Reduced Basis Methods for Partial Differential Equations An Introduction /

• Κύριοι συγγραφείς: Quarteroni, Alfio (Συγγραφέας), Manzoni, Andrea (Συγγραφέας), Negri, Federico (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: UNITEXT, 92
• Θέματα: Mathematics.; Partial differential equations.; Mathematical models.; Applied mathematics.; Engineering mathematics.; Fluid mechanics.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Engineering Fluid Dynamics.

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. The book presents...

Πίνακας περιεχομένων:

• 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.