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Journal of Engineering Mathematics

, Volume 7, Issue 1, pp 39–61 | Cite as

On the computation of Mathieu functions

  • The Group “Numerical Analysis” at Delft University of Technology
Article

Summary

The aim of this paper is to propose a fast numerical method for the computation of Mathieu functions. These functions can be used to solve the (reduced) wave equation on an elliptic domain in two space dimensions. In the first part of this paper the theoretical background of the method is discussed, while in the second part the algol procedures are presented.

Keywords

Mathematical Modeling Wave Equation Industrial Mathematic Theoretical Background Space Dimension 
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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References

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    N. W. McLachlan,Theory and applications of Mathieu functions, Clarendon Press, Oxford, England, 1947.Google Scholar
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    M. Abramowitz and I. Stegun, Handbook of Mathematical Functions N.B.S.,Applied Mathematical Series 55, U. S. Government Printing Office, Washington D.C., 1964.Google Scholar
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    G. Blanch, Numerical evaluation of continued fractions,Siam Review 6, p. 383, 1964.Google Scholar
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    D. J. Green and S. Michaelson, Series solution of certain Sturm Liouville eigenvalue problems,The Computer Journal 7, p. 322, 1965.Google Scholar
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    J. H. Wilkinson,The algebraic eigenvalue problem, 1965.Google Scholar
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    Mathematical tables 5, tables 12 and 14, p. 31 and 33.Google Scholar
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    J. H. Wilkinson, Rigorous error bounds for computed eigensystems.The Computer Journal 4, p. 230.Google Scholar

Copyright information

© Noordhoff International Publishing 1973

Authors and Affiliations

  • The Group “Numerical Analysis” at Delft University of Technology
    • 1
  1. 1.Dept. of MathematicsDelft University of TechnologyDelftThe Netherlands

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