Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642960 | Journal of Computational and Applied Mathematics | 2007 | 15 Pages |
Abstract
Some recent work on the ADI-FDTD method for solving Maxwell's equations in 3-D have brought out the importance of extrapolation methods for the time stepping of wave equations. Such extrapolation methods have previously been used for the solution of ODEs. The present context (of wave equations) brings up two main questions which have not been addressed previously: (1) when will extrapolation in time of an unconditionally stable scheme for a wave equation again feature unconditional stability, and (2) how will the accuracy and computational efficiency depend on how frequently in time the extrapolations are carried out. We analyze these issues here.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bengt Fornberg, Julia Zuev, Jongwoo Lee,