Reduced Basis Methods for Partial Differential Equations

An Introduction

Häftad, Engelska, 2015

Av Alfio Quarteroni, Andrea Manzoni, Federico Negri

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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) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization.

Produktinformation

Utgivningsdatum2015-07-27
Mått155 x 235 x 16 mm
Vikt534 g
FormatHäftad
SpråkEngelska
SerieUNITEXT
Antal sidor296
FörlagSpringer International Publishing AG
ISBN9783319154305

Tillhör följande kategorier

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.

"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)