-
1
-
-
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
-
2
-
-
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
-
3
-
-
40649101463
-
Classification of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations
-
K. DEBRABANT AND A. RÖßLER, Classification of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations, Math. Comput. Simulation, 77 (2008), pp. 408-420.
-
(2008)
Math. Comput. Simulation
, vol.77
, pp. 408-420
-
-
DEBRABANT, K.1
RÖßLER, A.2
-
4
-
-
58249084804
-
Families of efficient second order Runge-Kutta methods for the weak approximation of Itô stochastic differential equations
-
K. DEBRABANT AND A. RÖßLER, Families of efficient second order Runge-Kutta methods for the weak approximation of Itô stochastic differential equations, Appl. Numer. Math., 59 (2009), pp. 582-594.
-
(2009)
Appl. Numer. Math
, vol.59
, pp. 582-594
-
-
DEBRABANT, K.1
RÖßLER, A.2
-
5
-
-
0003589989
-
-
Springer-Verlag, Berlin
-
E. HAIRER, S. P. NøRSETT, AND G. WANNER, Solving Ordinary differential Equations I, Springer-Verlag, Berlin, 1993.
-
(1993)
Solving Ordinary differential Equations I
-
-
HAIRER, E.1
NøRSETT, S.P.2
WANNER, G.3
-
8
-
-
0039565799
-
Extrapolation methods for the weak approximation of Ito diffusions
-
P. E. KLOEDEN, E. PLATEN, AND N. Hofmann, Extrapolation methods for the weak approximation of Ito diffusions, SIAM J. Numer. Anal., 32 (1995), pp. 1519-1534.
-
(1995)
SIAM J. Numer. Anal
, vol.32
, pp. 1519-1534
-
-
KLOEDEN, P.E.1
PLATEN, E.2
Hofmann, N.3
-
9
-
-
34249278816
-
Weak second-order stochastic Runge-Kutta methods for non-commutative stochastic differential equations
-
Y. KOMORI, Weak second-order stochastic Runge-Kutta methods for non-commutative stochastic differential equations, J. Comput. Appl. Math., 206 (2007), pp. 158-173.
-
(2007)
J. Comput. Appl. Math
, vol.206
, pp. 158-173
-
-
KOMORI, Y.1
-
10
-
-
0642303008
-
Rooted tree analysis of the order conditions of ROWtype scheme for stochastic differential equations
-
Y. KOMORI, T. MITSUI, AND H. SUGIURA, Rooted tree analysis of the order conditions of ROWtype 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
-
11
-
-
36048979920
-
A step size control algorithm for the weak approximation of stochastic differential equations
-
D. KÜPPER, J. LEHN, AND A. RÖßLER, A step size control algorithm for the weak approximation of stochastic differential equations, Numer. Algorithms, 44 (2007), pp. 335-346.
-
(2007)
Numer. Algorithms
, vol.44
, pp. 335-346
-
-
KÜPPER, D.1
LEHN, J.2
RÖßLER, A.3
-
13
-
-
20444378209
-
Convergence rates for adaptive weak approximation of stochastic differential equations
-
K.-S. MOON, A. SZEPESSY, R. TEMPONE, AND G. E. ZOURARIS, Convergence rates for adaptive weak approximation of stochastic differential equations, Stochastic Anal. Appl., 23 (2005), pp. 511-558.
-
(2005)
Stochastic Anal. Appl
, vol.23
, pp. 511-558
-
-
MOON, K.-S.1
SZEPESSY, A.2
TEMPONE, R.3
ZOURARIS, G.E.4
-
14
-
-
0026138294
-
Asymptotically efficient Runge-Kutta methods for a class of Itô and Stratonovich equations
-
N. J. NEWTON, Asymptotically efficient Runge-Kutta methods for a class of Itô and Stratonovich equations, SIAM J. Appl. Math., 51 (1991), pp. 542-567.
-
(1991)
SIAM J. Appl. Math
, vol.51
, pp. 542-567
-
-
NEWTON, N.J.1
-
15
-
-
40849085475
-
Weak approximation of stochastic differential equations and application to derivative pricing
-
S. NINOMIYA AND N. VICTOIR, Weak approximation of stochastic differential equations and application to derivative pricing, Appl. Math. Finance, 15 (2008), pp. 107-121.
-
(2008)
Appl. Math. Finance
, vol.15
, pp. 107-121
-
-
NINOMIYA, S.1
VICTOIR, N.2
-
16
-
-
1442264991
-
Runge-Kutta methods for Stratonovich stochastic differential equation systems with commutative noise
-
A. RÖßLER, Runge-Kutta methods for Stratonovich stochastic differential equation systems with commutative noise, J. Comput. Appl. Math., 164-165 (2004), pp. 613-627.
-
(2004)
J. Comput. Appl. Math
, vol.164-165
, pp. 613-627
-
-
RÖßLER, A.1
-
17
-
-
8344274262
-
Stochastic Taylor expansions for the expectation of functionals of diffusion processes
-
A. RÖßLER, Stochastic Taylor expansions for the expectation of functionals of diffusion processes, Stochastic Anal. Appl., 22 (2004), pp. 1553-1576.
-
(2004)
Stochastic Anal. Appl
, vol.22
, pp. 1553-1576
-
-
RÖßLER, A.1
-
18
-
-
30444461217
-
Rooted tree analysis for order conditions of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations
-
A. RÖßLER, Rooted tree analysis for order conditions of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations, Stochastic Anal. Appl., 24 (2006), pp. 97-134.
-
(2006)
Stochastic Anal. Appl
, vol.24
, pp. 97-134
-
-
RÖßLER, A.1
-
19
-
-
33645029424
-
Runge-Kutta methods for Itô stochastic differential equations with scalar noise
-
A. RÖßLER, Runge-Kutta methods for Itô stochastic differential equations with scalar noise, BIT, 46 (2006), pp. 97-110.
-
(2006)
BIT
, vol.46
, pp. 97-110
-
-
RÖßLER, A.1
-
20
-
-
34548664171
-
Second order Runge-Kutta methods for Stratonovich stochastic differential equations
-
A. RÖßLER, Second order Runge-Kutta methods for Stratonovich stochastic differential equations, BIT, 47 (2007), pp. 657-680.
-
(2007)
BIT
, vol.47
, pp. 657-680
-
-
RÖßLER, A.1
-
21
-
-
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
-
22
-
-
0010588720
-
Second-order discretization schemes of stochastic differential systems for the computation of the invariant law
-
D. TALAY, Second-order discretization schemes of stochastic differential systems for the computation of the invariant law, Stoch. Stoch. Rep., 29 (1990), pp. 13-36.
-
(1990)
Stoch. Stoch. Rep
, vol.29
, pp. 13-36
-
-
TALAY, D.1
-
23
-
-
0000124397
-
Expansion of the global error for numerical schemes solving stochastic differential equations
-
D. TALAY AND L. TUBARO, Expansion of the global error for numerical schemes solving stochastic differential equations, Stochastic Anal. Appl., 8 (1990), pp. 483-509.
-
(1990)
Stochastic Anal. Appl
, vol.8
, pp. 483-509
-
-
TALAY, D.1
TUBARO, L.2
-
24
-
-
0037246360
-
Weak second order conditions for stochastic Runge-Kutta methods
-
A. TOCINO AND J. Vigo-AGUIAR, Weak second order conditions for stochastic Runge-Kutta methods, SIAM J. Sci. Comput., 24 (2002), pp. 507-523.
-
(2002)
SIAM J. Sci. Comput
, vol.24
, pp. 507-523
-
-
TOCINO, A.1
Vigo-AGUIAR, J.2
|