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Numerical analysis --- Problem solving --- Résolution de problème --- Decomposition method --- Congresses --- 519.85 --- Mathematical programming --- 519.85 Mathematical programming --- Résolution de problème --- Programmation (mathématiques) --- Decomposition method - Congresses --- Programming(Linear-/Decomposition Method) --- Water resources management

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th This volume contains a selection of 41 refereed papers presented at the 18 International Conference of Domain Decomposition Methods hosted by the School of Computer Science and Engineering(CSE) of the Hebrew University of Jerusalem, Israel, January 12–17, 2008. 1 Background of the Conference Series The International Conference on Domain Decomposition Methods has been held in twelve countries throughout Asia, Europe, the Middle East, and North America, beginning in Paris in 1987. Originally held annually, it is now spaced at roughly 18-month intervals. A complete list of past meetings appears below. The principal technical content of the conference has always been mathematical, but the principal motivation has been to make efficient use of distributed memory computers for complex applications arising in science and engineering. The leading 15 such computers, at the “petascale” characterized by 10 oating point operations per second of processing power and as many Bytes of application-addressablem- ory, now marshal more than 200,000 independent processor cores, and systems with many millions of cores are expected soon. There is essentially no alternative to - main decomposition as a stratagem for parallelization at such scales. Contributions from mathematicians, computer scientists, engineers, and scientists are together necessary in addressing the challenge of scale, and all are important to this conference.

Decomposition method -- Congresses. --- Differential equations, Partial -- Congresses. --- Decomposition method --- Differential equations, Partial --- Mathematics --- Civil & Environmental Engineering --- Mathematics - General --- Operations Research --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Decomposition method. --- Mathematics. --- Math --- Method, Decomposition --- Computer science --- Computer mathematics. --- Mathematical models. --- Physics. --- Computational Mathematics and Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Computational Science and Engineering. --- Numerical and Computational Physics. --- Mathematics of Computing. --- Science --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Models, Mathematical --- Simulation methods --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science. --- Numerical and Computational Physics, Simulation. --- Informatics --- Computer science—Mathematics.

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Decomposition method --- -Differential equations, Partial --- -519.6 --- 681.3 *G18 --- 681.3 *G18 Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations --- Method, Decomposition --- Congresses --- Décomposition (Méthode mathématique) --- Décomposition (Méthode mathématique) --- Differential equations, Partial --- 519.6 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Operations research --- Programming (Mathematics) --- System analysis --- Equations aux dérivées partielles --- Congrès --- Decomposition method - Congresses --- Differential equations, Partial - Congresses