Padé Approximants Method and Its Applications to Mechanics
Published on 1. February 1976
Book
Paperback/Softback
XV, 270 pages
978-3-540-07614-8 (ISBN)
Description
The linear, functional equation approach to the problem of the convergence of Padé 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.
More details
Series
Edition
1976 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
3 s/w Abbildungen
XV, 270 p. 3 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 16 mm
Weight
508 gr
ISBN-13
978-3-540-07614-8 (9783540076148)
DOI
10.1007/BFb0015655
Schweitzer Classification
Content
The linear, functional equation approach to the problem of the convergence of Padé 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.