The Proper Generalized Decomposition for Advanced Numerical Simulations is popular PDF and ePub book, written by Francisco Chinesta in 2013-10-08, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, The Proper Generalized Decomposition for Advanced Numerical Simulations can be Read Online from any device for your convenience.
The Proper Generalized Decomposition for Advanced Numerical Simulations Book PDF Summary
Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples.
Detail Book of The Proper Generalized Decomposition for Advanced Numerical Simulations PDF
- Author : Francisco Chinesta
- Release : 08 October 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783319028651
- Genre : Technology & Engineering
- Total Page : 127 pages
- Language : English
- PDF File Size : 14,8 Mb
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