Quaternionic analysis and Maxwell‘s equations
- 
							
								
							
								Wolfgang Spr¨ossig
							
							
															
									
									
									sproessig@math.tu-freiberg.de
									
								
													
							
						 
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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.
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