Continuous-Time Random Walks for the Numerical Solution of Stochastic Differential Equations: November 2018 (Memoirs of the American Mathematical Society) - Softcover

Bou-rabee, Nawaf; Vanden-eijnden, Eric

Softcover

ISBN 10: 1470431815 ISBN 13: 9781470431815

Publisher: Amer Mathematical Society, 2018

Synopsis

This paper introduces time-continuous numerical schemes to simulate stochastic differential equations (SDEs) arising in mathematical finance, population dynamics, chemical kinetics, epidemiology, biophysics, and polymeric fluids. These schemes are obtained by spatially discretizing the Kolmogorov equation associated with the SDE in such a way that the resulting semi-discrete equation generates a Markov jump process that can be realized exactly using a Monte Carlo method. In this construction the jump size of the approximation can be bounded uniformly in space, which often guarantees that the schemes are numerically stable for both finite and long time simulation of SDEs.

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 2018
• Language: English
• ISBN 10: 1470431815
• ISBN 13: 9781470431815
• Binding: Paperback
• Number of pages: 124