-
1
-
-
0001266425
-
Diagonally implicit Runge-Kutta methods for stiff ODEs
-
R. Alexander, Diagonally implicit Runge-Kutta methods for stiff ODEs, SIAM J. Numer. Anal., 14 (1977), pp. 1006-1021.
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 1006-1021
-
-
Alexander, R.1
-
2
-
-
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
-
3
-
-
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 (2001), pp. 1626-1646.
-
(2001)
SIAM J. Numer. Anal.
, vol.38
, pp. 1626-1646
-
-
Burrage, K.1
Burrage, P.M.2
-
4
-
-
0006985112
-
Stochastic methods for ill-posed problems
-
K. Burrage and S. Piskarev, Stochastic methods for ill-posed problems, BIT, 40 (2000), pp. 226-240.
-
(2000)
BIT
, vol.40
, pp. 226-240
-
-
Burrage, K.1
Piskarev, S.2
-
5
-
-
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
-
6
-
-
0035360332
-
The composite Euler method for solving stiff stochastic differential equations
-
K. Burrage and T. H. Tian, The composite Euler method for solving stiff stochastic differential equations, J. Comput. Appl. Math., 131 (2001), pp. 407-426.
-
(2001)
J. Comput. Appl. Math.
, vol.131
, pp. 407-426
-
-
Burrage, K.1
Tian, T.H.2
-
7
-
-
0035892821
-
Stiffy Accurate Runge-Kutta Methods for stiff Stochastic Differential Equations
-
K. Burrage and T. H. Tian, Stiffy Accurate Runge-Kutta Methods for stiff Stochastic Differential Equations, Comput. Phys. Commun., 142 (2001), pp. 186-190.
-
(2001)
Comput. Phys. Commun.
, vol.142
, pp. 186-190
-
-
Burrage, K.1
Tian, T.H.2
-
8
-
-
0141534425
-
Predictor-corrector methods of Runge-Kutta type for stochastic differential equations
-
K. Burrage and T. H. Tian, Predictor-corrector methods of Runge-Kutta type for stochastic differential equations, SIAM J. Numer. Anal., 40 (2002), pp. 1516-1537.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 1516-1537
-
-
Burrage, K.1
Tian, T.H.2
-
9
-
-
0034436594
-
Mean-square and asymptotic stability of numerical methods for stochastic ordinary differential equations
-
D. J. Higham, Mean-square and asymptotic stability of numerical methods for stochastic ordinary differential equations, SIAM J. Numer. Anal., 38 (2000), pp. 753-769.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 753-769
-
-
Higham, D.J.1
-
10
-
-
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
-
13
-
-
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
-
14
-
-
0141869053
-
Numerical methods for stochastic systems preserving symplectic structure
-
G. N. Milstein, Yu. M. Repin, and M. V. Tretyakov, Numerical methods for stochastic systems preserving symplectic structure, SIAM J. Numer. Anal., 40 (2003), pp. 1583-1604.
-
(2003)
SIAM J. Numer. Anal.
, vol.40
, pp. 1583-1604
-
-
Milstein, G.N.1
Repin, Yu.M.2
Tretyakov, M.V.3
-
15
-
-
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
-
16
-
-
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
-
17
-
-
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
-
18
-
-
0035400420
-
Implicit Taylor methods for stiff stochastic differential equations
-
T. H. Tian and K. Burrage, Implicit Taylor methods for stiff stochastic differential equations, Appl. Numer. Math., 38 (2001), pp. 167-185.
-
(2001)
Appl. Numer. Math.
, vol.38
, pp. 167-185
-
-
Tian, T.H.1
Burrage, K.2
-
19
-
-
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
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