-Mikkawy, M.E.2
Prince, P.J.3
-
4
-
-
77957212547
-
High order embedded Runge-Kutta-Nystrom formulae
-
J. R. DORMAND, M. E. EL-MIKKAWY, AND P. J. PRINCE, High order embedded Runge-Kutta-Nystrom formulae, IMA J. Numer. Anal., 7 (1987), pp. 423-430.
-
(1987)
IMA J. Numer. Anal.
, vol.7
, pp. 423-430
-
-
Dormand, J.R.1
El-Mikkawy, M.E.2
Prince, P.J.3
-
5
-
-
0023312263
-
Two FORTRAN packages for assessing initial value methods
-
W. H. ENRIGHT AND J. D. PRYCE, Two FORTRAN packages for assessing initial value methods, ACM Trans. Math. Software, 13 (1987), pp. 1-27.
-
(1987)
ACM Trans. Math. Software
, vol.13
, pp. 1-27
-
-
Enright, W.H.1
Pryce, J.D.2
-
6
-
-
0007132561
-
-
Tech. report TR R-287, NASA, George C. Marshall Space Flight Center, Huntsville, AL
-
E. FEHLBERG, Classical Fifth, Sixth, Seventh, and Eighth Order Runge-Kutta Formulas with Stepsize Control, Tech. report TR R-287, NASA, George C. Marshall Space Flight Center, Huntsville, AL, 1968.
-
(1968)
Classical Fifth, Sixth, Seventh, and Eighth Order Runge-Kutta Formulas with Stepsize Control
-
-
Fehlberg, E.1
-
7
-
-
0003589989
-
-
Springer-Verlag, Berlin
-
E. HAIRER, S. P. NÖRSETT, AND G. WANNER, Solving Ordinary Differential Equations I, 2nd ed., Springer-Verlag, Berlin, 1993.
-
(1993)
Solving Ordinary Differential Equations I, 2nd Ed.
-
-
Hairer, E.1
Nörsett, S.P.2
Wanner, G.3
-
8
-
-
0023366337
-
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
-
P. J. VAN DER HOUWEN AND B. P. SOMMEIJER, Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal., 24 (1987), pp. 595-617.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 595-617
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
9
-
-
0003578016
-
-
The University Series in Mathematics, Plenum Press, New York
-
J. ORTEGA, Matrix Theory, a Second Course, The University Series in Mathematics, Plenum Press, New York, 1987.
-
(1987)
Matrix Theory, a Second Course
-
-
Ortega, J.1
-
10
-
-
0001312539
-
Runge-Kutta pairs for periodic initial value problems
-
G. PAPAGEORGIOU, CH. TSITOURAS, AND S. N. PAPAKOSTAS, Runge-Kutta pairs for periodic initial value problems, Computing, 51 (1993), pp. 151-163.
-
(1993)
Computing
, vol.51
, pp. 151-163
-
-
Papageorgiou, G.1
Tsitouras, Ch.2
Papakostas, S.N.3
-
11
-
-
0041699187
-
-
Tech. report NA 93-1, Dept. Math., Nat. Tech. Univ. Athens
-
G. PAPAGEORGIOU, CH. TSITOURAS, AND S. N. PAPAKOSTAS, Runge-Kutta Pairs for Periodic Initial Value Problems, Tech. report NA 93-1, Dept. Math., Nat. Tech. Univ. Athens, 1993.
-
(1993)
Runge-Kutta pairs for periodic initial value problems
-
-
Papageorgiou, G.1
Tsitouras, Ch.2
Papakostas, S.N.3
-
13
-
-
0030371246
-
A family of fifth order Runge-Kutta, pairs
-
S. N. PAPAKOSTAS AND G. PAPAGEORGIOU, A family of fifth order Runge-Kutta, pairs, Math. Comp., 65 (1996), pp. 1165-1181.
-
(1996)
Math. Comp.
, vol.65
, pp. 1165-1181
-
-
Papakostas, S.N.1
Papageorgiou, G.2
-
14
-
-
0001394474
-
A general family of explicit Runge-Kutta pairs of orders 6(5)
-
S. N. PAPAKOSTAS, CH. TSITOURAS, AND G. PAPAGEORGIOU, A general family of explicit Runge-Kutta pairs of orders 6(5), SIAM J. Numer. Anal., 33 (1996), pp. 917-936.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 917-936
-
-
Papakostas, S.N.1
Tsitouras, Ch.2
Papageorgiou, G.3
-
15
-
-
49149135749
-
High order embedded Runge-Kutta formulae
-
P. J. PRINCE AND J. R. DORMAND, High order embedded Runge-Kutta formulae, J. Comput. Appl. Math., 7 (1981), pp. 67-75.
-
(1981)
J. Comput. Appl. Math.
, vol.7
, pp. 67-75
-
-
Prince, P.J.1
Dormand, J.R.2
-
16
-
-
84966237458
-
Some practical Runge-Kutta formulas
-
L. F. SHAMPINE, Some practical Runge-Kutta formulas, Math. Comp., 46 (1986), pp. 135-150.
-
(1986)
Math. Comp.
, vol.46
, pp. 135-150
-
-
Shampine, L.F.1
-
17
-
-
0026216091
-
Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8
-
P. SHARP, Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8, ACM Trans. Math. Software, 17 (1991), pp. 387-409.
-
(1991)
ACM Trans. Math. Software
, vol.17
, pp. 387-409
-
-
Sharp, P.1
-
18
-
-
0000468784
-
Explicit Runge-Kutta methods with estimates of the local truncation error
-
J. H. VERNER, Explicit Runge-Kutta methods with estimates of the local truncation error, SIAM J. Numer. Anal., 15 (1978), pp. 772-790.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 772-790
-
-
Verner, J.H.1
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