Padé approximants method and its applications to mechanics
著者
書誌事項
Padé approximants method and its applications to mechanics
(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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