Numerical Analysis of Spectral Methods
Theory and Applications
Part of CBMS-NSF Regional Conference Series in Applied Mathematics
- Authors:
- David Gottlieb
- Steven A. Orszag
- Date Published: February 1987
- availability: Available in limited markets only
- format: Paperback
- isbn: 9780898710236
Paperback
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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.
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×Product details
- Date Published: February 1987
- format: Paperback
- isbn: 9780898710236
- length: 176 pages
- dimensions: 252 x 173 x 13 mm
- weight: 0.306kg
- availability: Available in limited markets only
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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