Home > Publications
Home University of Twente
Prospective Students
Intranet (internal)

EEMCS EPrints Service

22295 A short guide to exponential Krylov subspace time integration for Maxwell's equations
Home Policy Brochure Browse Search User Area Contact Help

Botchev, M.A. (2012) A short guide to exponential Krylov subspace time integration for Maxwell's equations. Memorandum 1992, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

Full text available as:


274 Kb
Zip (MATLAB codes)

291 Kb
Open Access

Official URL:

Exported to Metis


The exponential time integration, i.e., time integration which involves the matrix exponential, is an attractive tool for solving Maxwell's equations in time. However, its application in practice often requires a substantial knowledge of numerical linear algebra algorithms, in particular, of the Krylov subspace methods. This note provides a brief guide on how to apply exponential Krylov subspace time integration in practice. Although we consider Maxwell's equations, the guide can readily be used for other similar time-dependent problems. In particular, we discuss in detail the Arnoldi shift-and-invert method combined with recently introduced residual-based stopping criterion.

Two of the algorithms described here are available as MATLAB codes and can be downloaded from the website \url{} together with this note.

Item Type:Internal Report (Memorandum)
Research Group:EWI-MACS: Mathematics of Computational Science
Research Program:MESA-APS: Advanced Photonic Structures
Research Project:BRICKS/MSV1: Scientific computing
Uncontrolled Keywords:Matrix exponential, Maxwell’s equations, Krylov subspace methods, Exponential time integration, Shift-and-invert, Stopping criterion
ID Code:22295
Deposited On:28 September 2012
More Information:statisticsmetis

Export this item as:

To correct this item please ask your editor

Repository Staff Only: edit this item