Numerical analysis : proceedings of the 8th biennial conference held at Dundee, Scotland, June 26-29, 1979

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Numerical analysis : proceedings of the 8th biennial conference held at Dundee, Scotland, June 26-29, 1979

edited by G.A. Watson

(Lecture notes in mathematics, 773)

Springer-Verlag, 1980

  • : Berlin
  • : New York

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Includes bibliographical references

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Table of Contents

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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