Sixth International Congress on Industrial and Applied Mathematics (European Mathematical Society)

Invited Lectures: A level set method for the numerical simulation of damage evolution by G. Allaire, F. Jouve, and N. Van Goethem Dissipation inequalities in systems theory: An introduction and recent results by C. Ebenbauer, T. Raff, and F. Allgower Some nonlinear problems involving non-local diffusions by L. Caffarelli High-order methods for PDEs: Recent advances and new perspectives by C. Canuto Radar imaging by M. Cheney Adaptive approximations by greedy algorithms by A. Cohen Multiscale analysis of density functional theory by Weinan E Frictional contact in solid mechanics by M. Fortin, C. Robitaille, A. Fortin, and A. Rezgui Numerical methods for fully nonlinear elliptic equations by R. Glowinski Asymptotic solutions of Hamilton-Jacobi equations for large time and related topics by H. Ishii Hyperbolic conservation laws. Past and future by B. Keyfitz Second-order PDE and deterministic games by R. Kohn and S. Serfaty Controllability and observability: From ODEs to quasilinear hyperbolic systems by T. Li Order-value optimization and new applications by J. Martinez Conformation dynamics by C. Schutte, F. Noe, E. Meerbach, P. Metzner, and C. Hartmann MCMC methods for sampling function space by A. Beskos and A. Stuart Chaotic itinerancy reality in the dynamic brain--episodic memory formation by I. Tsuda Visibility and invisibility by G. Uhlmann Optimal algorithms for discretized partial differential equations by J. Xu Euler Special Lecture: Leonhard Euler: His life, the man, and his works by W. Gautschi Contents......Page 7 ICIAM Congresses......Page 9 ICIAM Prize Winners......Page 11 Organization of the Congress......Page 13 List of Sponsors......Page 21 Opening ceremony......Page 31 Presentation of the ICIAM Prizes 2007 byIan Sloan, Chair of the Prize Committee......Page 37 Invited Lectures......Page 47 A level set method for the numericalsimulation of damage evolution......Page 49 Dissipation inequalities in systems theory: An introduction and recent results......Page 69 Some nonlinear problems involving non-local diffusions......Page 89 High-order methods for PDEs: Recent advances and new perspectives......Page 103 Radar imaging......Page 135 Adaptive approximations by greedy algorithms......Page 145 Multiscale analysis of density functional theory......Page 159 Frictional contact in solid mechanics......Page 177 Numerical methods for fully nonlinear elliptic equations......Page 201 Asymptotic solutions of Hamilton–Jacobi equations for large time and related topics......Page 239 Hyperbolic conservation laws. Past and future......Page 265 Second-order PDE’s and deterministic games......Page 285 Controllability and observability: From ODEs to quasilinear hyperbolic systems......Page 297 Order-value optimization and new applications......Page 325 Conformation dynamics......Page 343 MCMC methods for sampling function space......Page 383 Chaotic itinerancy reality in the dynamic brain – episodic memory formation......Page 411 Visibility and invisibility......Page 427 Optimal algorithms for discretized partial differential equations......Page 455 Euler Special Lecture......Page 491 Leonhard Euler: His life, the man, and his works......Page 493 "The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organisation of societies which are dedicated primarily of 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 6th ICIAM Congress was held in Zurich, Switzerland, 16-20 July 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 of 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."--Jacket