Spectral Methods for Time Dependent Problems

Abstract

This short review on spectral approximations for time-dependent problems consists of three parts. In part I we discuss some basic ingredients from the spectral Fourier and Chebyshev approximation theory. Part II contains a brief survey on hyperbolic and parabolic and parabolic time-dependent problems which are dealt with both the energy method and the related Fourier analysis. In part III we combine the ideas presented in the first two parts, in our study of accuracy stability and convergence of the spectral Fourier approximation to time-dependent problems.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1990
Accession Number
ADA228325

Entities

People

  • Eitan Tadmor

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Chebyshev Approximations
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computers
  • Contracts
  • Convergence
  • Differential Equations
  • Dynamics
  • Eigenvalues
  • Energy Conservation
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fourier Analysis
  • Wave Equations

Readers

  • Approximation Theory.
  • Business Analytics
  • Computational Fluid Dynamics (CFD)