English

Wong-Zakai approximations with convergence rate for stochastic partial differential equations

Probability 2025-11-21 v1 Numerical Analysis Numerical Analysis

Abstract

The goal of this paper is to prove a convergence rate for Wong-Zakai approximations of semilinear stochastic partial differential equations driven by a finite dimensional Brownian motion. Several examples, including the HJMM equation from mathematical finance, illustrate our result.

Keywords

Cite

@article{arxiv.1907.06202,
  title  = {Wong-Zakai approximations with convergence rate for stochastic partial differential equations},
  author = {Toshiyuki Nakayama and Stefan Tappe},
  journal= {arXiv preprint arXiv:1907.06202},
  year   = {2025}
}

Comments

25 pages