Title
The Forward-Backward Stochastic Heat Equation: Numerical Analysis and Simulation.
Abstract
We prove strong convergence with optimal rates for a spatial discretization of the backward stochastic heat equation, and the forward-backward stochastic heat equation from stochastic optimal control. A full discretization based on the implicit Euler method for a temporal discretization and a least squares Monte Carlo method in combination with the new stochastic gradient method are then proposed, and simulation results are reported.
Year
Venue
Field
2016
SIAM J. Scientific Computing
Discretization,Mathematical optimization,Stochastic optimization,Temporal discretization,Mathematical analysis,Stochastic differential equation,Heat equation,Stochastic partial differential equation,Backward Euler method,Mathematics,Stochastic control
DocType
Volume
Issue
Journal
38
5
Citations 
PageRank 
References 
1
0.87
0
Authors
2
Name
Order
Citations
PageRank
Thomas Dunst131.88
Andreas Prohl230267.29