Numerical Analysis of Spectral Methods

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Release : 1977-01-01
Genre : Technology & Engineering
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Book Rating : 235/5 ( reviews)

Numerical Analysis of Spectral Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Analysis of Spectral Methods write by David Gottlieb. This book was released on 1977-01-01. Numerical Analysis of Spectral Methods available in PDF, EPUB and Kindle. A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.

Mathematics and the Aesthetic

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Release : 2007-12-28
Genre : Mathematics
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Book Rating : 457/5 ( reviews)

Mathematics and the Aesthetic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics and the Aesthetic write by Nathalie Sinclair. This book was released on 2007-12-28. Mathematics and the Aesthetic available in PDF, EPUB and Kindle. This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Spectral Methods

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Release : 2011-08-25
Genre : Mathematics
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Book Rating : 418/5 ( reviews)

Spectral Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods write by Jie Shen. This book was released on 2011-08-25. Spectral Methods available in PDF, EPUB and Kindle. 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.

Spectral Methods in Fluid Dynamics

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Release : 2012-12-06
Genre : Science
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Book Rating : 082/5 ( reviews)

Spectral Methods in Fluid Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods in Fluid Dynamics write by Claudio Canuto. This book was released on 2012-12-06. Spectral Methods in Fluid Dynamics available in PDF, EPUB and Kindle. This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.

Spectral Methods in MATLAB

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Release : 2000-07-01
Genre : Mathematics
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Book Rating : 656/5 ( reviews)

Spectral Methods in MATLAB - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods in MATLAB write by Lloyd N. Trefethen. This book was released on 2000-07-01. Spectral Methods in MATLAB available in PDF, EPUB and Kindle. Mathematics of Computing -- Numerical Analysis.