Padé approximants method and its applications to mechanics

書誌事項

Padé approximants method and its applications to mechanics

edited by H. Cabannes

(Lecture notes in physics, 47)

Springer-Verlag, 1976

  • : Berlin
  • : New York

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注記

Bibliography: p. [245]-267

内容説明・目次

目次

The linear, functional equation approach to the problem of the convergence of Pade approximants.- Construction of variational bounds for the N-body eigenstate problem by the method of Pade approximations.- Rational polynomial approximants in N variables.- Convergence of rows of the Pade table.- The use of Pade approximation in numerical integration.- Determination of shock waves by convergence acceleration.- Cyclic iterative method applied to transonic flow analyses.- A technique for accelerating iterative convergence in numerical integration, with application in transonic aerodynamics.- The rise of a bubble in a fluid.- Rational approximations to the solution of the blunt-body & related problems.- Wave front expansions and Pade' approximants for transient waves in linear dispersive media.- Application of methods for acceleration of convergence to the calculation of singularities of transonic flows.- The use of Pade fractions in the calculation of nozzle flows.- A bibliography on Pade approximation and some related matters.

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