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A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations

Applications to the Completely Reducible Case of the Cauchy Problem with Constant Coefficients
  • Markus Rosenkranz
  • Nalina Phisanbut
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8136)

Abstract

We introduce a general algebraic setting for describing linear boundary problems in a symbolic computation context, with emphasis on the case of partial differential equations. The general setting is then applied to the Cauchy problem for completely reducible partial differential equations with constant coefficients. While we concentrate on the theoretical features in this paper, the underlying operator ring is implemented and provides a sufficient basis for all methods presented here.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Markus Rosenkranz
    • 1
  • Nalina Phisanbut
    • 1
  1. 1.University of KentCanterburyUnited Kingdom

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