• 1. Numerical relativity: challenges for computational science Gregory B. Cook and Saul A. Teukolsky; 2. Radiation boundary conditions for the numerical simulation of waves Thomas Hagstrom; 3. Numerical methods in tomography Frank Natterer; 4. Approximation theory of the MLP model in neural networks Allan Pinkus; 5. An introduction to numerical methods for stochastic differential equations Eckhard Platen; 6. Computation of pseudospectra Lloyd N. Trefethen.

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. Numerical relativity: challenges for computational science Gregory B. Cook and Saul A. Teukolsky; 2. Radiation boundary conditions for the numerical simulation of waves Thomas Hagstrom; 3. Numerical methods in tomography Frank Natterer; 4. Approximation theory of the MLP model in neural networks Allan Pinkus; 5. An introduction to numerical methods for stochastic differential equations Eckhard Platen; 6. Computation of pseudospectra Lloyd N. Trefethen.

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. Numerical relativity: challenges for computational science Gregory B. Cook and Saul A. Teukolsky; 2. Radiation boundary conditions for the numerical simulation of waves Thomas Hagstrom; 3. Numerical methods in tomography Frank Natterer; 4. Approximation theory of the MLP model in neural networks Allan Pinkus; 5. An introduction to numerical methods for stochastic differential equations Eckhard Platen; 6. Computation of pseudospectra Lloyd N. Trefethen.

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