English

Instabilities of Super-Time-Stepping Methods on the Heston Stochastic Volatility Model

Computational Finance 2023-09-04 v1 Numerical Analysis Numerical Analysis

Abstract

This note explores in more details instabilities of explicit super-time-stepping schemes, such as the Runge-Kutta-Chebyshev or Runge-Kutta-Legendre schemes, noticed in the litterature, when applied to the Heston stochastic volatility model. The stability remarks are relevant beyond the scope of super-time-stepping schemes.

Keywords

Cite

@article{arxiv.2309.00540,
  title  = {Instabilities of Super-Time-Stepping Methods on the Heston Stochastic Volatility Model},
  author = {Fabien Le Floc'h},
  journal= {arXiv preprint arXiv:2309.00540},
  year   = {2023}
}