Accession Number:

ADA109362

Title:

An Examination of Stability Criteria for Iterative Numerical Schemes Used in Solving Differential Equations

Descriptive Note:

Technical rept.

Corporate Author:

ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (UNITED KINGDOM)

Personal Author(s):

Report Date:

1981-07-01

Pagination or Media Count:

35.0

Abstract:

The stability of numerical schemes for solving algebraic finite- difference equations resulting from finite-difference approximations to differential equations is discussed. It is suggested that the von Neumann method together with its stability criterion provides a reasonably simple way of determining stability. However, there are limitations in its applicability, some of which are indicated. The method is tested in two examples and an indication is given of how best to treat first- and mixed-derivative terms occurring in differential equations. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE