Preface; Contributors; 1. Smoothed analysis of condition numbers Peter Bürgisser; 2. A world of binomials Alicia Dickenstein; 3. Linear and nonlinear subdivision schemes in geometric modeling Nira Dyn; 4. Energy preserving and energy stable schemes for the shallow water equations Ulrik Fjordholm, Siddhartha Mishra and Eitan Tadmor; 5. Pathwise convergence of numerical schemes for random and stochastic differential equations A. Jentzen, P. E. Kloeden and A. Neuenkirch; 6. Some properties of the global behaviour of conservative low-dimensional systems Carles Simó; 7. A panoramic view of asymptotics R. Wong; 8. Tractability of multivariate problems H. Woźniakowski.