Overview

Combining theory with practice in a multidisciplinary context, Efficient Time-Dependent PDE Computation using MATLAB and SCILAB presents techniques of algorithmic reduction with a focus on reduced-order models like proper orthogonal decomposition (POD). The book offers a comprehensive introduction to numerical optimization and addresses both degree-of-freedom reduction and dimensionality reduction issues. It also presents stochastic process modeling using probabilistic density functions (PDF) to demonstrate how dimensionality limits computations to only a few random variables. MATLAB (R) and SCILAB codes are used to implement several of the algorithms discussed.

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9781584889274

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Ecole Centrale PARIS, Chatenay-Malabry cedex, France Ecole Centrale Paris, Chatenay Malabry, France University of Greenwich, London, UK

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