The Method of the Hypercircle

  • J. L. Nowinski
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 22)


The method of the hypercircle, initiated by Prager and Synge in 1947(77) for approximating solution of boundary value problems of mathematical physics, translates the analytical content of a problem into the language of function space, thereafter studying the problem in geometric terms. Although the fundamental relations of the method turn out to follow almost directly from the Cauchy-Schwarz and Bessel inequalities, the remarkable pictorial merits of the method make it a useful instrument for the approximate solution of concrete problems. Our exposition is based on Refs. 40 and 77.


Exact Solution Equilibrium Equation Position Vector Space Origin Elastic State 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • J. L. Nowinski
    • 1
  1. 1.University of DelawareNewarkUSA

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