-
1
-
-
0042619712
-
Simplifying assumptions for the order of partitioned multivalue methods
-
K. Burrage and P. M. Moss, Simplifying assumptions for the order of partitioned multivalue methods, BIT 20 (1980) 452-465.
-
(1980)
BIT
, vol.20
, pp. 452-465
-
-
Burrage, K.1
Moss, P.M.2
-
2
-
-
0040958612
-
Order and stability of explicit multivalue methods
-
K. Burrage, Order and stability of explicit multivalue methods, Appl. Numer. Math. 1 (1985) 363-379.
-
(1985)
Appl. Numer. Math.
, vol.1
, pp. 363-379
-
-
Burrage, K.1
-
3
-
-
0002140497
-
Order properties of multivalue methods
-
K. Burrage, Order properties of multivalue methods, IMA J. Numer. Anal. 8 (1988) 43-69.
-
(1988)
IMA J. Numer. Anal.
, vol.8
, pp. 43-69
-
-
Burrage, K.1
-
4
-
-
0027191698
-
The search for the holy grail, or: Predictor-corrector methods for solving ODEIVPs
-
K. Burrage, The search for the holy grail, or: predictor-corrector methods for solving ODEIVPs, Appl. Numer. Math. 11 (1993) 125-141.
-
(1993)
Appl. Numer. Math.
, vol.11
, pp. 125-141
-
-
Burrage, K.1
-
6
-
-
84968505795
-
On the convergence of numerical solutions to ordinary differential equations
-
J. C. Butcher, On the convergence of numerical solutions to ordinary differential equations, Math. Comp. 20 (1966) 1-10.
-
(1966)
Math. Comp.
, vol.20
, pp. 1-10
-
-
Butcher, J.C.1
-
7
-
-
84968503738
-
The order of numerical methods for ordinary differential equations
-
J. C. Butcher, The order of numerical methods for ordinary differential equations, Math. Comp. 27 (1973) 793-806.
-
(1973)
Math. Comp.
, vol.27
, pp. 793-806
-
-
Butcher, J.C.1
-
9
-
-
0028427227
-
Parallel iteration of symmetric Runge-Kutta methods for non stiff initial value problems
-
Nguyen huu Cong, Parallel iteration of symmetric Runge-Kutta methods for non stiff initial value problems, J. Comput. Appl. Math. 51 (1994) 117-125.
-
(1994)
J. Comput. Appl. Math.
, vol.51
, pp. 117-125
-
-
Cong, N.H.1
-
10
-
-
0030214508
-
Explicit parallel two-step Runge-Kutta-Nyström methods
-
to appear
-
Nguyen huu Cong, Explicit parallel two-step Runge-Kutta-Nyström methods, Comput. Math. Appl., to appear.
-
Comput. Math. Appl.
-
-
Cong, N.H.1
-
11
-
-
0007138781
-
The order of convergence of general linear methods for ordinary differential equations
-
G. J. Cooper, The order of convergence of general linear methods for ordinary differential equations, SIAM J. Numer. Anal. 15 (1978) 643-661.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 643-661
-
-
Cooper, G.J.1
-
12
-
-
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) 1-27.
-
(1987)
ACM Trans. Math. Software
, vol.13
, pp. 1-27
-
-
Enright, W.H.1
Pryce, J.D.2
-
13
-
-
0038925285
-
La résolution numérique des problèmes différentiels aux conditions initiales par des méthodes de collocation
-
A. Guillou and J. L. Soulé, La résolution numérique des problèmes différentiels aux conditions initiales par des méthodes de collocation, R.I.R.O. R-3 (1969) 17-44.
-
(1969)
R.I.R.O.
, vol.R-3
, pp. 17-44
-
-
Guillou, A.1
Soulé, J.L.2
-
14
-
-
0015960381
-
On the Butcher group and general multivalue methods
-
E. Hairer and G. Wanner, On the Butcher group and general multivalue methods, Computing 13 (1974) 1-15.
-
(1974)
Computing
, vol.13
, pp. 1-15
-
-
Hairer, E.1
Wanner, G.2
-
17
-
-
0040872682
-
-
Report NM-R8817, CWI, Amsterdam, The Netherlands
-
P. J. van der Houwen and B. P. Sommeijer, Variable step integration of high order Runge-Kutta methods on parallel computers, Report NM-R8817, CWI, Amsterdam, The Netherlands (1988).
-
(1988)
Variable Step Integration of High Order Runge-Kutta Methods on Parallel Computers
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
18
-
-
0025235567
-
Parallel iteration of high-order Runge-Kutta methods with stepsize control
-
P. J. van der Houwen and B. P. Sommeijer, Parallel iteration of high-order Runge-Kutta methods with stepsize control, J. Comput. Appl. Math. 29 (1990) 111-127.
