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Reduced Basis Methods for Partial Differential Equations: An Introduction
Alfio Quarteroni
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Description for Reduced Basis Methods for Partial Differential Equations: An Introduction
Paperback. Series: UNITEXT. Num Pages: 296 pages, 9 black & white tables, biography. BIC Classification: PBKJ; PBWH; TBJ; TGMF. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 544.
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 a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties ... Read more
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 a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2015
Series
UNITEXT
Condition
New
Weight
479 g
Number of Pages
296
Place of Publication
Cham, Switzerland
ISBN
9783319154305
SKU
V9783319154305
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Alfio Quarteroni
Prof. Alfio Quarteroni, Dr. Andrea Manzoni and Federico Negri - Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland.
Reviews for Reduced Basis Methods for Partial Differential Equations: An Introduction
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. ... Read more