Numerical Analysis of Spectral Methods.

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA056922

Entities

People

  • David Gottlieb
  • Steven A. Orszag

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Value Problems
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Difference Equations
  • Differential Equations
  • Fluid Dynamics
  • Fluid Flow
  • Hydrodynamics
  • Incompressible Flow
  • Mathematical Analysis
  • Numerical Analysis
  • Three Dimensional
  • Two Dimensional
  • Weather Forecasting

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Fluid Mechanics and Fluid Dynamics.