-
1
-
-
0012329392
-
Numerical analysis of explicit one-step methods for stochastic delay differential equations
-
C. BAKER AND E. BUCKWAR, Numerical analysis of explicit one-step methods for stochastic delay differential equations, LMS J. Comput. Math., 3 (2000), pp. 315-335.
-
(2000)
LMS J. Comput. Math
, vol.3
, pp. 315-335
-
-
BAKER, C.1
BUCKWAR, E.2
-
2
-
-
3142555960
-
On two-step methods for stochastic differential equations
-
R. H. BOKOR, On two-step methods for stochastic differential equations, Acta Cybernet., 13 (1997), pp. 197-207.
-
(1997)
Acta Cybernet
, vol.13
, pp. 197-207
-
-
BOKOR, R.H.1
-
4
-
-
0037297001
-
Stochastically stable one-step approximations of solutions of stochastic ordinary differential equations, 3
-
R. H. BOKOR, Stochastically stable one-step approximations of solutions of stochastic ordinary differential equations, 3. Appl. Numer. Math., 44 (2003), pp. 299-312.
-
(2003)
Appl. Numer. Math
, vol.44
, pp. 299-312
-
-
BOKOR, R.H.1
-
5
-
-
0042185152
-
Adams-type methods for the numerical solution of stochastic ordinary differential equations
-
L. BRUGNANO, K. BURRAGE, AND P. BURRAGE, Adams-type methods for the numerical solution of stochastic ordinary differential equations, BIT, 40 (2000), pp. 451-470.
-
(2000)
BIT
, vol.40
, pp. 451-470
-
-
BRUGNANO, L.1
BURRAGE, K.2
BURRAGE, P.3
-
6
-
-
34247187113
-
On two-step schemes for SDEs with small noise
-
E. BUCKWAR AND R. WINKLER, On two-step schemes for SDEs with small noise, PAMM, 4 (2004), pp. 16-18.
-
(2004)
PAMM
, vol.4
, pp. 16-18
-
-
BUCKWAR, E.1
WINKLER, R.2
-
7
-
-
34248208111
-
Improved linear multi-step methods for stochastic ordinary differential equations
-
to appear
-
E. BUCKWAR AND R. WINKLER, Improved linear multi-step methods for stochastic ordinary differential equations, J. Comput. Appl. Math., to appear.
-
J. Comput. Appl. Math
-
-
BUCKWAR, E.1
WINKLER, R.2
-
8
-
-
0032182723
-
General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems
-
K. BURRAGE AND P. M. BURRAGE, General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems., Appl. Numer. Math., 28 (1998), pp. 161-177.
-
(1998)
Appl. Numer. Math
, vol.28
, pp. 161-177
-
-
BURRAGE, K.1
BURRAGE, P.M.2
-
9
-
-
0003568345
-
-
Ph.D. thesis, University of Queensland, Brisbane, Australia
-
P. BURRAGE, Runge-Kutta methods for stochastic differential equations, Ph.D. thesis, University of Queensland, Brisbane, Australia, 1999.
-
(1999)
Runge-Kutta methods for stochastic differential equations
-
-
BURRAGE, P.1
-
10
-
-
0021852361
-
33 years of numerical instability, Part I
-
G. DAHLQUIST, 33 years of numerical instability, Part I, BIT, 25 (1985), pp. 188-204.
-
(1985)
BIT
, vol.25
, pp. 188-204
-
-
DAHLQUIST, G.1
-
11
-
-
0031359307
-
Adams methods for the efficient solution of stochastic differential equations with additive noise
-
G. DENK AND S. SCHÄPPLER, Adams methods for the efficient solution of stochastic differential equations with additive noise, Computing, 59 (1996), pp. 153-161.
-
(1996)
Computing
, vol.59
, pp. 153-161
-
-
DENK, G.1
SCHÄPPLER, S.2
-
12
-
-
34247267365
-
Modeling and simulation of transient noise in circuit simulation
-
to appear
-
G. DENK AND R. WINKLER, Modeling and simulation of transient noise in circuit simulation, Math. Comput. Modelling, to appear.
-
Math. Comput. Modelling
-
-
DENK, G.1
WINKLER, R.2
-
13
-
-
29144534675
-
Numerical analysis of stochastic schemes in geophysics
-
B. D. EWALD AND R. TÉMAM, Numerical analysis of stochastic schemes in geophysics, SIAM J. Numer. Anal., 42 (2005), pp. 2257-2276.
-
(2005)
SIAM J. Numer. Anal
, vol.42
, pp. 2257-2276
-
-
EWALD, B.D.1
TÉMAM, R.2
-
16
-
-
0004317158
-
Solving Ordinary Differential Equations. 1: Nonstiff Problems
-
2nd rev. ed, Springer, New York
-
E. HAIRER, S. P. NØRSETT, AND G. WANNER, Solving Ordinary Differential Equations. 1: Nonstiff Problems, 2nd rev. ed., Springer Ser. Comput. Math. 8, Springer, New York, 1993.
-
(1993)
Springer Ser. Comput. Math
, vol.8
-
-
HAIRER, E.1
NØRSETT, S.P.2
WANNER, G.3
-
20
-
-
84980086027
-
Survey of the stability of linear finite difference equations
-
P. LAX AND R. RICHTMYER, Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math., 9 (1956), pp. 267-293.
-
(1956)
Comm. Pure Appl. Math
, vol.9
, pp. 267-293
-
-
LAX, P.1
RICHTMYER, R.2
-
21
-
-
0031173522
-
Mean-square numerical methods for stochastic differential equations with small noise
-
G. MILSTEIN AND M. TRETYAKOV, Mean-square numerical methods for stochastic differential equations with small noise, SIAM J. Sci. Comput., 18 (1997), pp. 1067-1087.
-
(1997)
SIAM J. Sci. Comput
, vol.18
, pp. 1067-1087
-
-
MILSTEIN, G.1
TRETYAKOV, M.2
-
23
-
-
0012439159
-
Theorem on the order of convergence for mean-square approximations of solutions of stochastic differential equations
-
G. MILSTEIN, Theorem on the order of convergence for mean-square approximations of solutions of stochastic differential equations, Theory Probab. Appl., 32 (1987), pp. 738-741.
-
(1987)
Theory Probab. Appl
, vol.32
, pp. 738-741
-
-
MILSTEIN, G.1
-
25
-
-
0034159721
-
A new numerical method for sdes and its application in circuit simulation, 3
-
C. PENSKI, A new numerical method for sdes and its application in circuit simulation, 3. Comput. Appl. Math., 115 (2000), pp. 461-470.
-
(2000)
Comput. Appl. Math
, vol.115
, pp. 461-470
-
-
PENSKI, C.1
-
27
-
-
34247189849
-
-
W. RÖMISCH AND R. WINKLER, Stochastic DAEs in circuit simulation, in Modeling, Simulation and Optimization of Integrated Circuits, A. G. K. Antreich, R. Bulirsch and P. Rentrop, eds., Birkhäuser, Basel, Switzerland, 2003, pp. 303-318.
-
W. RÖMISCH AND R. WINKLER, Stochastic DAEs in circuit simulation, in Modeling, Simulation and Optimization of Integrated Circuits, A. G. K. Antreich, R. Bulirsch and P. Rentrop, eds., Birkhäuser, Basel, Switzerland, 2003, pp. 303-318.
-
-
-
-
28
-
-
0007336796
-
On the simulation of iterated Itô integrals
-
T. RYDÉN AND M. WIKTORSSON, On the simulation of iterated Itô integrals, Stochastic Process. Appl., 91 (2001), pp. 151-168.
-
(2001)
Stochastic Process. Appl
, vol.91
, pp. 151-168
-
-
RYDÉN, T.1
WIKTORSSON, M.2
-
29
-
-
0035538464
-
Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions
-
M. WIKTORSSON, Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions, Ann. Appl. Probab., 11 (2001), pp. 470-487.
-
(2001)
Ann. Appl. Probab
, vol.11
, pp. 470-487
-
-
WIKTORSSON, M.1
-
30
-
-
0041519194
-
Stochastic differential algebraic equations of index 1 and applications in circuit simulation
-
R. WINKLER, Stochastic differential algebraic equations of index 1 and applications in circuit simulation, J. Comput. Appl. Math., 157 (2003), pp. 477-505.
-
(2003)
J. Comput. Appl. Math
, vol.157
, pp. 477-505
-
-
WINKLER, R.1
-
31
-
-
85048546414
-
Stochastic DAEs in transient noise simulation
-
Proceedings of Scientific Computing in Electrical Engineering, Springer, Berlin
-
R. WINKLER, Stochastic DAEs in transient noise simulation, in Proceedings of Scientific Computing in Electrical Engineering, Eindhoven Springer Series Mathematics in Industry, Springer, Berlin, 2004, pp. 408-415.
-
(2004)
Eindhoven Springer Series Mathematics in Industry
, pp. 408-415
-
-
WINKLER, R.1
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