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Numerical Analysis of Spectral Methods

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Numerical Analysis of Spectral Methods

Numerical Analysis of Spectral Methods

Theory and Applications
David Gottlieb
Steven A. Orszag
February 1987
Paperback
9780898710236
$68.00
USD
Paperback
    Description

    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.

    Product details

    February 1987
    Paperback
    9780898710236
    176 pages
    252 × 173 × 13 mm
    0.306kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • Spectral Methods
    • Survey of Approximation Theory
    • Review of Convergence Theory
    • Algebraic Stability
    • Spectral Methods Using Fourier Series
    • Applications of Algebraic Stability Analysis
    • Constant Coefficient Hyperbolic Equations
    • Time Differencing
    • Efficient Implementation of Spectral Methods
    • Numerical Results for Hyperbolic Problems
    • Advection-Diffusion Equation
    • Models of Incompressible Fluid Dynamics
    • Miscellaneous Applications of Spectral Methods
    • Survey of Spectral Methods and Applications
    • Properties of Chebyshev and Legendre Polynomial Expansions.
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