Reduced Basis Methods For Partial Differential Equations - An Introduction by Alfio Quarteroni, Andrea Manzoni, Federico Negri

Download Book Reduced Basis Methods For Partial Differential Equations - An Introduction by Alfio Quarteroni [PDF/ePUB]

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 and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit

How to download Reduced Basis Methods For Partial Differential Equations - An Introduction eBook online in the US, Canada, UK, Australia and other countries? If you want to fully download or read online Reduced Basis Methods For Partial Differential Equations - An Introduction a book by Alfio Quarteroni, you are in the right place. This website provides the opportunity to read books or download for free.

“Two things are infinite: the universe and human stupidity; and I'm not sure about the universe.” ― Albert Einstein

Do you read books like Reduced Basis Methods For Partial Differential Equations - An Introduction and other similar books? We like Reduced Basis Methods For Partial Differential Equations - An Introduction, and everybody loves them as well much more when they are totally free, right? You are in the best place to get your favourite books and download or read it with free of charge on our site.