A high-impact, prestigious, annual publication featuring invited surveys by subject leaders: essential reading for all practitioners and researchers.Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide techniques and analysis.Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide techniques and analysis.Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state of the art techniques and analysis.1. Recent trends in the numerical solution of retarded functional differential equations A. Bellen, N. Guglielmi, S. Maset and M. Zennaro; 2. Adaptivity with moving grids Chris J. Budd, Weizhang Huang and Robert D. Russell; 3. Fast direct solvers for integral equations in complex three-dimensional domains L. Greengard, D. Gueyffier, P.-G. Martinsson and V. Rokhlin; 4. Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and NavierStokes equations Thomas Y. Hou.