English

Adapted time steps explicit scheme for monotone BSDEs

Numerical Analysis 2016-12-02 v1

Abstract

We study the numerical strong stability of explicit schemes for the numerical approximation of the solution to a BSDE where the driver has polynomial growth in the primary variable and satisfies a monotone decreasing condition, and we introduce an explicit scheme with adapted time-steps that guarantee numerical strong stability. We then prove the convergence of this scheme and illustrate it with numerical simulations.

Keywords

Cite

@article{arxiv.1612.00077,
  title  = {Adapted time steps explicit scheme for monotone BSDEs},
  author = {Arnaud Lionnet},
  journal= {arXiv preprint arXiv:1612.00077},
  year   = {2016}
}

Comments

31 pages

R2 v1 2026-06-22T17:10:07.824Z