Acta Numerica is an annual volume presenting survey papers in numerical analysis accessible to graduate students and researchers.Acta Numerica is an annual volume presenting survey papers in numerical analysis accessible to graduate students and researchers. Highlights of the 1994 issue are articles on domain decomposition, mesh adaption, pseudospectral methods and neural networks.Acta Numerica is an annual volume presenting survey papers in numerical analysis accessible to graduate students and researchers. Highlights of the 1994 issue are articles on domain decomposition, mesh adaption, pseudospectral methods and neural networks.The annual publication Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of current numerical analysis topics. The invited papers, by leaders in their respective fields, allow researchers and graduate students to quickly grasp recent trends and developments in this field. Highlights of this year's volume are articles on domain decomposition, mesh adaption, pseudospectral methods, and neural networks.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 thal1