Numerical and Computational Challenges
in Science and Engineering Program
Kevin Burrage
Department of Mathematics, University of Queensland
LECTURE
Friday, March 15, 2002, 11:00 am
Audio of Talk
Photographs
An Overview of Numerical Methods for Stochastic Differential
Equations
In this talk, I will give an overview of some of the issues
involved in designing and implementing numerical methods for the numerical
solution of stochastic differential equations. Topics covered will include
1. Applications:
Financial Models - Stock, Energy markets
Computational Biology - DNA models, protein motors
2. Fundamentals of SDEs
3. Numerical Methods:weak order, strong order, Taylor series approximations
4. Stochastic Runge-Kutta methods:explicit, implicit, waveform relaxation,
Magnus methods
5. Implementation issues
Photographs
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