Arieh Iserles is Professor of Numerical Analysis of Differential Equations at the University of Cambridge.

• 1. Communication lower bounds and optimal algorithms for numerical linear algebra G. Ballard, E. Carson, J. Demmel, M. Hoemmen, N. Knight and O. Schwartz; 2. Mathematical analysis of variational isogeometric methods L. Beirão da Veiga, A. Buffa, G. Sangalli and R. Vázquez; 3. Topological pattern recognition for point cloud data G. Carlsson; 4. Numerical methods for kinetic equations G. Dimarco and L. Pareschi; 5. Stochastic finite element methods for partial differential equations with random input data M. D. Gunzberger, C. G. Webster and G. Zhang; 6. Numerical tensor calculus W. Hackbusch; 7. Numerical methods with controlled dissipation for small-scale dependent shocks P. G. LeFloch and S. Mishra.