Author : David A. Kopriva
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 30,43 MB
Release : 2009-05-27
Category : Mathematics
ISBN : 9048122619
This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.
Author : Jie Shen
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 21,81 MB
Release : 2011-08-25
Category : Mathematics
ISBN : 3540710418
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
Author : Jan S. Hesthaven
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 16,1 MB
Release : 2010-10-29
Category : Mathematics
ISBN : 3642153372
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
Author : Jie Shen
Publisher :
Page : 224 pages
File Size : 45,73 MB
Release : 2006
Category : Calculus
ISBN : 9787030177223
中国科学院科学出版基金资助出版。
Author : Lloyd N. Trefethen
Publisher : SIAM
Page : 179 pages
File Size : 25,63 MB
Release : 2000-07-01
Category : Mathematics
ISBN : 0898714656
Mathematics of Computing -- Numerical Analysis.
Author : Claudio Canuto
Publisher : Springer Science & Business Media
Page : 585 pages
File Size : 27,36 MB
Release : 2007-09-23
Category : Science
ISBN : 3540307265
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.
Author : Robert M. Kirby
Publisher : Springer
Page : 504 pages
File Size : 49,71 MB
Release : 2015-11-26
Category : Computers
ISBN : 3319198009
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.
Author : Randall J. LeVeque
Publisher : SIAM
Page : 356 pages
File Size : 29,32 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 9780898717839
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author : Mejdi Azaïez
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 45,70 MB
Release : 2013-11-19
Category : Mathematics
ISBN : 3319016016
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
Author : Marco L. Bittencourt
Publisher : Springer
Page : 681 pages
File Size : 10,76 MB
Release : 2017-11-07
Category : Mathematics
ISBN : 3319658700
This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
