Picture of flying drone

Award-winning sensor signal processing research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers involved in award-winning research into technology for detecting drones. - but also other internationally significant research from within the Department of Electronic & Electrical Engineering.

Strathprints also exposes world leading research from the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

An algorithmic introduction to numerical simulation of stochastic differential equations

Higham, D.J. (2001) An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Review, 43 (3). pp. 525-546. ISSN 0036-1445

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential equations and to have at least an intuitive feel for the concept of a random variable; however, no knowledge of advanced probability theory or stochastic processes is assumed. The article is built around $10$ MATLAB programs, and the topics covered include stochastic integration, the Euler--Maruyama method, Milstein's method, strong and weak convergence, linear stability, and the stochastic chain rule.