2000 character limit reached
Novel multi-step predictor-corrector schemes for backward stochastic differential equations (2102.05915v1)
Published 11 Feb 2021 in math.NA and cs.NA
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.