Reduced Basis Methods for Partial Differential Equations: An Introduction
Author:   Alfio Quarteroni ,  Andrea Manzoni ,  Federico Negri
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   92
ISBN:  

9783319154305


Pages:   296
Publication Date:   27 July 2015
Format:   Paperback
Availability:   In Print   Availability explained
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Reduced Basis Methods for Partial Differential Equations: An Introduction


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Author:   Alfio Quarteroni ,  Andrea Manzoni ,  Federico Negri
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   92
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   4.745kg
ISBN:  

9783319154305


ISBN 10:   3319154303
Pages:   296
Publication Date:   27 July 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Introduction.- 2 Representative problems: analysis and (high-fidelity) approximation.- 3 Getting parameters into play.- 4 RB method: basic principle, basic properties.- 5 Construction of reduced basis spaces.- 6 Algebraic and geometrical structure.- 7 RB method in actions.- 8 Extension to nonaffine problems.- 9 Extension to nonlinear problems.- 10 Reduction and control: a natural interplay.- 11 Further extensions.- 12 Appendix A Elements of functional analysis.

Reviews

This textbook provides a basic introduction to reduced basis methods for partial differential equation. Written for undergrad and grad students in this fast growing field of numerical analysis and scientific computing, the methods described allow the authors to solve in real time or in a many-query context a parametric system or equation or to calculate a related output of interest. ... MATLAB software is provided as a companion to the book for a selected class of problem. (Gianluigi Rozza, Mathematical Reviews, October, 2016)


Author Information

Prof. Alfio Quarteroni, Dr. Andrea Manzoni and Federico Negri - Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.

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