Accession Number:

ADA126082

Title:

Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation,

Descriptive Note:

Corporate Author:

STANFORD UNIV CA DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1983-01-01

Pagination or Media Count:

21.0

Abstract:

We present a collection of stability results for finite difference approximations to the advection-diffusion equation sub ut a sub ux b sub uxx. The results are for centered difference schemes in space and include explicit schemes in time up to fourth order and schemes that use different space and time discretizations for the advective and diffusive terms. The results are derived from a uniform framework based on the Schur-Cohn theory of simple von Neumann Polynomials and are necessary and sufficient for the stability of the Cauchy problem. Some of the results are believed to be new. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE