Description
Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the subject is presented using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists and engineers interested in applying pseudospectral methods to real problems.
This book explains how, when and why the pseudospectral approach works.
Reviews
'... a useful book for the engineer'. H. A. van der Vorst, ITW Nieuws
'Practical indeed ... with eight very useful appendices including some Fortran code ... The diagrams are excellent and revealing.' Mathematika
' ... a most valuable contribution, not only stressing theoretical issues but illuminating practical performance as well.' Monatshefte fur Mathematik
'The book is born out of the author's vast experience in the field and we should be indebted to him for making his knowledge available to us in this user-friendly book ... I thoroughly enjoyed reading this book and the opportunity to look at pseudospectral methods from a different perspective. I would recommend this book to those interested in pseudospectral methods and those whose research involves solving differential equations using high-order discretization methods.' Proceedings of the Edinburgh Mathematical Society
Book Information
ISBN 9780521645645
Author Bengt Fornberg
Format Paperback
Page Count 244
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 330g
Dimensions(mm) 228mm * 151mm * 13mm
This book explains how, when and why the pseudospectral approach works.
Reviews
'... a useful book for the engineer'. H. A. van der Vorst, ITW Nieuws
'Practical indeed ... with eight very useful appendices including some Fortran code ... The diagrams are excellent and revealing.' Mathematika
' ... a most valuable contribution, not only stressing theoretical issues but illuminating practical performance as well.' Monatshefte fur Mathematik
'The book is born out of the author's vast experience in the field and we should be indebted to him for making his knowledge available to us in this user-friendly book ... I thoroughly enjoyed reading this book and the opportunity to look at pseudospectral methods from a different perspective. I would recommend this book to those interested in pseudospectral methods and those whose research involves solving differential equations using high-order discretization methods.' Proceedings of the Edinburgh Mathematical Society
Book Information
ISBN 9780521645645
Author Bengt Fornberg
Format Paperback
Page Count 244
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 330g
Dimensions(mm) 228mm * 151mm * 13mm