-
(1990)
J. Comput. Appl. Math.
, vol.29
, pp. 111-127
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
19
-
-
0027664747
-
Parallel block predictor-corrector methods of Runge-Kutta type
-
P. J. van der Houwen and Nguyen huu Cong, Parallel block predictor-corrector methods of Runge-Kutta type, Appl. Numer. Math. 13 (1993) 109-123.
-
(1993)
Appl. Numer. Math.
, vol.13
, pp. 109-123
-
-
Van Der Houwen, P.J.1
Cong, N.H.2
-
20
-
-
0015484437
-
Comparing numerical methods for ordinary differential equations
-
T. E. Hull, W. E. Enright, B. M. Fellen and A. E. Sedgwick, Comparing numerical methods for ordinary differential equations, SIAM J. Numer. Anal. 9 (1972) 603-637.
-
(1972)
SIAM J. Numer. Anal.
, vol.9
, pp. 603-637
-
-
Hull, T.E.1
Enright, W.E.2
Fellen, B.M.3
Sedgwick, A.E.4
-
21
-
-
0003545319
-
On the theory of parallel Runge-Kutta methods
-
A. Iserles and S. P. Nørsett, On the theory of parallel Runge-Kutta methods, IMA J. Numer. Anal. 10 (1990) 463-488.
-
(1990)
IMA J. Numer. Anal.
, vol.10
, pp. 463-488
-
-
Iserles, A.1
Nørsett, S.P.2
-
22
-
-
0043120502
-
A general class of two-step Runge-Kutta methods for ordinary differential equations
-
Z. Jackiewicz and S. Tracogna, A general class of two-step Runge-Kutta methods for ordinary differential equations, SIAM J. Numer. Anal. 1 (1988) 1-38.
-
(1988)
SIAM J. Numer. Anal.
, vol.1
, pp. 1-38
-
-
Jackiewicz, Z.1
Tracogna, S.2
-
23
-
-
0001968970
-
The potential for parallelism in Runge-Kutta methods. Part I: RK formula in standard forms
-
K. R. Jackson and S. P. Nørsett, The potential for parallelism in Runge-Kutta methods. Part I: RK formula in standard forms, SIAM J. Numer. Anal. 32 (1995) 49-82.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 49-82
-
-
Jackson, K.R.1
Nørsett, S.P.2
-
24
-
-
0042118581
-
-
Gos. Izd. Fiz.-Mat. Lit., Moscow
-
V. I. Krylov, Priblizhennoe Vyschisslenie Integralov (Gos. Izd. Fiz.-Mat. Lit., Moscow, 1959). English translation: Approximate Calculation of Integrals (Macmillan, New York, 1962).
-
(1959)
Priblizhennoe Vyschisslenie Integralov
-
-
Krylov, V.I.1
-
25
-
-
0004213385
-
-
Macmillan, New York
-
V. I. Krylov, Priblizhennoe Vyschisslenie Integralov (Gos. Izd. Fiz.-Mat. Lit., Moscow, 1959). English translation: Approximate Calculation of Integrals (Macmillan, New York, 1962).
-
(1962)
Approximate Calculation of Integrals
-
-
-
26
-
-
0039357237
-
-
Report No. 3/87, University of Trondheim, Division Numerical Mathematics, Norway
-
I. Lie, Some aspects of parallel Runge-Kutta methods, Report No. 3/87, University of Trondheim, Division Numerical Mathematics, Norway (1987).
-
(1987)
Some Aspects of Parallel Runge-Kutta Methods
-
-
Lie, I.1
-
27
-
-
84860712871
-
Superconvergence for multistep collocation
-
I. Lie and S. P. Nørsett, Superconvergence for multistep collocation, Math. Comp. 52 (1989) 65-79.
-
(1989)
Math. Comp.
, vol.52
, pp. 65-79
-
-
Lie, I.1
Nørsett, S.P.2
-
28
-
-
0039949619
-
Aspects of parallel Runge-Kutta methods
-
ed. A. Bellen, Lecture Notes in Mathematics Springer, Berlin
-
S. P. Nørsett and H. H. Simonsen, Aspects of parallel Runge-Kutta methods, in: Workshop on Numerical Methods for Ordinary Differential Equations, L'Aquila, ed. A. Bellen, Lecture Notes in Mathematics 1386 (Springer, Berlin, 1989) 103-117.
-
(1989)
Workshop on Numerical Methods for Ordinary Differential Equations, L'Aquila
, vol.1386
, pp. 103-117
-
-
Nørsett, S.P.1
Simonsen, H.H.2
-
29
-
-
0042619713
-
Numerical experiments with a multistep Radau method
-
S. Schneider, Numerical experiments with a multistep Radau method, BIT 33 (1993) 332-350.
-
(1993)
BIT
, vol.33
, pp. 332-350
-
-
Schneider, S.1
|