Some initial-boundary value problems

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 8 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 265-301 from Springer

Abstract: Abstract In this chapter we will study initial-boundary value problems and their treatment by methods of quaternionic analysis in combination with classical analytic numerical techniques. We start with a brief discussion of strategies for the treatment of time-dependent parabolic problems. Three methods should be considered here: the horizontal method of lines, better known as the Rothe method, the Witt basis approach, and the harmonic extension method. The studies of parabolic problems go back to the pioneering work of Jean Joseph Fourier on heat propagation in an ideal bar in the first two decades of the 19th century.

Keywords: Dirac Operator; Burger Equation; Parabolic Problem; Bergman Projection; Quaternionic Analysis (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0964-1_8

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DOI: 10.1007/978-3-0348-0964-1_8

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