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Padé Approximants Method and Its Applications to Mechanics

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Author(s): George A. Baker Jr. (auth.), Prof. Henri Cabannes (eds.)
Series: Lecture Notes in Physics 47
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1976

Language: English
Pages: 270
Tags: Engineering, general

The linear, functional equation approach to the problem of the convergence of Padé approximants....Pages 3-15
Construction of variational bounds for the N-body eigenstate problem by the method of Pade approximations....Pages 17-31
Rational polynomial approximants in N variables....Pages 33-54
Convergence of rows of the Pade table....Pages 55-68
The use of Pade approximation in numerical integration....Pages 69-77
Determination of shock waves by convergence acceleration....Pages 81-100
Cyclic iterative method applied to transonic flow analyses....Pages 101-121
A technique for accelerating iterative convergence in numerical integration, with application in transonic aerodynamics....Pages 123-139
The rise of a bubble in a fluid....Pages 141-163
Rational approximations to the solution of the blunt-body & related problems....Pages 165-188
Wave front expansions and Pade' approximants for transient waves in linear dispersive media....Pages 189-207
Application of methods for acceleration of convergence to the calculation of singularities of transonic flows....Pages 209-223
The use of Pade fractions in the calculation of nozzle flows....Pages 225-242
A bibliography on Pade approximation and some related matters....Pages 245-267