An annual volume presenting substantive survey articles in numerical analysis and scientific computing.Acta Numerica is an annual volume presenting substantive survey articles in numerical analysis and scientific computing. The subjects and authors are chosen by a distinguished international Editorial Board so as to report the most important and timely developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.Acta Numerica is an annual volume presenting substantive survey articles in numerical analysis and scientific computing. The subjects and authors are chosen by a distinguished international Editorial Board so as to report the most important and timely developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.Acta Numerica is an annual volume presenting substantive survey articles in numerical analysis and scientific computing. The subjects and authors are chosen by a distinguished international Editorial Board so as to report the most important and timely developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.1. Monte Carlo and quasi-Monte Carlo methods Russel E. Caflish; 2. Nonlinear approximation Ronald A. DeVore; 3. Relative Perturbation results for matrix eigenvalues and singular values Ilse C. F. Ipsen; 4. Stability for time-dependent differential equations Heinz-Otto Kreiss and Jens Lorenz; 5. Direct search algorithms for optimization calculations M. J. D. Powell; 6. Choice of norms for data fitting and function approximation G. A. Watson. ...a series of excellent yearly surveys of methods and progress in particular fields of numerical analysis, written by well-known specialists in these areas. Monatshefte fur Mathematik