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Numberical Method for Backward Stochastic Differential Equations
8 references·16 citing·31 second hop
Numberical Method for Backward Stochastic Differential Equations (2002)Numberical Method for Backward Stochastic…Stochastic Integration and Differential Equations (2005)Stochastic Integration and Di…Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Backward stochastic different…Backward stochastic differential equations with continuous coefficient (1997)Backward stochastic different…Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Numerical methods for forward-backward stochastic differential equations (1996)Numerical methods for forward…Solving forward-backward stochastic differential equations explicitly — a four step scheme (1994)Solving forward-backward stoc…Stochastic Integration and Differential Equations (1990)Stochastic Integration and Di…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks (2020)Overcoming the curse of dimen…On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations (2019)On Multilevel Picard Numerica…Malliavin calculus for backward stochastic differential equations and application to numerical solutions (2016)Malliavin calculus for backwa…Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions (2015)Linear regression MDP scheme …A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs (2015)A Fourier Cosine Method for a…Second order discretization of backward SDEs and simulation with the cubature method (2014)Second order discretization o…Nonlinear consistent valuation of CCP cleared or CSA bilateral trades with initial margins under credit, funding and wrong-way risks (2014)Nonlinear 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this work references cited by second hop

References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1990Stochastic Integration and Differential Equations1,195 cited
  • 2005Backward stochastic differential equations and quasilinear parabolic partial differential equations782 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 1997Backward stochastic differential equations with continuous coefficient354 cited
  • 1996Numerical methods for forward-backward stochastic differential equations181 cited

Cited by

  • 2007Discrete-time approximation of decoupled Forward–Backward SDE with jumps140 cited
  • 2019On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations134 cited
  • 2014New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations107 cited
  • 2010A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations95 cited
  • 2005On some recent aspects of stochastic control and their applications92 cited
  • 2010

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A general theory of finite state Backward Stochastic Difference Equations
88 cited
  • 2012Least-Squares Monte Carlo for Backward SDEs85 cited
  • 2015Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions84 cited
  • 2015A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs80 cited
  • 2008On Numerical Approximations of Forward-Backward Stochastic Differential Equations73 cited
  • 2014Second order discretization of backward SDEs and simulation with the cubature method56 cited
  • 2014Nonlinear consistent valuation of CCP cleared or CSA bilateral trades with initial margins under credit, funding and wrong-way risks53 cited
  • 2016Malliavin calculus for backward stochastic differential equations and application to numerical solutions53 cited
  • 2020Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks52 cited
  • 2002Path regularity for solutions of backward stochastic differential equations50 cited
  • 2010On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights50 cited