Acta Numerica 2011 Volume 20 [Hardcover]

A high-impact, prestigious, annual publication containing 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 state-of-the-art 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.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. Topics in structure - preserving discretization Snorre H. Christiansen, Hans Z. Munthe-Kaas and Brynjulf Owren; 2. Mathematical and computational methods for semiclassical Schr?dinger equations Shi Jin, Peter Markowich and Christof Sparber; 3. Tsunami modelling with adaptively refined finite volume methods Randall J. LeVeque, David L. George and Marsha J. Berger; 4. Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs Christoph Schwab and Claude Jeffrey Gittelson; 5. Numerical algebraic geometry and algebraic kinematics Charles W. Wampler and Andrew J. Sommese; 6. Variationally consistent discretization schemes and numerical algorithms for contact problems Barbara Wohlmuth.