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Padé approximants method and its applications to mechanics

Author: Henri Cabannes
Publisher: Berlin ; New York : Springer-Verlag, 1976.
Series: Lecture notes in physics, 47.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Henri Cabannes
ISBN: 038707614X 9780387076140 354007614X 9783540076148
OCLC Number: 1993238
Description: xiii, 267 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Lecture notes in physics, 47.
Responsibility: edited by H. Cabannes.

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