We study the numerical time integration of Maxwell's equations from electromagnetism. Following the method of lines approach we start from a general semi-discrete Maxwell system for which a number of time-integration methods are considered. These methods have in common an explicit treatment of the curl terms. Central in our investigation is the question how to efficiently raise the temporal convergence order beyond the standard order of two, in particular in the presence of an explicitly or implicitly treated damping term which models conduction.
Additional Metadata
Keywords Maxwell's equations, numerical time integration
ACM Ordinary Differential Equations (acm G.1.7), Partial Differential Equations (acm G.1.8)
MSC Initial value problems (msc 65L05), Stability and convergence of numerical methods (msc 65L20), Stability and convergence of numerical methods (msc 65M12), Method of lines (msc 65M20)
Publisher CWI
Series Modelling, Analysis and Simulation [MAS]
Botchev, M.A, & Verwer, J.G. (2008). Numerical Integration of Damped Maxwell Equations. Modelling, Analysis and Simulation [MAS]. CWI.