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Numerical methods for forward-backward stochastic differential equations
5 references·16 citing·35 second hop
Numerical methods for forward-backward stochastic differential equations (1996)Numerical methods for forward-backward st…Numerical solution of stochastic differential equations (2016)Numerical solution of stochas…Hedging options for a large investor and forward-backward SDE's (1996)Hedging options for a large i…Solving forward-backward stochastic differential equations explicitly — a four step scheme (1994)Solving forward-backward stoc…Backward-Forward Stochastic Differential Equations (1993)Backward-Forward Stochastic D…Stochastic Differential Utility (1992)Stochastic Differential Utili…BSDE, path-dependent PDE and nonlinear Feynman-Kac formula (2015)BSDE, path-dependent PDE and …New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations (2014)New Kinds of High-Order Multi…Least-Squares Monte Carlo for Backward SDEs (2012)Least-Squares Monte Carlo for…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…Time discretization and Markovian iteration for coupled FBSDEs (2008)Time discretization and Marko…On Numerical Approximations of Forward-Backward Stochastic Differential Equations (2008)On Numerical Approximations o…Discrete-time approximation of decoupled Forward–Backward SDE with jumps (2007)Discrete-time approximation o…Time discretization and Markovian iteration for coupled FBSDEs (2006)Time discretization and Marko…Numerical Algorithms for Forward-Backward Stochastic Differential Equations (2006)Numerical Algorithms for Forw…A New Kind of Accurate Numerical Method for Backward Stochastic Differential Equations (2006)A New Kind of Accurate Numeri…A forward–backward stochastic algorithm for quasi-linear PDEs (2006)A forward–backward stochastic…On some recent aspects of stochastic control and their applications (2005)On some recent aspects of sto…Numberical Method for Backward Stochastic Differential Equations (2002)Numberical Method for Backwar…Donsker-Type Theorem for BSDEs (2001)Donsker-Type Theorem for BSDEsLinear ForwardBackward Stochastic Differential Equations (1999)Linear ForwardBackward Stocha…An intertemporal asset pricing model with stochastic consumption and investment opportunities (1979)Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework (1989)Consumption and Portfolio Decisions when Expected Returns are Time Varying (1999)Asset Pricing at the Millennium (2000)Robust Portfolio Rules and Asset Pricing (2004)Brownian Motion and Stochastic Calculus (2007)Adapted solution of a backward stochastic differential equation (1990)Backward Stochastic Differential Equations in Finance (1997)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011)Stochastic controls : Hamiltonian systems and HJB equations (1999)Stochastic Controls (1999)Stochastic Integration and Differential Equations (2005)On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations (2019)Controlled Diffusion Processes (1980)Stochastic Integration and Differential Equations (1990)Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control (1999)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case (1969)The Pricing of Options and Corporate Liabilities (1973)Finding adapted solutions of forward–backward stochastic differential equations: method of continuation (1997)Optimal consumption choices for a ‘large’ investor (1998)Dynamic programming for stochastic target problems and geometric flows (2002)Error expansion for the discretization of backward stochastic differential equations (2006)Forward-Backward Stochastic Differential Equations and their Applications (2007)The Malliavin Calculus and Related Topics (2006)Smart expansion and fast calibration for jump diffusions (2009)A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs (2015)Martingale Methods in Financial Modelling (1997)Alternative models for stock price dynamics (2003)Multilevel Monte Carlo Path Simulation (2008)Forward-backward stochastic differential equations and quasilinear parabolic PDEs (1999)Optimal Consumption and Portfolio Selection with Stochastic Differential Utility (1999)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)
this work references cited by second hop

References

  • 2016Numerical solution of stochastic differential equations5,001 cited
  • 1992Stochastic Differential Utility1,165 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 1993Backward-Forward Stochastic Differential Equations345 cited
  • 1996Hedging options for a large investor and forward-backward SDE's207 cited

Cited by

  • 2002Numberical Method for Backward Stochastic Differential Equations154 cited
  • 2006A New Kind of Accurate Numerical Method for Backward Stochastic Differential Equations151 cited
  • 2007Discrete-time approximation of decoupled Forward–Backward SDE with jumps140 cited
  • 2006A forward–backward stochastic algorithm for quasi-linear PDEs136 cited
  • 2006Numerical Algorithms for Forward-Backward Stochastic Differential Equations111 cited
  • 2001Donsker-Type Theorem for BSDEs108 cited
  • 2014New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations107 cited
  • 2006Time discretization and Markovian iteration for coupled FBSDEs106 cited
  • 2010A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations95 cited
  • 2005

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On some recent aspects of stochastic control and their applications
92 cited
  • 2012Least-Squares Monte Carlo for Backward SDEs85 cited
  • 1999Linear ForwardBackward Stochastic Differential Equations84 cited
  • 2008Time discretization and Markovian iteration for coupled FBSDEs84 cited
  • 2015BSDE, path-dependent PDE and nonlinear Feynman-Kac formula83 cited
  • 2008On Numerical Approximations of Forward-Backward Stochastic Differential Equations73 cited
  • 2009Error estimates of the $\theta$-scheme for backward stochastic differentialequations58 cited