Numerical Analysis of Spectral Methods

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

• Condizione: Nuovo
• ISBN: 9780898710236
• Collana: CBMS-NSF Regional Conference Series in Applied Mathematics
• Dimensioni: 228 x 13 x 152 mm Ø 306 gr
• Formato: Brossura
• Pagine Arabe: 176