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Author: David A. Kopriva
Publisher: Springer Science & Business Media
Published: 2009-05-27
Total Pages: 397
ISBN-13: 9048122619
DOWNLOAD EBOOKThis 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
Published: 2011-08-25
Total Pages: 481
ISBN-13: 3540710418
DOWNLOAD EBOOKAlong 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
Published: 2010-10-29
Total Pages: 507
ISBN-13: 3642153372
DOWNLOAD EBOOKThe 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:
Published: 2006
Total Pages: 224
ISBN-13: 9787030177223
DOWNLOAD EBOOK中国科学院科学出版基金资助出版。
Author: Mejdi Azaïez
Publisher: Springer Science & Business Media
Published: 2013-11-19
Total Pages: 421
ISBN-13: 3319016016
DOWNLOAD EBOOKThe 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: Robert M. Kirby
Publisher: Springer
Published: 2015-11-26
Total Pages: 504
ISBN-13: 3319198009
DOWNLOAD EBOOKThe 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: Lloyd N. Trefethen
Publisher: SIAM
Published: 2000-07-01
Total Pages: 179
ISBN-13: 0898714656
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
Author: Jens M. Melenk
Publisher: Springer Nature
Published: 2023-06-30
Total Pages: 571
ISBN-13: 3031204328
DOWNLOAD EBOOKThe volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.
Author: Spencer J. Sherwin
Publisher: Springer Nature
Published: 2020-08-11
Total Pages: 637
ISBN-13: 3030396479
DOWNLOAD EBOOKThis open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, 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.
Author: Claudio Canuto
Publisher: Springer Science & Business Media
Published: 2007-09-23
Total Pages: 585
ISBN-13: 3540307265
DOWNLOAD EBOOKSince 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.
