-
1
-
-
0012329392
-
Numerical analysis of explicit one-step methods for stochastic delay differential equations
-
(electronic)
-
Baker C.T.H., and Buckwar E. Numerical analysis of explicit one-step methods for stochastic delay differential equations. LMS J. Comput. Math. 3 (2000) 315-335 (electronic)
-
(2000)
LMS J. Comput. Math.
, vol.3
, pp. 315-335
-
-
Baker, C.T.H.1
Buckwar, E.2
-
3
-
-
33746839819
-
-
N. Hofmann, T. Müller-Gronbach, An optimal algorithm for strong approximation of scalar SDDE's with constant delay based on equidistant Brownian evaluation, Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg, 2004, preprint 04-22.
-
-
-
-
4
-
-
0035294723
-
The optimal discretization of stochastic differential equations
-
Hofmann N., Müller-Gronbach T., and Ritter K. The optimal discretization of stochastic differential equations. J. Complexity 17 (2001) 117-153
-
(2001)
J. Complexity
, vol.17
, pp. 117-153
-
-
Hofmann, N.1
Müller-Gronbach, T.2
Ritter, K.3
-
5
-
-
33746842853
-
-
Y. Hu, S.-E.A. Mohammed, F. Yan, Numerical solution of stochastic differential systems with memory, Department of Mathematics, Southern Illinois University, Carbondale, 2001, preprint.
-
-
-
-
6
-
-
2142818234
-
Discrete-time approximation of stochastic delay equations: the Milstein scheme
-
Hu Y., Mohammed S.-E.A., and Yan F. Discrete-time approximation of stochastic delay equations: the Milstein scheme. Ann. Probab. 32 1A (2004) 265-314
-
(2004)
Ann. Probab.
, vol.32
, Issue.1 A
, pp. 265-314
-
-
Hu, Y.1
Mohammed, S.-E.A.2
Yan, F.3
-
8
-
-
0346425000
-
Strong discrete time approximation of stochastic differential equations with time delay
-
Küchler U., and Platen E. Strong discrete time approximation of stochastic differential equations with time delay. Math. Comput. Simulation 54 (2000) 189-205
-
(2000)
Math. Comput. Simulation
, vol.54
, pp. 189-205
-
-
Küchler, U.1
Platen, E.2
-
9
-
-
3042628715
-
Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation
-
Liu M., Cao W., and Fan Z. Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation. J. Comput. Appl. Math. 170 (2004) 255-268
-
(2004)
J. Comput. Appl. Math.
, vol.170
, pp. 255-268
-
-
Liu, M.1
Cao, W.2
Fan, Z.3
-
12
-
-
33746808307
-
-
S.-E.A. Mohammed, Stochastic Functional Differential Equations, Research Notes in Mathematics, vol. 99, Pitman, London, 1984.
-
-
-
-
13
-
-
33746848675
-
-
S.-E.A. Mohammed, Stochastic differential systems with memory: theory, examples and applications, in: L. Decreusefond, J. Gjerde, B. Oksendal, A.S. Ustunel (Eds.), Stochastic Analysis and Related Topics VI. The Geilo Workshop, 1996, Progress in Probability, Birkhäuser, Basel, 1998.
-
-
-
-
15
-
-
26844485169
-
Optimal pointwise approximation of SDE's based on Brownian motion at discrete points
-
Müller-Gronbach T. Optimal pointwise approximation of SDE's based on Brownian motion at discrete points. Ann. Appl. Probab. 14 4 (2004) 1605-1642
-
(2004)
Ann. Appl. Probab.
, vol.14
, Issue.4
, pp. 1605-1642
-
-
Müller-Gronbach, T.1
-
16
-
-
85011454437
-
An introduction to numerical methods for stochastic differential equations
-
Platen E. An introduction to numerical methods for stochastic differential equations. Acta Numer. 8 (1999) 195-244
-
(1999)
Acta Numer.
, vol.8
, pp. 195-244
-
-
Platen, E.1
-
17
-
-
0042608558
-
Numerical analysis of SDEs without tears
-
Kannan D., and Lakshmikantham V. (Eds), Marcel Dekker, Basel
-
Schurz H. Numerical analysis of SDEs without tears. In: Kannan D., and Lakshmikantham V. (Eds). Handbook of Stochastic Analysis and Applications (2002), Marcel Dekker, Basel
-
(2002)
Handbook of Stochastic Analysis and Applications
-
-
Schurz, H.1
-
18
-
-
33746834231
-
-
D. Talay, Simulation of stochastic differential systems, in: P. Krée, W. Wedig (Eds.), Probabilistic Methods in Applied Physics, Lecture Notes in Physics, vol. 451, Springer, Berlin, 1995.
-
-
-
-
19
-
-
10644251806
-
Approximation schemes for stochastic equations with hereditary argument
-
Tudor M. Approximation schemes for stochastic equations with hereditary argument. Stud. Cerc. Mat. 44 (1992) 73-85
-
(1992)
Stud. Cerc. Mat.
, vol.44
, pp. 73-85
-
-
Tudor, M.1
-
20
-
-
0009583715
-
On approximation of solutions for stochastic delay equations
-
Tudor C., and Tudor M. On approximation of solutions for stochastic delay equations. Stud. Cerc. Mat. 39 (1987) 265-274
-
(1987)
Stud. Cerc. Mat.
, vol.39
, pp. 265-274
-
-
Tudor, C.1
Tudor, M.2
-
21
-
-
33746789551
-
-
I. Karatzas, S.E. Shreve, Brownian Motion and Stochastic Calculus, Springer, Berlin, 1991.
-
-
-
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