English

Novel multi-step predictor-corrector schemes for backward stochastic differential equations

Numerical Analysis 2021-02-12 v1 Numerical Analysis

Abstract

Novel multi-step predictor-corrector numerical schemes have been derived for approximating decoupled forward-backward stochastic differential equations (FBSDEs). The stability and high order rate of convergence of the schemes are rigorously proved. We also present a sufficient and necessary condition for the stability of the schemes. Numerical experiments are given to illustrate the stability and convergence rates of the proposed methods.

Keywords

Cite

@article{arxiv.2102.05915,
  title  = {Novel multi-step predictor-corrector schemes for backward stochastic differential equations},
  author = {Qiang Han and Shaolin Ji},
  journal= {arXiv preprint arXiv:2102.05915},
  year   = {2021}
}
R2 v1 2026-06-23T23:03:48.679Z