Contains invited papers from leading international experts in the field

Provides a valuable guide to the direction of current research in many areas of numerical analysis

Covers areas from ordinary and partial differential equations to linear algebra and approximation theory

Includes applications to optimization, fluid dynamics, and acoustics

Of considerable importance to numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis, featuring eminent analysts and current topics. The papers cover everything from partial differential equations to linear algebra and approximation theory and contain contributions from the leading experts in the field. The applications range from image processing and molecular dynamics to superconductivity.

If you rely on numerical methods, Numerical Analysis 1999 will serve as an essential guide to the direction of current research.

Mixed hp-Finite Element Methods for Incompressible Flow
-M. Ainsworth, P. Coggins, and B. Senior

Adaptive Finite Element Methods for Optimization Problems
-R. Becker, H. Kapp and R. Rannacher

Variational PDE Models and Methods for Image Processing
-P. Blomgren, T. F. Chan, P. Mulet, L. Vese, and W.L. Wan

Interacting with the Subgrid World
-F. Brezzi

The Computing Power of Geometry
-F. Chaitin-Chatelin

Numerical Approximation of Vortex Density Evolution in a Superconductor
-C.M.Elliott and V.M.Styles

Krylov Subspace Methods for Radial Basis Function Interpolation
-A.C. Faul and M.J.D. Powell

A Homotopy Method for Mixed Complementarity Problems Based on the PATH Solver
-M. Ferris, T. S. Munson, and D. Ralph

Energy Conservation by Störmer-Type Numerical Integrators
-E. Hairer and Ch. Lubich

New Results on FETI Methods for Elliptic Problems with Discontinuous Coefficients
-A. Klawonn and O. B. Widlund

The Search for Good Polynomial Interpolation Points on the Sphere
-I. H. Sloan and R. S. Womersley

Gramian Based Model Reduction of Large-Scale Dynamical Systems
-P. Van Dooren

Solving Data Fitting Problems in lp Norms with Bounded Uncertainties in the Data
-G. A. Watson

Editorial Reviews

"The papers cover a wide range of topics from partial differential equations to linear algebra and approximation theory and contain contributions from leading experts in the field …strongly recommended to researchers and postgraduate students involved in numerical analysis, and to engineers or scientists using numerical methods."
-European Mathematical Society Newsletter, No. 40 (June 2001)

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