Acta Numerica 1999: Volume 8 Acta Numerica Series, Vol. 8

Numerical analysis is the subject of applied mathematics concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.

1. Numerical relativity: challenges for computational science Gregory B. Cook and Saul A. Teukolsky; 2. Radiation boundary conditions for the numerical simulation of waves Thomas Hagstrom; 3. Numerical methods in tomography Frank Natterer; 4. Approximation theory of the MLP model in neural networks Allan Pinkus; 5. An introduction to numerical methods for stochastic differential equations Eckhard Platen; 6. Computation of pseudospectra Lloyd N. Trefethen.