Stability of central finite difference schemes for the Heston PDE

Details Stability of central finite difference schemes for the Heston PDE Stability of central finite difference schemes for the Heston PDE

2010-11-30

arxiv.org/abs/1011.6532v1

Economy

Quantitative Finance

Computational Finance

Scientific paper

This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete systems with non-normal matrices A. By employing the logarithmic spectral norm we prove practical, rigorous stability bounds. Our theoretical stability results are illustrated by ample numerical experiments.

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