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The Use of Intrinsic Properties of Physical System for Derivation of High-Performance Computational Algorithms

  • Alexander V. Bogdanov
  • Elena N. Stankova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2110)

Abstract

We discuss some new approach for derivation of computational algorithms for certain types of evolution equations. The main idea of the algorithm is to make functional transformation of variables on the base of symmetry properties of pertinent physical system to make it quasi-diagonal. The approach is illustrated with the help of two important examples - the scattering in molecular system with elementary chemical reactions and the system of chemical kinetics for the many components system. The use of proposed approach show substantial speed-up over the standard algorithms and seems to be more effective with the increase of the size of the problem.

Keywords

High Performance Computing Elementary Chemical Reaction Nozzle Flow Asymptotical Boundary Condition Functional Transformation 
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

  • Alexander V. Bogdanov
  • Elena N. Stankova
    • 1
  1. 1.Institute for High Performance Computing and Data BasesSt-PetersburghRussia

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