-
1
-
-
5844392915
-
Interpolating High Order Runge-Kutta Formulas
-
Bogacki, P. and Shampine, L. F. (1990). Interpolating High Order Runge-Kutta Formulas. Computers Math. Applic., 20, 489-504.
-
(1990)
Computers Math. Applic.
, vol.20
, pp. 489-504
-
-
Bogacki, P.1
Shampine, L.F.2
-
2
-
-
0039179843
-
Coefficients for the study of Runge-Kutta integration processes
-
Butcher, J. C. (1963). Coefficients for the study of Runge-Kutta integration processes. J. Austral. Math. Soc., 3, 185-201.
-
(1963)
J. Austral. Math. Soc.
, vol.3
, pp. 185-201
-
-
Butcher, J.C.1
-
3
-
-
0025208499
-
A fifth order interpolant for the Dormand & Prince Runge-Kutta method
-
Calvo, M., Montijano, J. I. and Randez, L. (1990). A fifth order interpolant for the Dormand & Prince Runge-Kutta method. J. Comput. Appl. Math., 29, 91-100.
-
(1990)
J. Comput. Appl. Math.
, vol.29
, pp. 91-100
-
-
Calvo, M.1
Montijano, J.I.2
Randez, L.3
-
6
-
-
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 TOMS, 13, 1-27.
-
(1987)
ACM TOMS
, vol.13
, pp. 1-27
-
-
Enright, W.H.1
Pryce, J.D.2
-
7
-
-
0022784120
-
Interpolants for Runge-Kutta Formulas
-
Enright, W. H. Jackson, K. R., Norsett, S. P. and Thomsen, P. G. (1986). Interpolants for Runge-Kutta Formulas. ACM TOMS, 12, 193-218.
-
(1986)
ACM TOMS
, vol.12
, pp. 193-218
-
-
Enright, W.H.1
Jackson, K.R.2
Norsett, S.P.3
Thomsen, P.G.4
-
8
-
-
5844400335
-
Initial value routines in the NAG Library
-
Gladwell, I. (1979). Initial value routines in the NAG Library. ACM TOMS, 5, 366-400.
-
(1979)
ACM TOMS
, vol.5
, pp. 366-400
-
-
Gladwell, I.1
-
9
-
-
0043028727
-
Practical aspects of interpolation in Runge-Kutta codes
-
Gladwell, I., Shampine, L. F., Baca, L. S. and Brankin, R. W. (1987). Practical aspects of interpolation in Runge-Kutta codes. SIAM J. Sci. Statist. Comput., 8, 322-341.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, pp. 322-341
-
-
Gladwell, I.1
Shampine, L.F.2
Baca, L.S.3
Brankin, R.W.4
-
10
-
-
0041590181
-
DETEST a program for comparing numerical methods for ordinary differential equations
-
University of Toronto, Canada
-
Hall, G., Enright, W. H., Hull, T. E. and Sedgwick, A. E. (1973). DETEST A program for comparing numerical methods for ordinary differential equations. Dept. of Computer Science Tech. Rep., 60, University of Toronto, Canada.
-
(1973)
Dept. of Computer Science Tech. Rep.
, vol.60
-
-
Hall, G.1
Enright, W.H.2
Hull, T.E.3
Sedgwick, A.E.4
-
11
-
-
0039638076
-
Fourth and fifth-order, scaled Runge-Kutta algorithms for treating dense output
-
Horn, M. K. (1983). Fourth and fifth-order, scaled Runge-Kutta algorithms for treating dense output. SIAM J. Numer. Anal., 20, 558-568.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 558-568
-
-
Horn, M.K.1
-
12
-
-
0015484437
-
Comparing numerical methods of ordinary differential equations
-
Hull, T. E., Enright, W. H., Fellen, B. M. and Sedgwick, A. E. (1972). Comparing numerical methods of ordinary differential equations. SIAM J. Numer. Anal., 9, 603-637.
