Spectral Methods for Partial Differential Equations,

Abstract

Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surveyed. Basic Fourier, Chebyshev, and Legendre spectral concepts are reviewed, and demonstrated through application to simple model problems. Both collocation and tau methods are considered. These techniques are then applied to a number of difficult, nonlinear problems of hyperbolic, parabolic, elliptic, and mixed type. Fluid-dynamical applications are emphasized.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADP002980

Entities

People

  • C. L. Streett
  • M. Y. Hussaini
  • T. A. Zang

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Astronomy/Astrophysics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)