Title :
Proper Combination of Integrators and Interpolators for Stable Marching-on-in-Time Schemes
Author :
Geranmayeh, A. ; Ackermann, W. ; Weiland, T.
Author_Institution :
Tech. Univ. Darmstadt, Darmstadt
Abstract :
Mathematicians have proven that few specific collocation methods provide stable numerical solution for the delay differential equations provided the accuracy order of the finite difference approximation matches to that of the temporal interpolation. To adjoin this important conclusion to the development of stable time-domain field integral equation-based solvers, this paper investigates the impact of diverse proposed interpolators over conveniently usable integrators.
Keywords :
computational electromagnetics; differential equations; interpolation; collocation methods; delay differential equations; integrators; interpolators; marching-on-in-time schemes; time-domain field integral equation; Delay effects; Differential equations; Electric potential; Finite difference methods; Fluctuations; Integral equations; Interpolation; Moment methods; Stability analysis; Time domain analysis;
Conference_Titel :
Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4244-0766-8
Electronic_ISBN :
978-1-4244-0767-5
DOI :
10.1109/ICEAA.2007.4387462
