The Shanghai Forum on Industrial and Applied Mathematics was organized in May 2006. This volume collects the material covered by the majority of the lectures of which reflects results and trends in industrial and applied mathematics. It is intended for graduate students and researchers in industrial and applied mathematics.

A Continuation Method for a Class of Periodic Evolution Variational Inequalities (S Adly et al.); Complementarity Problems: An Overview on Existing Verification Procedures (G Alefeld); Synchrony in Lattice Differential Equations (F Antoneli et al.); The Periodic Unfolding Method for Quasi-Convex Functionals (A Damlamian); Sparse System Solution and the HSL Library (I S Duff); Modeling and Numerics for the Transient Simulation of the Blast Furnace Process (H W Engl et al.); Gelification of Hydrocarbons: A Model Problem (L Faienza et al.); On the Martingale Representation Theorem and on Approximate Hedging a Contingent Claim in the Minimum Deviation Square Criterion (N V Huu et al.); Flexible Stability Domains for Explicit Runge-Kutta Methods (R Jeltsch & M Torrilhon); MS-Stability Analysis for Numerical Solutions of Stochastic Differential Equations: Beyond Single-Step Single Dim (T Mitsui & Y Saito); A Comparison of Direct Discretization of 4th Order Problems Versus System Reduction (R D Russell et al.); Subspace Techniques for Nonlinear Optimization (Y-X Yuan).