Informal Applied and Numerical Analysis Seminars:

The last few years have seen major earthquakes cause mass devastation across the world from both the actual tremors to resulting tsunamis. Although nothing can be done to stop earthquakes an understanding of the deformations involved can help minimise their destruction.

In this talk I shall give an overview of geophysicists' current theory of the mechanisms involved and then derive the general solution for the velocity field within the tectonic plate. I shall then give an introduction to the mechanics of granular materials and how this shall be used to model the fault material and its coupling to the tectonic plates.

A stochastic differential equation (SDE) is an equation of the form

dX(t) = f(X(t)) dt + g(X(t)) dW(t),

where W(t) is a Wiener process (aka Brownian motion). Numerical schemes for solving SDEs are similar to those for ODEs but the noise term g(X(t)) dW(t) adds extra complexity. In this talk I will be introducing some of the tools required to study SDEs and solve them numerically.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.

Abstract will appear here.