Numerical Analysis: Proceedings of the 8th Biennial Conference Held at Dundee, Scotland, June 26–29, 1979

Description

A generalized conjugate direction method and its application on a singular perturbation problem....Pages 1-11 Some implementation schemes for implicit Runge-Kutta methods....Pages 12-24 Best approximation in tensor product spaces....Pages 25-32 Monotonicity and free boundary value problems....Pages 33-45 Computing eigenvectors (and eigenvalues) of large, symmetric matrices using Lanczos tridiagonalization....Pages 46-63 Horizontal line analysis of the multidimensional porous medium equation: Existence, rate of convergence and maximum principles....Pages 64-82 Numerical methods for phase-plane problems in ordinary differential equations....Pages 83-97 On the use of exact penalty functions to determine step length in optimization algorithms....Pages 98-109 Petrov-Galerkin methods for non-self-adjoint problems....Pages 110-118 Collocation and perturbed collocation methods....Pages 119-132 Modular analysis of numerical software....Pages 133-145 The numerical solution of turbulent flow problems in general geometry....Pages 146-163 The rate of convergence of a multiple grid method....Pages 164-184