Accession Number:

ADA056922

Title:

Numerical Analysis of Spectral Methods.

Descriptive Note:

Contractor rept.,

Corporate Author:

CAMBRIDGE HYDRODYNAMICS INC MA

Personal Author(s):

• Gottlieb,David
• Orszag,Steven A.

Report Date:

1977-06-01

Pagination or Media Count:

275.0

Abstract:

This monograph gives a mathematical analysis of spectral methods for mixed initial-boundary value problems. Spectral methods have become increasingly popular in recent years, especially since the development of fast transform methods, with applications in numerical weather prediction, numerical simulations of turbulent flows, and other problems where high accuracy is desired for complicated solutions. The development of a mathematical theory is given that explains why spectral methods work and how well they work.

Descriptors:

• *BOUNDARY VALUE PROBLEMS
• *NUMERICAL METHODS AND PROCEDURES
• TURBULENT FLOW
• WEATHER FORECASTING
• CONVERGENCE
• FAST FOURIER TRANSFORMS
• FLUID DYNAMICS
• SPECTRUM ANALYSIS
• HEAT TRANSMISSION
• CHEBYSHEV POLYNOMIALS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE