-
2
-
-
34248362118
-
-
E. Buckwar, R. Winkler, Multi-step methods for SDEs and their applications to problems with small noise, Technical Report, Humboldt-Universität zu Berlin, 2004.
-
-
-
-
3
-
-
3042536076
-
Adaptive stepsize based on control theory for stochastic differential equations
-
Burrage P.M., Herdiana R., and Burrage K. Adaptive stepsize based on control theory for stochastic differential equations. J. Comput. Appl. Math. 170 2 (2004) 317-336
-
(2004)
J. Comput. Appl. Math.
, vol.170
, Issue.2
, pp. 317-336
-
-
Burrage, P.M.1
Herdiana, R.2
Burrage, K.3
-
4
-
-
0012016743
-
Maple for stochastic differential equations
-
Blowey J.F., Coleman J.P., and Craig A.W. (Eds), Springer, Berlin
-
Cyganowski S., Grüne L., and Kloeden P.E. Maple for stochastic differential equations. In: Blowey J.F., Coleman J.P., and Craig A.W. (Eds). Theory and Numerics of Differential Equations (2001), Springer, Berlin 127-178
-
(2001)
Theory and Numerics of Differential Equations
, pp. 127-178
-
-
Cyganowski, S.1
Grüne, L.2
Kloeden, P.E.3
-
5
-
-
0028485279
-
Random generation of stochastic area integrals
-
Gaines J., and Lyons T. Random generation of stochastic area integrals. SIAM J. Appl. Math. 54 4 (1994) 1132-1146
-
(1994)
SIAM J. Appl. Math.
, vol.54
, Issue.4
, pp. 1132-1146
-
-
Gaines, J.1
Lyons, T.2
-
6
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham D.J. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. Edu. Sec. 43 (2001) 525-546
-
(2001)
SIAM Rev. Edu. Sec.
, vol.43
, pp. 525-546
-
-
Higham, D.J.1
-
7
-
-
0012279718
-
Strong convergence of Euler-type methods for nonlinear stochastic differential equations
-
Higham D.J., Mao X., and Stuart A.M. Strong convergence of Euler-type methods for nonlinear stochastic differential equations. SIAM J. Numer. Anal. 40 3 (2002) 1041-1063
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, Issue.3
, pp. 1041-1063
-
-
Higham, D.J.1
Mao, X.2
Stuart, A.M.3
-
9
-
-
0007266479
-
The approximation of multiple stochastic integrals
-
Kloeden P.E., Platen E., and Wright I.W. The approximation of multiple stochastic integrals. Stochastic Anal. Appl. 10 4 (1992) 431-441
-
(1992)
Stochastic Anal. Appl.
, vol.10
, Issue.4
, pp. 431-441
-
-
Kloeden, P.E.1
Platen, E.2
Wright, I.W.3
-
10
-
-
0242708960
-
An adaptive timestepping algorithm for stochastic differential equations
-
Lamba H. An adaptive timestepping algorithm for stochastic differential equations. J. Comput. Appl. Math. 161 2 (2003) 417-430
-
(2003)
J. Comput. Appl. Math.
, vol.161
, Issue.2
, pp. 417-430
-
-
Lamba, H.1
-
11
-
-
0040833010
-
The Ziggurat method for generating random variables
-
〈http://www.jstatsoft.org/v05/i08/ziggurat.pdf〉
-
Marsaglia G., and Tsang W.W. The Ziggurat method for generating random variables. J. Statist. Software 5 8 (2000) 7. http://www.jstatsoft.org/v05/i08/ziggurat.pdf 〈http://www.jstatsoft.org/v05/i08/ziggurat.pdf〉
-
(2000)
J. Statist. Software
, vol.5
, Issue.8
, pp. 7
-
-
Marsaglia, G.1
Tsang, W.W.2
-
12
-
-
0003074014
-
Continuous Markov processes and stochastic equations
-
Maruyama G. Continuous Markov processes and stochastic equations. Rend. Circ. Mat. Palermo 4 2 (1955) 48-90
-
(1955)
Rend. Circ. Mat. Palermo
, vol.4
, Issue.2
, pp. 48-90
-
-
Maruyama, G.1
-
13
-
-
0000532550
-
Approximate integration of stochastic differential equations
-
Milstein G.N. Approximate integration of stochastic differential equations. Theory Probab. Appl. 19 (1974) 557-562
-
(1974)
Theory Probab. Appl.
, vol.19
, pp. 557-562
-
-
Milstein, G.N.1
-
14
-
-
0031173522
-
Mean-square numerical methods for stochastic differential equations with small noises
-
Milstein G.N., and Tretyakov M.V. Mean-square numerical methods for stochastic differential equations with small noises. SIAM J. Sci. Comput. 18 4 (1997) 1067-1087
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, Issue.4
, pp. 1067-1087
-
-
Milstein, G.N.1
Tretyakov, M.V.2
-
16
-
-
34248360076
-
-
C. Moler, Normal behavior: Ziggurat algorithm generates normally distributed random numbers, Technical Report, MATLAB News & Notes, Spring 2001.
-
-
-
-
17
-
-
34248357977
-
-
J.J. Moré, B.S. Garbow, K.E. Hillstrom, User guide for MINPACK-1, Technical Report ANL-80-74, Argonne National Laboratory, Argonne, IL, USA, 1980.
-
-
-
-
18
-
-
0031236591
-
Molecular modeling of proteins and mathematical prediction of protein structure
-
Neumaier A. Molecular modeling of proteins and mathematical prediction of protein structure. SIAM Rev. 39 3 (1997) 407-460
-
(1997)
SIAM Rev.
, vol.39
, Issue.3
, pp. 407-460
-
-
Neumaier, A.1
-
20
-
-
0002626122
-
A FORTRAN subroutine for solving systems of nonlinear algebraic equations
-
Gordon and Breach, London
-
Powell M.J.D. A FORTRAN subroutine for solving systems of nonlinear algebraic equations. Numerical Methods for Nonlinear Algebraic Equations (Proceedings of the Conference, University of Essex, Colchester, 1969) (1970), Gordon and Breach, London 115-161
-
(1970)
Numerical Methods for Nonlinear Algebraic Equations (Proceedings of the Conference, University of Essex, Colchester, 1969)
, pp. 115-161
-
-
Powell, M.J.D.1
-
21
-
-
0007336796
-
On the simulation of iterated Itô integrals
-
Rydén T., and Wiktorsson M. On the simulation of iterated Itô integrals. Stochastic Process. Appl. 91 1 (2001) 151-168
-
(2001)
Stochastic Process. Appl.
, vol.91
, Issue.1
, pp. 151-168
-
-
Rydén, T.1
Wiktorsson, M.2
-
23
-
-
0035538464
-
Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions
-
Wiktorsson M. Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions. Ann. Appl. Probab. 11 2 (2001) 470-487
-
(2001)
Ann. Appl. Probab.
, vol.11
, Issue.2
, pp. 470-487
-
-
Wiktorsson, M.1
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