Numerical Methods for Stochastic Computations: A Spectral Method Approach - Couverture rigide

Xiu, Dongbin

 
9780691142128: Numerical Methods for Stochastic Computations: A Spectral Method Approach
Couverture rigide
ISBN 10 : 0691142122 ISBN 13 : 9780691142128
Editeur : Princeton University Press, 2010

Synopsis

The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension of the classical spectral methods of high-dimensional random spaces. Designed to simulate complex systems subject to random inputs, these methods are widely used in many areas of computer science and engineering.

The book introduces polynomial approximation theory and probability theory; describes the basic theory of gPC methods through numerical examples and rigorous development; details the procedure for converting stochastic equations into deterministic ones; using both the Galerkin and collocation approaches; and discusses the distinct differences and challenges arising from high-dimensional problems. The last section is devoted to the application of gPC methods to critical areas such as inverse problems and data assimilation.

Ideal for use by graduate students and researchers both in the classroom and for self-study, Numerical Methods for Stochastic Computations provides the required tools for in-depth research related to stochastic computations.


  • The first graduate-level textbook to focus on the fundamentals of numerical methods for stochastic computations

  • Ideal introduction for graduate courses or self-study

  • Fast, efficient, and accurate numerical methods

  • Polynomial approximation theory and probability theory included

  • Basic gPC methods illustrated through examples

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dongbin Xiu is associate professor of mathematics at Purdue University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2010
Langue
anglais
ISBN 10 
0691142122
ISBN 13 
9780691142128
Reliure
Relié
Nombre de pages
144
Coordonnées du fabricant
non disponible
Personne responsable
non disponible