Will Wright.

Title: Exponential integrators using Krylov subspace approximations

Abstract:
In this talk we will discuss the class of integration methods known
as exponential integrators.  Exponential integrators are constructed
for the time integration of large systems of differential equations,
typically arising from spatially discretized partial differential
equations. In this talk we will briefly discuss the different types of
exponential integrators and some interesting observations. We will
then focus on the efficient implementation of the two main types of
exponential integrators, those which use the exact Jacobian or an
approximation to the Jacobian. Some numerical experiments on large
scale problems with the \textsc{matlab} implementations
\texttt{ode15s} and \texttt{radau5} and the exponential integrator
\texttt{exp4} will be given.