The Numerical Properties of G-heat equation and Related Application
Numerical Analysis
2013-10-11 v2
Abstract
In this paper, we consider the numerical convergence of G-heat equation which was first introduced by Peng. The G-heat equation extends the classical heat equation with uncertain volatility. For G-heat equation is nonlinear partial differential equation(PDE), we prove that the Newton iteration is convergence and the fully implicit discretization is monotone and stable. Then, we have the fully implicit discretization convergence to the viscosity solution of a G-heat equation.
Keywords
Cite
@article{arxiv.1304.1599,
title = {The Numerical Properties of G-heat equation and Related Application},
author = {Xiaolin Gong and Shuzhen Yang},
journal= {arXiv preprint arXiv:1304.1599},
year = {2013}
}