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Klappentext Numerical analysis! the key area of applied mathematics concerned with using computers in evaluating or approximating mathematical models! is crucial to all applications of mathematics in science and engineering. Acta Numerica annually surveys the most important developments in numerical analysis and scientific computing. The substantive survey articles! chosen by a distinguished international editorial board! report on the most important and timely advances in a manner accessible to the wider community of professionals interested in scientific computing. Zusammenfassung Acta Numerica is an annual volume presenting substantive survey articles in numerical analysis and scientific computing. Subjects and authors are chosen 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. Inhaltsverzeichnis 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.