A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.Acta Numerica is a high-impact factor, prestigious annual publication containing invited surveys by leading researchers in numerical mathematics and scientific computing. The surveys present overviews of developments in their area and provide techniques and analyses. It is essential reading for practitioners and researchers. This volume was originally published in 2006.Acta Numerica is a high-impact factor, prestigious annual publication containing invited surveys by leading researchers in numerical mathematics and scientific computing. The surveys present overviews of developments in their area and provide techniques and analyses. It is essential reading for practitioners and researchers. This volume was originally published in 2006.Acta Numerica is a high-impact factor, prestigious annual publication containing invited surveys by leading researchers in numerical mathematics and scientific computing. The surveys present overviews of developments in their area and provide techniques and analyses. It is essential reading for all practitioners and researchers. This volume was originally published in 2006.1. Topological methods in finite-element theory Doug Arnold, Richard Falk and Ragnar Winther; 2. General linear methods John Butcher; 3. Wavelets, ridgelets and curvelets Emmanuel Candes; 4. Linear algebra and data mining Lars Eld?n; 5. Numerical modelling of ocean circulation Bob Higdon; 6. Roundoff properties of Lanczos and conjugate gradient algorithms G?rard Meurant; 7. Applications of radial basis functions Robert Schaback and Holger Wendland.