This volume contains invited papers presented at the 15th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee in June of 1993. The Dundee Conferences are important events in the numerical analysis calendar, and the papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations.

Universite de Paris. State University of New York at Stony Brook. University of Newcastle upon Tyne (Founding Editor).

J.W. Barrett & Wenbin Liu: Finite Element Approximation of Degenerate Quasilinear Elliptic and Parabolic Problems -- R.K. Beatson & M.J.D. Powell: An Iterative Method for Thin Plate Spline Interpolation that Employs Approximations to Lagrange Functions -- I.S. Duff: The Solution of Augmented Systems -- C.M. E lliott & A.R. Gardiner: One Dimensional Phase Field Computations -- J. de Frutos & J.M. Sanz-Serna: Erring and being Conservative -- P.E. Gill, W. Murray, D.B. Poncele6n & M. A. Saunders: Solving Reduced KKT Systems in Barrier Methods for Linear Programming -- G.H. G olub & Gerard Meurant: Matrices, Moments and Quadrature -- J. G roeneweg & M.N. Spijker: On the Error due to the Stopping of the Newton Iteration in Implicit Linear Multistep Methods -- D.J. H igham: The Dynamics of a Discretised Nonlinear Delay Differential Equation -- A.R. Humphries, D.A. J ones & A.M. Stuart: Approximation of Dissipative Partial Differential Equations over Long Time Intervals -- N.K. N ichols: Differential-Algebraic Equations and Control System Design -- G.W.Stewart: UTV Decompositions -- M.J. Todd: A Lower Bound on the Number of Iterations of an Interior-Point Algorithm for Linear Programming -- P. Townsend & M. F. Webster: Computational Analysis in Rheological Flow Problems -- List of Contributed Talks.