For this volume, experts in a wide range of fields in numerical analysis provide clear and concise reviews of current work, accessible to non-specialists. Topics include linear algebra, ordinary differential equations, approximation, and optimization, as well as important new applications in numerical tomography and image processing. First presented in 1996 at the State of the Art in Numerical Analysis conference, the papers reflect the rapid progress since the previous conference in 1986.

Of considerable importance to numerical analysts, this text contains t he proceedings of the 18th Dundee Biennial Conference on Numerical Ana lysis, 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 expert s in the field. The applications range from image processing and molec ular dynamics to superconductivity. If you rely on numerical methods, Numerical Analysis 1999 will serve as an essential guide to the direc tion of current research.