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. Formalization and computational aspects of image analysis Luis Alvarez and Jean Michel Morel; 2. Domain decomposition algorithms Tony F. Chan and Tarek P. Mathew; 3. Aspects of the numerical analysis of neural networks Stephen W. Ellacott; 4. A review of pseudospectral methods for solving partial differential equations Bengt Fornberg and David M. Sloan; 5. Exact and approximate controllability for distributed parameter systems R. Glowinski and J. L. Lions; 6. On the numerical evaluation of electrostatic fields in composite materials Leslie Greengard and Monique Moura; 7. Numerical geometry of surfaces Malcolm Sabin; 8. Numerical analysis of dynamical systems Andrew Stuart.

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. Formalization and computational aspects of image analysis Luis Alvarez and Jean Michel Morel; 2. Domain decomposition algorithms Tony F. Chan and Tarek P. Mathew; 3. Aspects of the numerical analysis of neural networks Stephen W. Ellacott; 4. A review of pseudospectral methods for solving partial differential equations Bengt Fornberg and David M. Sloan; 5. Exact and approximate controllability for distributed parameter systems R. Glowinski and J. L. Lions; 6. On the numerical evaluation of electrostatic fields in composite materials Leslie Greengard and Monique Moura; 7. Numerical geometry of surfaces Malcolm Sabin; 8. Numerical analysis of dynamical systems Andrew Stuart.