Computing and Visualization in Science

, Volume 4, Issue 1, pp 1–8 | Cite as

Expression templates for partial differential equations

  • Christoph Pflaum
Regular article


The implementation of numerical algorithms for solving partial differential equations costs a lot of time and the optimization of such codes is difficult. These problems can be reduced by expression templates for partial differential equations. Using this concept, one can implement numerical algorithms for PDE’s in a language which is close to the mathematical language. Expression templates give the compiler global informations on an expression such that the optimization of the code can be left to the compiler. Numerical results for the Stokes operator on general domains in 3D are presented.


Differential Equation Partial Differential Equation Numerical Algorithm Global Information General Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Christoph Pflaum
    • 1
  1. 1.Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Germany (e-mail:

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