Padé Approximants Method and Its Applications to Mechanics

Inhaltsverzeichnis

• 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.