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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 327–335
(Mi vmp727)
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On stability of the solution to a backward stochastic differential equation
A. V. Zakharov Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
A theorem on stability of the solution to a backward stochastic differential
equation is formulated and proved. This theorem is used to justify the
convergence of an approximate method for solving such equations. The work
was supported by the A.M. Lyapunov French-Russian Institute for Applied
Mathematics and Informatics (grant 02-01).
Keywords:
stability of solution, backward stochastic differential equations, numerical methods, financial mathematics.
Citation:
A. V. Zakharov, “On stability of the solution to a backward stochastic differential equation”, Num. Meth. Prog., 4:1 (2003), 327–335
Linking options:
https://www.mathnet.ru/eng/vmp727 https://www.mathnet.ru/eng/vmp/v4/i1/p327
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