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gottlieb david ; orszag steven a. - numerical analysis of spectral methods

Numerical Analysis of Spectral Methods Theory and Applications

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 01/1987





Note Editore

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.




Sommario

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.




Prefazione

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.










Altre Informazioni

ISBN:

9780898710236

Condizione: Nuovo
Collana: CBMS-NSF Regional Conference Series in Applied Mathematics
Dimensioni: 228 x 13 x 152 mm Ø 306 gr
Formato: Brossura
Pagine Arabe: 176


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