The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer /

• Main Authors: Chinesta, Francisco (Author), Keunings, Roland (Author), Leygue, Adrien (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Engineering.; Computer-aided engineering.; Computer mathematics.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Computational Science and Engineering.; Computer-Aided Engineering (CAD, CAE) and Design.

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 develope...

Table of Contents:

• 1 Introduction
• 2 PGD solution of the Poisson equation
• 3 PGD versus SVD
• 4 The transient diffusion equation
• 5 Parametric models
• 6 Advanced topics.