Numerical Analysis

Proceedings of the 8th Biennial Conference Held at Dundee, Scotland, June 26-29, 1979
Herausgegeben:Watson, G. A.

• Broschiertes Buch

Produktbeschreibung

A generalized conjugate direction method and its application on a singular perturbation problem.- Some implementation schemes for implicit Runge-Kutta methods.- Best approximation in tensor product spaces.- Monotonicity and free boundary value problems.- Computing eigenvectors (and eigenvalues) of large, symmetric matrices using Lanczos tridiagonalization.- Horizontal line analysis of the multidimensional porous medium equation: Existence, rate of convergence and maximum principles.- Numerical methods for phase-plane problems in ordinary differential equations.- On the use of exact penalty functions to determine step length in optimization algorithms.- Petrov-Galerkin methods for non-self-adjoint problems.- Collocation and perturbed collocation methods.- Modular analysis of numerical software.- The numerical solution of turbulent flow problems in general geometry.- The rate of convergence of a multiple grid method.

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Produktdetails

• Lecture Notes in Mathematics 773
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09740-2
• 1980
• Seitenzahl: 200
• Erscheinungstermin: 1. Februar 1980
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 330g
• ISBN-13: 9783540097402
• ISBN-10: 3540097406
• Artikelnr.: 23568608

Inhaltsangabe

A generalized conjugate direction method and its application on a singular perturbation problem.- Some implementation schemes for implicit Runge-Kutta methods.- Best approximation in tensor product spaces.- Monotonicity and free boundary value problems.- Computing eigenvectors (and eigenvalues) of large, symmetric matrices using Lanczos tridiagonalization.- Horizontal line analysis of the multidimensional porous medium equation: Existence, rate of convergence and maximum principles.- Numerical methods for phase-plane problems in ordinary differential equations.- On the use of exact penalty functions to determine step length in optimization algorithms.- Petrov-Galerkin methods for non-self-adjoint problems.- Collocation and perturbed collocation methods.- Modular analysis of numerical software.- The numerical solution of turbulent flow problems in general geometry.- The rate of convergence of a multiple grid method.