• 1. Meshless methods Ivo Babuvska and John Osborn; 2. Viscosity methods Bernardo Cockburn; 3. Computational optics Bjorn Engquist and Olof Runborg; 4. Model reduction methods Roland Freund; 5. Computational financial mathematics Jonathan Goodman; 6. Automatic differentiation Andreas Griewank; 7. Numerical geometric integration Ernst Hairer, Christian Lubich and Gerhard Wanner; 8. Numerical stability theory for PDEs Eitan Tadmor.

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, achieved 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. Meshless methods Ivo Babuvska and John Osborn; 2. Viscosity methods Bernardo Cockburn; 3. Computational optics Bjorn Engquist and Olof Runborg; 4. Model reduction methods Roland Freund; 5. Computational financial mathematics Jonathan Goodman; 6. Automatic differentiation Andreas Griewank; 7. Numerical geometric integration Ernst Hairer, Christian Lubich and Gerhard Wanner; 8. Numerical stability theory for PDEs Eitan Tadmor.

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, achieved 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. Meshless methods Ivo Babuvska and John Osborn; 2. Viscosity methods Bernardo Cockburn; 3. Computational optics Bjorn Engquist and Olof Runborg; 4. Model reduction methods Roland Freund; 5. Computational financial mathematics Jonathan Goodman; 6. Automatic differentiation Andreas Griewank; 7. Numerical geometric integration Ernst Hairer, Christian Lubich and Gerhard Wanner; 8. Numerical stability theory for PDEs Eitan Tadmor.

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, achieved 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