6th International Congress on Industrial and Applied Mathematics Zürich, Switzerland, 16-20 July 2007 Invited Lectures / [electronic resource] : Rolf Jeltsch, Gerhard Wanner - Zuerich, Switzerland : European Mathematical Society Publishing House, 2009 - 1 online resource (530 pages)

A level set method for the numerical simulation of damage evolution / Dissipation inequalities in systems theory: An introduction and recent results / Some nonlinear problems involving non-local diffusions / High-order methods for PDEs: Recent advances and new perspectives / Radar imaging / Adaptive approximations by greedy algorithms / Multiscale analysis of density functional theory / Frictional contact in solid mechanics / Numerical methods for fully nonlinear elliptic equations / Asymptotic solutions of Hamilton–Jacobi equations for large time and related topics / Hyperbolic conservation laws. Past and future / Second-order PDE’s and deterministic games / Controllability and observability: From ODEs to quasilinear hyperbolic systems / Order-value optimization and new applications / Conformation dynamics / MCMC methods for sampling function space / Chaotic itinerancy reality in the dynamic brain – episodic memory formation / Visibility and invisibility / Optimal algorithms for discretized partial differential equations / Leonhard Euler: His life, the man, and his works / Grégoire Allaire, François Jouve, Nicolas Van Goethem -- Christian Ebenbauer, Tobias Raff, Frank Allgöwer -- Luis A. Caffarelli -- Claudio Canuto -- Margaret Cheney -- Albert Cohen -- Weinan E -- Michel Fortin, Carl Robitaille, André Fortin, Ali Rezgui -- Roland Glowinski -- Kenji Nishihara -- Barbara Lee Keyfitz -- Robert V. Kohn, Sylvia Serfaty -- Tatsien Li -- José Mario Martínez -- Christof Schütte, Frank Noe, Eike Meerbach, Philipp Metzner, Carsten Hartmann -- Alexandros Beskos, Andrew M. Stuart -- Ichiro Tsuda -- Gunther Uhlmann -- Jinchao Xu -- Walter Gautschi.

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The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organisation 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 6th ICIAM Congress was held in Zürich, Switzerland, 16–20 July 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congres, 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. 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 Hamilton–Jacobi equations contact problems in solid mechanics topology optimization of structures dissipation inequalities in systems theory greedy algorithms sampling in function space order-value optimization parabolic partial differential equations and deterministic games Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, complex geometric optics applied to acoustics and electromagnetics.

9783037195567

10.4171/056 doi


Numerical analysis
Differential equations
Mathematics for scientists & engineers
Theoretical methods
Numerical analysis
Partial differential equations
Computer science
Biology and other natural sciences
The Institute of Mathematical Sciences, Chennai, India

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