2009; 530 pp; hardcover ISBN10: 3037190566 ISBN13: 9783037190562 List Price: US$148 Member Price: US$118.40 Order Code: EMSICIAM/2007
 The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organization of societies which are dedicated primarily or significantly to applied and/or industrial mathematics. The ICIAM Congresses, held every 4 years, are run under the auspices of the Council with the aim to advance the applications of mathematics in all parts of the world. The Sixth ICIAM Congress was held in Zürich, Switzerland, July 1620, 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congress, the appreciations of the ICIAM Prize winners' achievements, and the Euler Lecture celebrating the 300th anniversary of Euler. The authors of these papers are leading researchers in their fields, rigorously selected by a distinguished international program committee. The book presents an overview of contemporary applications of mathematics, new perspectives, and open problems. Topics embrace analysis of and numerical methods for:  linear and nonlinear partial differential equations
 multiscale modeling
 nonlinear problems involving integral operators
 controllability and observability
 asymptotic solutions of HamiltonJacobi equations
 contact problems in solid mechanics
 topology optimization of structures
 dissipation inequalities in systems theory
 greedy algorithms
 sampling in function space
 ordervalue optimization
 parabolic partial differential equations and deterministic games
Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, and complex geometric optics applied to acoustics and electromagnetics. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Graduate students and research mathematicians interested in applied and/or industrial mathematics. Table of Contents Invited Lectures  G. Allaire, F. Jouve, and N. Van Goethem  A level set method for the numerical simulation of damage evolution
 C. Ebenbauer, T. Raff, and F. Allgöwer  Dissipation inequalities in systems theory: An introduction and recent results
 L. Caffarelli  Some nonlinear problems involving nonlocal diffusions
 C. Canuto  Highorder methods for PDEs: Recent advances and new perspectives
 M. Cheney  Radar imaging
 A. Cohen  Adaptive approximations by greedy algorithms
 Weinan E  Multiscale analysis of density functional theory
 M. Fortin, C. Robitaille, A. Fortin, and A. Rezgui  Frictional contact in solid mechanics
 R. Glowinski  Numerical methods for fully nonlinear elliptic equations
 H. Ishii  Asymptotic solutions of HamiltonJacobi equations for large time and related topics
 B. Keyfitz  Hyperbolic conservation laws. Past and future
 R. Kohn and S. Serfaty  Secondorder PDE and deterministic games
 T. Li  Controllability and observability: From ODEs to quasilinear hyperbolic systems
 J. Martínez  Ordervalue optimization and new applications
 C. Schütte, F. Noe, E. Meerbach, P. Metzner, and C. Hartmann  Conformation dynamics
 A. Beskos and A. Stuart  MCMC methods for sampling function space
 I. Tsuda  Chaotic itinerancy reality in the dynamic brainepisodic memory formation
 G. Uhlmann  Visibility and invisibility
 J. Xu  Optimal algorithms for discretized partial differential equations
Euler Special Lecture  W. Gautschi  Leonhard Euler: His life, the man, and his works
