Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction (Q975153)

The paper presents a new algorithm for the solution of the time domain Maxwell equations in dispersive media. The algorithm is based on the parameter-dependent Krylov subspace reduction with proper choice of subspace parameters. It is a generalization of the rational Krylov subspace approach for the solution of the non-dispersive diffusion problem. As an example, the 3D quasistationary induced polarization problem with the Cole-Cole conductivity model important for geophysical oil exploration is considered.