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Reduced Basis Methods for Partial Differential Equations

An Introduction

Language EnglishEnglish
Book Paperback
Book Reduced Basis Methods for Partial Differential Equations Alfio Quarteroni
Libristo code: 09178632
Publishers Springer International Publishing AG, July 2015
This book provides a basic introduction to Reduced Basis (RB) methods for problems involving the rep... Full description
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21 363 Ft
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This book provides a basic introduction to Reduced Basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs), such as PDEs depending on several parameters, PDE-constrained optimization, etc., arising from engineering and applied sciences.§§We present a general mathematical formulation of RB methods, analyze their fundamental theoretical properties, discuss the related algorithmic and implementation aspects, and finally we highlight their built-in algebraic and geometrical structures.§§More specifically, we carry on both a priori and a posteriori error analysis, discuss alternative techniques for constructing accurate RB spaces, and analyze Offline-Online decomposition strategies aimed at the reduction of computational complexity.§§The whole mathematical discussion is made more stimulating thanks to the use of several representative examples of applicative interest, in the context of both linear and nonlinear PDEs.§

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About the book

Full name Reduced Basis Methods for Partial Differential Equations
Author Alfio Quarteroni, Andrea Manzoni, Federico Negri
Language English
Binding Book - Paperback
Date of issue 2015
Number of pages 296
EAN 9783319154305
ISBN 3319154303
Libristo code 09178632
Publishers Springer International Publishing AG
Weight 534
Dimensions 156 x 234 x 16

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations
Mathematics & Science > Mathematics > Applied mathematics > Mathematical modelling
Technology, Engineering, Agriculture > Mechanical engineering & materials > Materials science > Mechanics of fluids
Technology, Engineering, Agriculture > Technology: general issues > Maths for engineers
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