Felipe Cucker is a Chair Professor of Mathematics at City University of Hong Kong. He is presently the Chairman of the Society for the Foundations of Computational Mathematics. Allan Pinkus holds the Margaret Mosenfelder Harris Chair in Mathematics at the Department of Mathematics at the Technion - Israel Institute of Technology. Michael J. Todd is the Leon C. Welch Professor of Engineering at Cornell University. He is a Fellow of INFORMS, and has received the George B. Dantzig Prize from MPS and SIAM, and the John von Neumann Theory Prize from INFORMS.

• 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.