Numerical Analysis [electronic resource] : Proceedings of the 8th Biennial Conference Held at Dundee, Scotland, June 26–29, 1979 / edited by G. Alistair Watson.

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.