Reduced Basis Methods for Partial Differential Equations is popular PDF and ePub book, written by Alfio Quarteroni in 2015-08-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Reduced Basis Methods for Partial Differential Equations can be Read Online from any device for your convenience.
Reduced Basis Methods for Partial Differential Equations Book PDF Summary
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
Detail Book of Reduced Basis Methods for Partial Differential Equations PDF
- Author : Alfio Quarteroni
- Release : 19 August 2015
- Publisher : Springer
- ISBN : 9783319154312
- Genre : Mathematics
- Total Page : 305 pages
- Language : English
- PDF File Size : 7,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Reduced Basis Methods for Partial Differential Equations by Alfio Quarteroni, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.