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Error expansion for the discretization of backward stochastic differential equations
16 references·16 citing·25 second hopsampled
Error expansion for the discretization of backward stochastic differential equations (2006)Error expansion for the discretization of…Forward-Backward Stochastic Differential Equations and their Applications (2007)Forward-Backward Stochastic D…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Stochastic Integration and Differential Equations (2005)Stochastic Integration and Di…A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)A regression-based Monte Carl…Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Discrete-time approximation a…A numerical scheme for BSDEs (2004)A numerical scheme for BSDEsForward-Backward Stochastic Differential Equations and Their Applications (1999)Forward-Backward Stochastic D…Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolic and Elliptic PDEs of Second Order (1998)Backward Stochastic Different…Asymptotic error distributions for the Euler method for stochastic differential equations (1998)Asymptotic error distribution…Stochastic Analysis (1997)Stochastic AnalysisBackward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…The law of the Euler scheme for stochastic differential equations (1996)The law of the Euler scheme f…The Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Re…Mean-Variance Hedging in Continuous Time (1991)Mean-Variance Hedging in Cont…Stochastic Integration and Differential Equations (1990)Stochastic Integration and Di…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…RUNGE–KUTTA SCHEMES FOR BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS (2016)RUNGE–KUTTA SCHEMES FOR BACKW…Numerical simulation of quadratic BSDEs (2016)Numerical simulation of quadr…Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions (2015)Linear regression MDP scheme …Approximation of backward stochastic differential equations using Malliavin weights and least-squares regression (2015)Approximation of backward sto…Simulation of BSDEs by Wiener chaos expansion (2014)Simulation of BSDEs by Wiener…Second order discretization of backward SDEs and simulation with the cubature method (2014)Second order discretization o…Runge–Kutta schemes for backward stochastic differential equations (2014)Runge–Kutta schemes for backw…Linear Multistep Schemes for BSDEs (2014)Linear Multistep Schemes for …A Numerical Method and Its Error Estimates for the Decoupled Forward-Backward Stochastic Differential Equations (2013)A Numerical Method and Its Er…Markovian quadratic and superquadratic BSDEs with an unbounded terminal condition (2012)Markovian quadratic and super…Least-Squares Monte Carlo for Backward SDEs (2012)Least-Squares Monte Carlo for…A generalized $\theta$-scheme for solving backward stochastic differential equations (2012)A generalized $\theta$-scheme…On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights (2010)On the Monte Carlo simulation…A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations (2010)A Stable Multistep Scheme for…Error estimates of the $\theta$-scheme for backward stochastic differentialequations (2009)Error estimates of the $\thet…Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs (2009)Discrete-time approximation o…Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2006)A forward scheme for backward SDEs (2007)Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations (2019)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ 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Accounting Information (2001)Over-the-Counter Markets (2004)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Central limit theorems for sequences of multiple stochastic integrals (2005)Stochastic Differential Equations (2014)
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References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1995The Malliavin Calculus and Related Topics1,545 cited
  • 1990Stochastic Integration and Differential Equations1,195 cited
  • 1997Stochastic Analysis1,035 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited
  • 2004Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations518 cited
  • 2005A regression-based Monte Carlo method to solve backward stochastic differential equations412 cited
  • 1998Asymptotic error distributions for the Euler method for stochastic differential equations400 cited
  • 1991Mean-Variance Hedging in Continuous Time383 cited
  • 1996The law of the Euler scheme for stochastic differential equations375 cited
  • 2004A numerical scheme for BSDEs371 cited
  • 1999Forward-Backward Stochastic Differential Equations and Their Applications258 cited

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  • 1998Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolic and Elliptic PDEs of Second Order213 cited
  • Cited by

    • 2010A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations95 cited
    • 2012Least-Squares Monte Carlo for Backward SDEs85 cited
    • 2015Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions84 cited
    • 2014Simulation of BSDEs by Wiener chaos expansion71 cited
    • 2014Linear Multistep Schemes for BSDEs65 cited
    • 2016Numerical simulation of quadratic BSDEs58 cited
    • 2009Error estimates of the $\theta$-scheme for backward stochastic differentialequations58 cited
    • 2012Markovian quadratic and superquadratic BSDEs with an unbounded terminal condition57 cited
    • 2014Second order discretization of backward SDEs and simulation with the cubature method56 cited
    • 2012A generalized $\theta$-scheme for solving backward stochastic differential equations54 cited
    • 2014Runge–Kutta schemes for backward stochastic differential equations51 cited
    • 2010On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights50 cited
    • 2016RUNGE–KUTTA SCHEMES FOR BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS50 cited
    • 2009Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs47 cited
    • 2013A Numerical Method and Its Error Estimates for the Decoupled Forward-Backward Stochastic Differential Equations47 cited
    • 2015Approximation of backward stochastic differential equations using Malliavin weights and least-squares regression42 cited