Ki Wai Chau, Cornelis W. Oosterlee
Published 2016-11-09Version 1
We propose a numerical algorithm for backward stochastic differential equations based on time discretization and trigonometric wavelets. This method combines the effectiveness of Fourier-based methods and the simplicity of a wavelet-based formula, resulting in an algorithm that is both accurate and easy to implement. Furthermore, we mitigate the problem of errors near the computation boundaries by means of an antireflective boundary technique, giving an improved approximation. We test our algorithm with different numerical experiments.
Adapted $θ$-Scheme and Its Error Estimates for Backward Stochastic Differential Equations
The effect of time discretization on the solution of parabolic PDEs with ANNs
Stochastic grid bundling method for backward stochastic differential equations
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