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Mathematical statistics

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In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Coupled problems (Complex systems) --- Integrated circuits --- Large scale systems --- Mathematical models. --- Very large scale integration --- Materials. --- Engineering. --- Computer science --- Numerical analysis. --- Computer science. --- Materials Science, general. --- Engineering, general. --- Computational Mathematics and Numerical Analysis. --- Numerical Analysis. --- Computational Science and Engineering. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Mathematical analysis --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Mathematics --- Materials --- Materials science. --- Computer mathematics. --- Material science --- Physical sciences

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Eigenvalues --- Data processing. --- ARPACK (Computer file) --- 519.6 --- 681.3*G13 --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- ARPACK (Computer file). --- Matrices --- Data processing --- Algorithmes --- Analyse numérique. --- Numerical analysis --- Algorithms --- Itération (mathématiques) --- Iterative methods (Mathematics) --- Analyse numérique --- Numerical analysis. --- Algorithms. --- Itération (mathématiques) --- Valeurs propres --- Estimation numerique