-
(1972)
SIAM J. Numer. Anal.
, vol.9
, pp. 603-637
-
-
Hull, T.E.1
Enright, W.H.2
Fellen, B.M.3
Sedgwick, A.E.4
-
13
-
-
0342898506
-
-
Techn. Rep. No 240/90, Computer Science Department, University of Toronto, Canada
-
Owren, B. and Zennaro, M. (1990). Derivation of efficient Continuous explicit Runge-Kutta methods. Techn. Rep. No 240/90, Computer Science Department, University of Toronto, Canada.
-
(1990)
Derivation of Efficient Continuous Explicit Runge-Kutta Methods
-
-
Owren, B.1
Zennaro, M.2
-
14
-
-
49149135749
-
High order embedded Runge-Kutta formulae
-
Prince, P. J. and Dormand, J. R. (1981). High order embedded Runge-Kutta formulae. J. Comput. Appl. Math., 7, 67-76.
-
(1981)
J. Comput. Appl. Math.
, vol.7
, pp. 67-76
-
-
Prince, P.J.1
Dormand, J.R.2
-
15
-
-
0022144651
-
Interpolation for Runge-Kutta methods
-
Shampine, L. F. (1985). Interpolation for Runge-Kutta methods. SIAM J. Numer. Anal., 22, 1014-1027.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 1014-1027
-
-
Shampine, L.F.1
-
16
-
-
84966237458
-
Some practical Runge-Kutta formulas
-
Shampine, L. F. (1986). Some practical Runge-Kutta formulas. Math. of Comput., 46, 135-150.
-
(1986)
Math. of Comput.
, vol.46
, pp. 135-150
-
-
Shampine, L.F.1
-
17
-
-
0026216091
-
Numerical Comparisons of some explicit R-K pairs of orders 4 through 8
-
Sharp, P. (1991). Numerical Comparisons of some explicit R-K pairs of orders 4 through 8. ACM TOMS, 17, 387-409.
-
(1991)
ACM TOMS
, vol.17
, pp. 387-409
-
-
Sharp, P.1
-
18
-
-
5844363737
-
-
Doctoral Thesis, Deparatment of Mathematics, National Technical University of Athens, Athens, Greece
-
Tsitouras, Ch. (1990). Continuous extensions of Runge-Kutta type methods for intial value problems. Doctoral Thesis, Deparatment of Mathematics, National Technical University of Athens, Athens, Greece, 155 pages.
-
(1990)
Continuous Extensions of Runge-Kutta Type Methods for Intial Value Problems
, pp. 155
-
-
Tsitouras, Ch.1
-
19
-
-
0000573157
-
Runge-Kutta interpolants based on values form two successive integration steps
-
Tsitouras, Ch. and Papageorgiou, G. (1990). Runge-Kutta interpolants based on values form two successive integration steps. Computing, 43, 255-266.
-
(1990)
Computing
, vol.43
, pp. 255-266
-
-
Tsitouras, Ch.1
Papageorgiou, G.2
-
20
-
-
0000468784
-
Explicit Runge-Kutta methods with estimates of the local truncation error
-
Verner, J. H. (1978). Explicit Runge-Kutta methods with estimates of the local truncation error. SIAM J. Numer. Anal., 15, 772-790.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 772-790
-
-
Verner, J.H.1
-
21
-
-
0027683528
-
Differentiable interpolants for High-order Runge-Kutta methods
-
Verner, J. H. (1993). Differentiable interpolants for High-order Runge-Kutta methods. SIAM J. Numer. Anal., 30, 1446-1466.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1446-1466
-
-
Verner, J.H.1
-
22
-
-
84966233444
-
Natural Continuous extensions of Runge-Kutta methods
-
Zennaro, M. (1986). Natural Continuous extensions of Runge-Kutta methods. Math. Comp., 46, 119-133.
-
(1986)
Math. Comp.
, vol.46
, pp. 119-133
-
-
Zennaro, M.1
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