Contributions of Mathematical Analysis to the Numerical Solution of Partial Differential Equations

In early February 1984 the Centre for Mathematical Analysis at the Australian National University sponsored a seminar on the contribution of mathematical analysis to the numerical solution of partial differential equations. The seminar was held at Merimbula, N.S.W.

TABLE OF CONTENTS -- Miscellaneous front matter -- The role of analysis in the solution of partial differential equations -- On the choice of coordinate functions -- Sinc methods of approximate solution of partrial differential equations -- Computational implementations of the Dorodnitsyn boundary layer formulation -- The factorization method for two boundary value problems for ODE's and its relation to the finite difference method -- Problems with different time scales -- Analysis of explicit finite difference methods used in computational fluid mechanics -- The method of lines: theory, software and some applications -- Nonconforming elements, patch tests and inter-element constraints -- A non-standard post-processing technique in the finite element method -- The boundary integral method for PDE's -- Corner singularities and boundary integral equations.