A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineering

  • Alireza R. Baghai-Wadji
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2630)


In this contribution we conjecture that systems of linearized Partial Differential Equations, viewed as consistent models for physically realizable systems, are diagonalizable. While this property is interesting for its own sake, our discussion will focus on technicalities and implications for advanced accelerated computing. We will demonstrate that diagonalization with respect to a chosen spatial coordinate systematically “reshuffles” the original PDEs and creates equivalent differential forms. It turns out that diagonalization automatically distinguishes the variables in the interface- and boundary conditions defined on surfaces normal to the diagonalization direction.


Linear PDEs Proper Rotation Impedance Matrice Diagonalization Direction Magnetostatic Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Alireza R. Baghai-Wadji
    • 1
  1. 1.Vienna University of TechnologyViennaAustria

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