Titlebook: Reduced Basis Methods for Partial Differential Equations; An Introduction Alfio Quarteroni,Andrea Manzoni,Federico Negri Textbook 2016 Spri

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Reduced Basis Methods for Partial Differential Equations978-3-319-15431-2Series ISSN 2038-5714 Series E-ISSN 2532-3318

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Alfio Quarteroni,Andrea Manzoni,Federico NegriThe first textbook on reduced basis methods, an approximation technique that has become very popular and successful in engineering and applied sciences.Offers a balanced presentation of theoretical an

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Introduction,d, finite volumes, finite differences or spectral methods. However, this might be quite demanding, because it involves up to .(10. – 109.) degrees of freedom and several hours (or even days) of CPU time, also on powerful hardware parallel architectures.

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RB Methods: Basic Principles, Basic Properties,able operators, of which coercive operators can be regarded as a particular — yet very relevant — instance. Proper orthogonal decomposition (POD) and greedy algorithms, two major techniques employed to build reduced spaces, are described thoroughly in Chaps. 6 and 7.