Last edited by Maushakar
Sunday, August 9, 2020 | History

8 edition of Spectral methods found in the catalog.

Spectral methods

evolution to complex geometries and applications to fluid dynamics

  • 35 Want to read
  • 11 Currently reading

Published by Springer in Berlin, London .
Written in English

    Subjects:
  • Spectral theory (Mathematics),
  • Numerical analysis,
  • Fluid dynamics -- Approximation methods

  • Edition Notes

    Includes bibliographical references (p. [545]-585) and index.

    StatementC. Canuto...[et al.]
    SeriesScientific computation
    ContributionsCanuto, C.
    Classifications
    LC ClassificationsQA320 .S624 2007
    The Physical Object
    Paginationxxx, 596 p. :
    Number of Pages596
    ID Numbers
    Open LibraryOL22768305M
    ISBN 109783540307273

    William R. Sherman, Alan B. Craig, in Understanding Virtual Reality (Second Edition), Spectral Synthesis Methods. Spectral methods of sound synthesis involve observing a sound wave’s frequency spectrum (the frequencies and amounts of each of the components that make up the sound) and re-creating that spectrum to mimic the original. Most of the sounds we hear in the real world are.   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/5(2).

      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. SPECTRAL METHODS IN MATLAB. Lloyd N. Trefethen, Spectral Methods in MATLAB, SIAM, Philadelphia, This page book is built around forty short Matlab programs, or "M-files", which do everything from demonstrating spectral accuracy on functions of varying smoothness to solving the Poisson, biharmonic, Orr-Sommerfeld, KdV, and Allen-Cahn equations.

    Nonlinear Evolution Equations: Integrability and Spectral Methods Antonio Degasperis, Allan P. Fordy, Muthusamy Lakshmanan Manchester University Press, - Mathematics - pages. "Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found.


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Spectral methods Download PDF EPUB FB2

Spectral methods, as presented by Boyd, are techniques for numerically solving differential equations. His book is a collection of A LOT of practical information presented mostly through a mathematical frame by: 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 Spectral methods book basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. About this book This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences.

The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev': Springer-Verlag Berlin Heidelberg. This text provides a hands-on introduction to spectral methods in is built around 40 short and powerful MATLAB programs.

Users of this book include advanced undergraduate and graduate students studying numerical methods for PDEs, numerical analysts, engineers, and computationally oriented physical scientists in all areas.

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 spectral element method is a high-order weighted residual technique developed by Patera and coworkers in the ‘80s that couples the tensor product efficiency of global spectral methods with the geometric flexibility of finite elements [9, 11].Locally, the mesh is structured, with the solution, data, and geometry expressed as sums of Nth-order tensor product Lagrange polynomials based on.

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. This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers.

Since spectral methods involve significant linear algebra and graphics they are very suitable for the high. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative by: The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and 5/5(1).

Spectral Methods One of the most important drawbacks to the use of time domain methods relates to the effect of numerical dispersion, which leads, at least in the linear case, to mistuning of modal frequencies. Numerical dispersion itself results from insufficient accuracy in a numerical method.

The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods.

The book gives the basics of what spectral methods are, why they are so useful, and some practical application notes. It's not rigorous, but citations are given for the curious reader to examine the theoretical foundations of spectral by: Spectral Methods Computational Fluid Dynamics SG Philipp Schlatter Version “Spectral methods” is a collective name for spatial discretisation methods that rely on an expansion of the flow solution as coefficients for ansatz functions.

These ansatz functions usually have global support on the flow domain, and spatial. From the reviews: "In Canuto, Quarteroni and Zang presented us on pages a new book on spectral methods. Now the second new book (‘Evolution of complex geometrics and application to fluid dynamics’, CHQZ3) is published and it contains further pages on spectral methods.

the book presents the actual state-of-the-art of spectral methods and yields for the active. The aim of this book is to teach you the essentials of spectral collocation methods with the aid of 40 short MATLAB® programs, or “M-files.”*Author: Lloyd Trefethen. Plenty of books exist for finite difference and finite element methods, but there are fewer books on spectral methods.

This is a self-contained presentation on the construction, implementation, and analysis of spectral methods for various differential and integral equations, with wide applications in science and engineering.

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 prese. This book describes modern applications of spectral methods, and novel algorithms for estimating spectral parameters. In the rst part of the book, we present applications of spectral methods to problems from a variety of topics including combinatorial optimization, learning and Size: KB.

Spectral Methods in Transition Metal Complexes provides a conceptual understanding on how to interpret the optical UV-vis, vibrational EPR, and NMR spectroscopy of transition metal complexes. The methods are now being applied to more complex geometries, and the spectral/hp element method, which incorporates both multi-domain spectral methods and high-order finite element methods, has been particularly successful.

This book provides a comprehensive introduction to these methods.Chebyshev and Fourier Spectral Methods Second Edition John P. Boyd University of Michigan Ann Arbor, Michigan email: [email protected] methods for solving partial differential equations (PDEs) are comparable to finite difference methods and finite element methods and involve sequences of matrix operations, so they are particularly suited to MATLAB.

This book presents the methods in their simplest form and shows how they can be applied to the solution of a wide.