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Cover: 9783709117934 | Separated Representations and PGD-Based Model Reduction | Buch | vii
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Separated Representations and PGD-Based Model Reduction
Fundamentals and Applications
Buch von Pierre Ladevèze (u. a.)
Sprache: Englisch

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Beschreibung
The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,¿), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,¿), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
Zusammenfassung

First book on this topic addressing a large audience (from undergraduate students to experienced researchers)

New ways of problem solving

Inhaltsverzeichnis
From the Contents: Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information.- Interpolation of reduced basis: a geometrical approach.- POD for non-linear models.
Details
Erscheinungsjahr: 2014
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: vii
227 S.
34 s/w Illustr.
40 farbige Illustr.
227 p. 74 illus.
40 illus. in color.
ISBN-13: 9783709117934
ISBN-10: 3709117933
Sprache: Englisch
Herstellernummer: 86366198
Einband: Gebunden
Autor: Chinesta, Francisco
Ladevèze, Pierre
Redaktion: Ladevèze, Pierre
Chinesta, Francisco
Herausgeber: Francisco Chinesta/Pierre Ladevèze
Hersteller: Springer Wien
Springer Vienna
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 19 mm
Von/Mit: Pierre Ladevèze (u. a.)
Erscheinungsdatum: 23.09.2014
Gewicht: 0,524 kg
Artikel-ID: 105259717
Zusammenfassung

First book on this topic addressing a large audience (from undergraduate students to experienced researchers)

New ways of problem solving

Inhaltsverzeichnis
From the Contents: Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information.- Interpolation of reduced basis: a geometrical approach.- POD for non-linear models.
Details
Erscheinungsjahr: 2014
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: vii
227 S.
34 s/w Illustr.
40 farbige Illustr.
227 p. 74 illus.
40 illus. in color.
ISBN-13: 9783709117934
ISBN-10: 3709117933
Sprache: Englisch
Herstellernummer: 86366198
Einband: Gebunden
Autor: Chinesta, Francisco
Ladevèze, Pierre
Redaktion: Ladevèze, Pierre
Chinesta, Francisco
Herausgeber: Francisco Chinesta/Pierre Ladevèze
Hersteller: Springer Wien
Springer Vienna
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 19 mm
Von/Mit: Pierre Ladevèze (u. a.)
Erscheinungsdatum: 23.09.2014
Gewicht: 0,524 kg
Artikel-ID: 105259717
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