-
1
-
-
0042185152
-
Adams type methods for the numerical solution of stochastic differential equations
-
L. BRUGNANO, K. BURRAGE, AND P. BURRAGE, Adams type methods for the numerical solution of stochastic differential equations, BIT, 40 (2000), pp. 451-470.
-
(2000)
BIT
, vol.40
, pp. 451-470
-
-
Brugnano, L.1
Burrage, K.2
Burrage, P.3
-
2
-
-
0008455718
-
The error behaviour of a general class of predictor-corrector methods
-
K. BURRAGE, The error behaviour of a general class of predictor-corrector methods, Appl. Numer. Math., 8 (1991), pp. 201-216.
-
(1991)
Appl. Numer. Math.
, vol.8
, pp. 201-216
-
-
Burrage, K.1
-
3
-
-
38249003868
-
Efficient block predictor-corrector methods with a small number of corrections
-
K. BURRAGE, Efficient block predictor-corrector methods with a small number of corrections, J. Comput. Appl. Math., 45 (1993), pp. 139-150.
-
(1993)
J. Comput. Appl. Math.
, vol.45
, pp. 139-150
-
-
Burrage, K.1
-
4
-
-
0027297517
-
Parallel methods for initial value problems
-
K. BURRAGE, Parallel methods for initial value problems, Appl. Numer. Math., 11 (1993), pp. 5-25.
-
(1993)
Appl. Numer. Math.
, vol.11
, pp. 5-25
-
-
Burrage, K.1
-
5
-
-
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), pp. 125-141.
-
(1993)
Appl. Numer. Math.
, vol.11
, pp. 125-141
-
-
Burrage, K.1
-
7
-
-
0030286423
-
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
-
K. BURRAGE AND P. M. BURRAGE, High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations, Appl. Numer. Math., 22 (1996), pp. 81-101.
-
(1996)
Appl. Numer. Math.
, vol.22
, pp. 81-101
-
-
Burrage, K.1
Burrage, P.M.2
-
8
-
-
0034547253
-
Order conditions of stochastic Runge-Kutta methods by B-series
-
K. BURRAGE AND P. M. BURRAGE, Order conditions of stochastic Runge-Kutta methods by B-series, SIAM J. Numer. Anal., 38 (2000), pp. 1626-1646.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1626-1646
-
-
Burrage, K.1
Burrage, P.M.2
-
9
-
-
0000800391
-
A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations
-
K. BURRAGE, P. M. BURRAGE, AND J. A. BELWARD, A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations, BIT, 37 (1997), pp. 771-780.
-
(1997)
BIT
, vol.37
, pp. 771-780
-
-
Burrage, K.1
Burrage, P.M.2
Belward, J.A.3
-
10
-
-
0034159395
-
Parallel half-block methods for initial value problems
-
K. BURRAGE AND T. H. TIAN, Parallel half-block methods for initial value problems, Appl. Numer. Math., 32 (2000), pp. 255-271.
-
(2000)
Appl. Numer. Math.
, vol.32
, pp. 255-271
-
-
Burrage, K.1
Tian, T.H.2
-
11
-
-
0004867067
-
A note on the stability properties of the Euler methods for solving stochastic differential equations
-
K. BURRAGE AND T. H. TIAN, A note on the stability properties of the Euler methods for solving stochastic differential equations, New Zealand J. Math., 29 (2000), pp. 115-127.
-
(2000)
New Zealand J. Math.
, vol.29
, pp. 115-127
-
-
Burrage, K.1
Tian, T.H.2
-
12
-
-
0003568345
-
-
Ph.D. thesis, Department of Mathematics, the University of Queensland, Brisbane, Australia
-
P. M. BURRAGE, Runge-Kutta Methods for Stochastic Differential Equations, Ph.D. thesis, Department of Mathematics, the University of Queensland, Brisbane, Australia, 1999.
-
(1999)
Runge-Kutta Methods for Stochastic Differential Equations
-
-
Burrage, P.M.1
-
15
-
-
0001968970
-
The potential for parallelism in Runge-Kutta methods, Part 1: RK formulas in standard form
-
K. JACKSON AND S. P. NØRSETT, The potential for parallelism in Runge-Kutta methods, Part 1: RK formulas in standard form, SIAM J. Numer. Anal., 32 (1995), pp. 49-82.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 49-82
-
-
Jackson, K.1
Nørsett, S.P.2
-
16
-
-
0004834573
-
Stratonovich and Itô stochastic Taylor expansions
-
P. E. KLOEDEN AND E. PLATEN, Stratonovich and Itô stochastic Taylor expansions, Math. Nachr., 151 (1991), pp. 33-50.
-
(1991)
Math. Nachr.
