Variance reduction for numerical solutions of stochastic differential equations

Xiang Long, Purdue University

Abstract

We give a variance reduction method evaluating for numerical SDEs. The reduction of variance is explicitly given and can be achieved without extra overhead asymptotically. The method is general in the sense that it works for Non-Markovian continuous SDEs as well as for SDEs driven by Lévy processes. Some numerical examples are also given.

Degree

Ph.D.

Advisors

Protter, Purdue University.

Subject Area

Mathematics

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