Overview
- First PGD book intended as a manual in the basics of the method
- Only available reference that includes Matlab code to ease the process
- Covers some of the most popular aspects of the technique, particularly real-time simulation
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
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About this book
This book is intended to help researchers overcome the entrance barrier to Proper Generalized Decomposition (PGD), by providing a valuable tool to begin the programming task. Detailed Matlab Codes are included for every chapter in the book, in which the theory previously described is translated into practice. Examples include parametric problems, non-linear model order reduction and real-time simulation, among others.
Proper Generalized Decomposition (PGD) is a method for numerical simulation in many fields of applied science and engineering. As a generalization of Proper Orthogonal Decomposition or Principal Component Analysis to an arbitrary number of dimensions, PGD is able to provide the analyst with very accurate solutions for problems defined in high dimensional spaces, parametric problems and even real-time simulation.
Proper Generalized Decomposition (PGD) is a method for numerical simulation in many fields of applied science and engineering. As a generalization of Proper Orthogonal Decomposition or Principal Component Analysis to an arbitrary number of dimensions, PGD is able to provide the analyst with very accurate solutions for problems defined in high dimensional spaces, parametric problems and even real-time simulation.
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Keywords
Table of contents (5 chapters)
Reviews
“This book provides a brief introduction to Proper Generalized Decompositions (PGD), with strong emphasis on computational aspects. The book discusses the implementation of PGD for the Poisson problem, parameter-dependent problems, linear-elasticity, and dynamical problems. For every problem, matrix assembly is developed and Matlab routines are presented.” (Dante Kalise, Mathematical Reviews, July, 2017)
Authors and Affiliations
Bibliographic Information
Book Title: Proper Generalized Decompositions
Book Subtitle: An Introduction to Computer Implementation with Matlab
Authors: Elías Cueto, David González, Icíar Alfaro
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-29994-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-29993-8Published: 10 March 2016
eBook ISBN: 978-3-319-29994-5Published: 01 March 2016
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: XII, 96
Number of Illustrations: 19 b/w illustrations, 1 illustrations in colour
Topics: Solid Mechanics, Computational Science and Engineering, Numerical and Computational Physics, Simulation