On the speed of convergence of Picard iterations of backward stochastic differential equations
DOI10.3934/puqr.2022009zbMath1493.60091arXiv2107.01840OpenAlexW3180698388MaRDI QIDQ2165738
Thomas Kruse, Martin Hutzenthaler, Tuan Anh Nguyen
Publication date: 22 August 2022
Published in: Probability, Uncertainty and Quantitative Risk (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01840
a priori estimatebackward stochastic differential equationPicard iterationsemilinear parabolic partial differential equation
Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
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Cites Work
- Simulation of BSDEs with jumps by Wiener chaos expansion
- Adapted solution of a backward stochastic differential equation
- On the Burkholder-Davis-Gundy inequalities for continuous martingales
- Continuous-time stochastic control and optimization with financial applications
- Stochastic differential equations. An introduction with applications
- Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations
- Multilevel Picard iterations for solving smooth semilinear parabolic heat equations
- Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities
- On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations
- Stochastic differential equations, backward SDEs, partial differential equations
- Simulation of BSDEs by Wiener chaos expansion
- A forward scheme for backward SDEs
- Time discretization and Markovian iteration for coupled FBSDEs
- Solving BSDE with Adaptive Control Variate
- Backward Stochastic Differential Equations in Finance
- A parallel algorithm for solving BSDEs
- Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations
- Backward Stochastic Differential Equations
- Stochastic Equations in Infinite Dimensions
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