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Donsker-Type Theorem for BSDEs
8 references·16 citing·34 second hop
Donsker-Type Theorem for BSDEs (2001)Donsker-Type Theorem for BSDEsForward-Backward Stochastic Differential Equations and their Applications (2007)Forward-Backward Stochastic D…Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Backward stochastic different…Non-linear pricing theory and backward stochastic differential equations (1997)Non-linear pricing theory and…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…Probabilistic interpretation for systems of quasilinear parabolic partial differential equations (1991)Probabilistic interpretation …Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Numerical methods for backward stochastic differential equations: A survey (2023)Numerical methods for backwar…Multilevel Picard iterations for solving smooth semilinear parabolic heat equations (2021)Multilevel Picard iterations …Simulation of BSDEs with jumps by Wiener Chaos expansion (2016)Simulation of BSDEs with jump…Malliavin calculus for backward stochastic differential equations and application to numerical solutions (2016)Malliavin calculus for backwa…A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs (2015)A Fourier Cosine Method for a…Simulation of BSDEs by Wiener chaos expansion (2014)Simulation of BSDEs by Wiener…BS$\Delta$Es and BSDEs with non-Lipschitz drivers: Comparison, convergence and robustness (2013)BS$\Delta$Es and BSDEs with n…Least-Squares Monte Carlo for Backward SDEs (2012)Least-Squares Monte Carlo for…Malliavin calculus for backward stochastic differential equations and application to numerical solutions (2011)Malliavin calculus for backwa…On the Monte 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this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 2005Backward stochastic differential equations and quasilinear parabolic partial differential equations782 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited
  • 1991Probabilistic interpretation for systems of quasilinear parabolic partial differential equations518 cited
  • 1996Numerical methods for forward-backward stochastic differential equations181 cited
  • 1997Non-linear pricing theory and backward stochastic differential equations150 cited

Cited by

  • 2012Least-Squares Monte Carlo for Backward SDEs85 cited
  • 2015A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs80 cited
  • 2008On Numerical Approximations of Forward-Backward Stochastic Differential Equations73 cited
  • 2014Simulation of BSDEs by Wiener chaos expansion71 cited
  • 2002On the robustness of backward stochastic differential equations71 cited
  • 2021Multilevel Picard iterations for solving smooth semilinear parabolic heat equations69 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2009Error estimates of the $\theta$-scheme for backward stochastic differentialequations58 cited
  • 2016Malliavin calculus for backward stochastic differential equations and application to numerical solutions53 cited
  • 2010On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights50 cited
  • 2009Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs47 cited
  • 2011Malliavin calculus for backward stochastic differential equations and application to numerical solutions45 cited
  • 2010Numerical algorithms for backward stochastic differential equations with 1-d brownian motion: Convergence and simulations40 cited
  • 2013BS$\Delta$Es and BSDEs with non-Lipschitz drivers: Comparison, convergence and robustness39 cited
  • 2005The Steepest Descent Method for Forward-Backward SDEs39 cited
  • 2016Simulation of BSDEs with jumps by Wiener Chaos expansion35 cited
  • 2023Numerical methods for backward stochastic differential equations: A survey32 cited