Central European Journal of Mathematics

, Volume 10, Issue 2, pp 693–702 | Cite as

Numerical schemes for multivalued backward stochastic differential systems

Research Article


We define approximation schemes for generalized backward stochastic differential systems, considered in the Markovian framework. More precisely, we propose a mixed approximation scheme for the following backward stochastic variational inequality:
$$dY_t + F(t,X_t ,Y_t ,Z_t )dt \in \partial \phi (Y_t )dt + Z_t dW_t ,$$
where ∂φ is the subdifferential operator of a convex lower semicontinuous function φ and (X t ) t∈[0;T] is the unique solution of a forward stochastic differential equation. We use an Euler type scheme for the system of decoupled forward-backward variational inequality in conjunction with Yosida approximation techniques.


Euler scheme Yosida approximation Error estimate Multivalued backward SDEs Reflected SDEs 


65C99 60H30 47H15 


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Copyright information

© © Versita Warsaw and Springer-Verlag Wien 2011

Authors and Affiliations

  1. 1.Faculty of MathematicsAlexandru Ioan Cuza UniversityIaşiRomania

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