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Reduced Basis Methods for Partial Differential Equations An Introduction /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | La Matematica per il 3+2,
92 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.