Methods of quaternionic analysis are used to obtain solutions of Maxwell’ s equations. By the help of time-discretisation Maxwell’s equations are reduced to an equation of Yukawa type. Initial value and boundary value conditions are realized by a representation formula in each time step. Approximation and stability is proved.
@article{1542,
title = {Quaternionic analysis and Maxwell's equations},
journal = {CUBO, A Mathematical Journal},
volume = {7},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/1542}
}
Spr¨ossig, Wolfgang. Quaternionic analysis and Maxwell’s equations. CUBO, A Mathematical Journal, Tome 7 (2005) 11 p. http://gdmltest.u-ga.fr/item/1542/