Shooting Methods for Numerical Solution of Stochastic Boundary-Value Problems

References

• Allen , E.J. and Nunn , C.J. 1995 . “ Difference methods for numerical solution of stochastic two-point boundary-value problems ” . In Proceedings of the First International Conference on Difference Equations Edited by: Elydi , S.N. , Greef , J.R. , Ladas , G and Peterson , A.C. Amsterdam , , Singapore : Gordan and Breach Publishers .
   Google Scholar
• Arnold , L. 1974 . Stochastic Differential Equations: Theory and Applications New York , , Singapore : John Wiley & Sons .
   Google Scholar
• Gard , T.C. 1988 . Introduction to Stochastic Differential Equations New York , , Singapore : Marcel Dekker .
   Google Scholar
• Kloeden , P.E. and Platen , E. 1992 . Numerical Solution of Stochastic Differential Equations New York , , Singapore : Springer-Verlag .
   Google Scholar
• Kloeden , P.E. , Platen , E. and Schurz , H. 1994 . Numerical Solution of SDE Through Computer Experiments Berlin , , Singapore : Springer-Verlag .
   Google Scholar
• Ocone , D. and Pardoux , E. 1989 . Linear stochastic differential equations with boundary conditions . Probab. Theory Rel. Fields , 82 : 489 – 526 .
   Web of Science ®Google Scholar
• Ortega , J.M. 1972 . Numerical Analysis: A Second Course London , , Singapore : Academic Press Inc. .
   Google Scholar
• Talay , D. 1995 . “ Simulation and numerical analysis of stochastic differential systems: A review ” . In Probabilistic Methods in Applied Physics; , Lecture Notes in Physics Edited by: Kree , P and Wedig , W . Vol. 451 , 63 – 106 . New York , , Singapore : Springer-Verlag .
   Google Scholar
• Talay , D. and Turbano , L. 1990 . Expansion of the global error for numerical schemes solving stochastic differential equations . Stoch. Anal. Appl. , 8 ( 4 ) : 483 – 509 .
   Web of Science ®Google Scholar
• Zeitouni , O. and Dembo , A. 1990 . A Change of variables formula for Stratonovich integrals and existence of solutions for two-point stochastic boundary value problems . Probab. Theory Rel. Fields , 84 : 411 – 425 .
   Web of Science ®Google Scholar