Application of Krylov Exponential Propagation to Uid Dynamics Equations

In this paper we present an application of matrix exponentiation via Krylov sub-space projection, to the solution of uid dynamics problems. The main idea is to approximate the operation exp(A)v by means of a projection-like process onto a Krylov subspace. This results in a computation of an exponential matrix vector product similar to the one above but of a much smaller size. Time integration schemes can then be devised to exploit this basic computational kernel. The motivation of this approach is to provide time-integration schemes that are essentially of an explicit nature but which have good stability properties.