• 1. Constructing cubature formulae: the science behind the art Ronald Cools; 2. Wavelet and multiscale methods for operator equations Wolfgang Dahmen; 3. A new version of the Fast Multipole Method for the Laplace equation in three dimensions Leslie Greengard and Vladimir Rohklin; 4. Lanczos-type solvers for nonsymmetric linear systems of equations Martin H. Gutknecht; 5. Numerical solution of multivariate polynomial systems by homotopy continuation methods T. Y. Li; 6. Numerical solution of highly oscillatory ordinary differential equations Linda R. Petzold, Laurent O. Jay and Jeng Yen; 7. Computational methods for semiclassical and quantum transport in semiconductor devices Christian Ringhofer; 8. Complexity theory and numerical analysis Steve Smale.

Review of the hardback: 'Acta Numerica is a fine achievement and I think we can expect to see it for many years to come. It sets itself laudable and important goals and has, to a large extent, achieve them. I believe that the volumes are of enormous benefit to our subject … The editorial board should be applauded for having the vision and drive necessary to create and sustain such a high quality publication … No mathematics library is complete without this annual publication, and I urge everyone working in numerical mathematics and scientific computing to read it.' Andrew Stuart, SIAM Review

• 1. Constructing cubature formulae: the science behind the art Ronald Cools; 2. Wavelet and multiscale methods for operator equations Wolfgang Dahmen; 3. A new version of the Fast Multipole Method for the Laplace equation in three dimensions Leslie Greengard and Vladimir Rohklin; 4. Lanczos-type solvers for nonsymmetric linear systems of equations Martin H. Gutknecht; 5. Numerical solution of multivariate polynomial systems by homotopy continuation methods T. Y. Li; 6. Numerical solution of highly oscillatory ordinary differential equations Linda R. Petzold, Laurent O. Jay and Jeng Yen; 7. Computational methods for semiclassical and quantum transport in semiconductor devices Christian Ringhofer; 8. Complexity theory and numerical analysis Steve Smale.

Review of the hardback: 'Acta Numerica is a fine achievement and I think we can expect to see it for many years to come. It sets itself laudable and important goals and has, to a large extent, achieve them. I believe that the volumes are of enormous benefit to our subject … The editorial board should be applauded for having the vision and drive necessary to create and sustain such a high quality publication … No mathematics library is complete without this annual publication, and I urge everyone working in numerical mathematics and scientific computing to read it.' Andrew Stuart, SIAM Review

• 1. Constructing cubature formulae: the science behind the art Ronald Cools; 2. Wavelet and multiscale methods for operator equations Wolfgang Dahmen; 3. A new version of the Fast Multipole Method for the Laplace equation in three dimensions Leslie Greengard and Vladimir Rohklin; 4. Lanczos-type solvers for nonsymmetric linear systems of equations Martin H. Gutknecht; 5. Numerical solution of multivariate polynomial systems by homotopy continuation methods T. Y. Li; 6. Numerical solution of highly oscillatory ordinary differential equations Linda R. Petzold, Laurent O. Jay and Jeng Yen; 7. Computational methods for semiclassical and quantum transport in semiconductor devices Christian Ringhofer; 8. Complexity theory and numerical analysis Steve Smale.

Review of the hardback: 'Acta Numerica is a fine achievement and I think we can expect to see it for many years to come. It sets itself laudable and important goals and has, to a large extent, achieve them. I believe that the volumes are of enormous benefit to our subject … The editorial board should be applauded for having the vision and drive necessary to create and sustain such a high quality publication … No mathematics library is complete without this annual publication, and I urge everyone working in numerical mathematics and scientific computing to read it.' Andrew Stuart, SIAM Review