New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations

From MaRDI portal
Publication:2930007

DOI10.1137/130941274zbMath1316.65014arXiv1310.5307OpenAlexW1980091117MaRDI QIDQ2930007

Tao Zhou, Yu Fu, Weidong Zhao

Publication date: 17 November 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5307




Related Items

Two-Step Scheme for Backward Stochastic Differential EquationsConvergence error estimates of the Crank-Nicolson scheme for solving decoupled FBSDEsEfficient spectral sparse grid approximations for solving multi-dimensional forward backward sdesSinc-Multistep Schemes for Forward Backward Stochastic Differential EquationsExplicit multistep stochastic characteristic approximation methods for forward backward stochastic differential equationsDiscretization of a distributed optimal control problem with a stochastic parabolic equation driven by multiplicative noiseA Feynman-Kac based numerical method for the exit time probability of a class of transport problemsMultistep schemes for solving backward stochastic differential equations on GPUGradient boosting-based numerical methods for high-dimensional backward stochastic differential equationsNumerical simulations for \(G\)-Brownian motionAn Explicit Multistep Scheme for Mean-Field Forward-Backward Stochastic Differential EquationsOn the homotopy analysis method for backward/forward-backward stochastic differential equationsSinc-$\theta$ Schemes for Backward Stochastic Differential EquationsAn explicit second-order numerical scheme for mean-field forward backward stochastic differential equationsStochastic maximum principle for hybrid optimal control problems under partial observationControl of time-varying systems based on forward Riccati formulation in hybrid functions domainStrong stability preserving multistep schemes for forward backward stochastic differential equationsA stochastic maximum principle approach for reinforcement learning with parameterized environmentNumerical schemes for fully coupled mean-field forward backward stochastic differential equationsA Sample-Wise Data Driven Control Solver for the Stochastic Optimal Control Problem with Unknown Model ParametersAn Efficient Gradient Projection Method for Stochastic Optimal Control ProblemsNumerical methods for backward stochastic differential equations: a surveyRenewable composite quantile method and algorithm for nonparametric models with streaming dataODE-Based Multistep Schemes for Backward Stochastic Differential EquationsSequential propagation of chaos for mean-field BSDE systemsDeep learning algorithms for solving high-dimensional nonlinear backward stochastic differential equationsAn efficient third-order scheme for BSDEs based on nonequidistant difference schemeOptimal Error Estimates for a Fully Discrete Euler Scheme for Decoupled Forward Backward Stochastic Differential EquationsOvercoming the curse of dimensionality in the numerical approximation of backward stochastic differential equationsAn overview on deep learning-based approximation methods for partial differential equationsConvergence of Recent Multistep Schemes for a Forward-Backward Stochastic Differential EquationPrediction-Correction Scheme for Decoupled Forward Backward Stochastic Differential Equations with JumpsA Unified Probabilistic Discretization Scheme for FBSDEs: Stability, Consistency, and Convergence AnalysisExplicit theta-Schemes for Mean-Field Backward Stochastic Differential EquationsGeneral linear forward and backward stochastic difference equations with applicationsAn efficient numerical algorithm for solving data driven feedback control problemsA Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential EquationsFinite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error EstimatesExplicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential EquationsHigh Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal ControlImproved error bounds for quantization based numerical schemes for BSDE and nonlinear filteringA Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering ProblemsMultistep schemes for forward backward stochastic differential equations with jumpsHigh-order combined multi-step scheme for solving forward backward stochastic differential equationsAn efficient numerical method for forward-backward stochastic differential equations driven by \(G\)-Brownian motionA multi-step scheme based on cubic spline for solving backward stochastic differential equationsExplicit deferred correction methods for second-order forward backward stochastic differential equationsData informed solution estimation for forward-backward stochastic differential equationsHigh order one-step methods for backward stochastic differential equations via Itô-Taylor expansion