, vol.151
, pp. 33-50
-
-
Kloeden, P.E.1
Platen, E.2
-
18
-
-
0642303008
-
Rooted tree analysis of the order conditions of ROW-type scheme for stochastic differential equations
-
Y. KOMORI, T. MITSUI, AND H. SUGIURA, Rooted tree analysis of the order conditions of ROW-type scheme for stochastic differential equations, BIT, 37 (1997), pp. 43-66.
-
(1997)
BIT
, vol.37
, pp. 43-66
-
-
Komori, Y.1
Mitsui, T.2
Sugiura, H.3
-
20
-
-
0001533096
-
Balanced implicit methods for stiff stochastic systems
-
G. N. MILSTEIN, E. PLATEN, AND H. SCHURZ, Balanced implicit methods for stiff stochastic systems, SIAM J. Numer. Anal., 35 (1998), pp. 1010-1019.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 1010-1019
-
-
Milstein, G.N.1
Platen, E.2
Schurz, H.3
-
21
-
-
0004836249
-
On weak implicit and predictor-corrector methods
-
E. PLATEN, On weak implicit and predictor-corrector methods, Math. Comput. Simulation, 38 (1995), pp. 69-76.
-
(1995)
Math. Comput. Simulation
, vol.38
, pp. 69-76
-
-
Platen, E.1
-
22
-
-
0001040012
-
Numerical treatment of stochastic differential equations
-
W. RÜMELIN, Numerical treatment of stochastic differential equations, SIAM J. Numer. Anal., 19 (1982), pp. 604-613.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 604-613
-
-
Rümelin, W.1
-
23
-
-
0003052614
-
T-stability of numerical scheme for stochastic differential equations
-
Y. SAITO AND T. MITSUI, T-stability of numerical scheme for stochastic differential equations, World Sci. Ser. Appl. Anal., 2 (1993), pp. 333-344.
-
(1993)
World Sci. Ser. Appl. Anal.
, vol.2
, pp. 333-344
-
-
Saito, Y.1
Mitsui, T.2
-
24
-
-
0000007761
-
Stability analysis of numerical schemes for stochastic differential equations
-
Y. SAITO AND T. MITSUI, Stability analysis of numerical schemes for stochastic differential equations, SIAM J. Numer. Anal., 33 (1996), pp. 2254-2267.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 2254-2267
-
-
Saito, Y.1
Mitsui, T.2
-
25
-
-
0008450420
-
Parallelism in the Numerical Integration of Initial Value Problems
-
Amsterdam, The Netherlands
-
B. P. SOMMEIJER, Parallelism in the Numerical Integration of Initial Value Problems, CWI Tract, Amsterdam, The Netherlands, 1993.
-
(1993)
CWI Tract
-
-
Sommeijer, B.P.1
-
26
-
-
0043236587
-
Two-stage stochastic Runge-Kutta methods for stochastic differential equations
-
T. H. TIAN AND K. BURRAGE, Two-stage stochastic Runge-Kutta methods for stochastic differential equations, BIT, 42 (2002), pp. 625-643.
-
(2002)
BIT
, vol.42
, pp. 625-643
-
-
Tian, T.H.1
Burrage, K.2
-
27
-
-
0027664747
-
Parallel block predictor-corrector methods of Runge-Kutta type
-
P. J. VAN DER HOUWEN AND N. HUU CONG, Parallel block predictor-corrector methods of Runge-Kutta type, Appl. Numer. Math., 13 (1993), pp. 109-123.
-
(1993)
Appl. Numer. Math.
, vol.13
, pp. 109-123
-
-
Van Der Houwen, P.J.1
Huu Cong, N.2
-
28
-
-
0029721590
-
Parallel predictor-corrector methods
-
P. J. VAN DER HOUWEN, B. P. SOMMEIJER, AND J. J. B. DE SWART, Parallel predictor-corrector methods, J. Comput. Appl. Math., 66 (1996), pp. 53-71.
-
(1996)
J. Comput. Appl. Math.
, vol.66
, pp. 53-71
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
De Swart, J.J.B.3
|