Quaternionic analysis and Maxwell‘s equations

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Abstract

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.

Keywords

Maxwell equations , quaternionic analysis , operator calculus
  • Wolfgang Spr¨ossig Institute of Applied Analysis TU Bergakademie Freiberg Pr¨ufer-Strasse 9 09596 Freiberg, Germany.
  • Pages: 57 - 67
  • Date Published: 2005-08-01
  • Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

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Published

2005-08-01

How to Cite

[1]
W. Spr¨ossig, “Quaternionic analysis and Maxwell‘s equations”, CUBO, vol. 7, no. 2, pp. 57–67, Aug. 2005.

Issue

Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

Section

Articles