The Shanghai Forum on Industrial and Applied Mathematics was organized in May 2006 on the occasion that many famous industrial and applied mathematicians gathered in Shanghai from different countries to participate in the Officers' Meeting and the Board Meeting of the ICIAM (International Council for Industrial and Applied Mathematics). This volume collects the material covered by the majority of the lectures of which reflects panoramically recent results and trends in industrial and applied mathematics. This book will be very useful for graduate students and researchers in industrial and applied mathematics.Sample Chapter(s)Chapter 1: A Continuation Method for a Class of Periodic Evolution Variational Inequalities (931 KB)Contents: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)Modelling 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)Readership: Graduate students and researchers in industrial and applied mathematics.