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Reduced Basis Methods for Partial Differential Equations

An Introduction

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Reduced Basis Methods for Partial Differential Equations Alfio Quarteroni
Libristo kod: 09178632
Nakladnici Springer International Publishing AG, srpanj 2015
This book provides a basic introduction to Reduced Basis (RB) methods for problems involving the rep... Cijeli opis
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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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Informacije o knjizi

Puni naziv Reduced Basis Methods for Partial Differential Equations
Autor Alfio Quarteroni, Andrea Manzoni, Federico Negri
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 2015
Broj stranica 296
EAN 9783319154305
ISBN 3319154303
Libristo kod 09178632
Nakladnici Springer International Publishing AG
Težina 534
Dimenzije 156 x 234 x 16

Kategorija

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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