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Author: David A. Kopriva
Publisher: Springer Science & Business Media
Published: 2009-05-27
Total Pages: 397
ISBN-13: 9048122619
DOWNLOAD EBOOK →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: Spencer J. Sherwin
Publisher: Springer Nature
Published: 2020-08-11
Total Pages: 658
ISBN-13: 3030396479
DOWNLOAD EBOOK →This 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: Jan S. Hesthaven
Publisher: Springer Science & Business Media
Published: 2010-10-29
Total Pages: 507
ISBN-13: 3642153372
DOWNLOAD EBOOK →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: Marco L. Bittencourt
Publisher: Springer
Published: 2017-11-07
Total Pages: 700
ISBN-13: 3319658700
DOWNLOAD EBOOK →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.
Author: Mejdi Azaïez
Publisher: Springer Science & Business Media
Published: 2013-11-19
Total Pages: 421
ISBN-13: 3319016016
DOWNLOAD EBOOK →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: Robert M. Kirby
Publisher: Springer
Published: 2015-11-26
Total Pages: 530
ISBN-13: 3319198009
DOWNLOAD EBOOK →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: Jens M. Melenk
Publisher: Springer Nature
Published: 2023-06-30
Total Pages: 571
ISBN-13: 3031204328
DOWNLOAD EBOOK →The 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: C. Canuto
Publisher: North Holland
Published: 1990
Total Pages: 532
ISBN-13:
DOWNLOAD EBOOK →In the last decade high order methods for scientific computing have been attracting increasing interest. This trend has been generated by the need for a higher accuracy in the numerical simulation of more and more complex scientific and technological problems; it is backed up by sound mathematical research, and propelled by the availability of faster supercomputers. Spectral methods have now become the methods preferred in the prediction of many highly structured phenomena. The h-p version of the finite element method has proven extremely effective in handling singularities in structural mechanics. Finite differences have been demonstrated capable of blending flexibility and accuracy in applications to non-smooth problems. Although these and other high order methods originated from different, sometimes even opposite philosophies, they exhibit common features, and share a large part of the methodologies for their mathematical investigation and their algorithmic implementation. The technical content of the 14 invited and 30 general papers presented in this volume reflect the high standard of current research being achieved in this field.
Author: Jie Shen
Publisher: Springer Science & Business Media
Published: 2011-08-25
Total Pages: 481
ISBN-13: 3540710418
DOWNLOAD EBOOK →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.
