Numerical analysis is the subject of applied mathematics concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board 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.
1. An optimal control approach to a posteriori error estimation in finite element methods Roland Becker and Rolf Rannacher; 2. Mathematical modelling of linearly elastic shells Philippe G. Ciarlet; 3. Some new results and current challenges in the finite element analysis of shells Dominique Chapelle; 4. Geometric aspects of the theory of Krylov subspace methods Michael Eiermann and Oliver G. Ernst; 5. Data mining techniques Markus Hegland; 6. Discrete mechanics and variational integrators J. E. Marsden and M. West; 7. Semidefinite optimization M. J. Todd.