Accession Number:

AD0773387

Title:

Stable Approximations for Hyperbolic Systems with Moving Internal Boundary Conditions,

Descriptive Note:

Corporate Author:

TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

• Goldberg,M.
• Abarbanel,S.

Report Date:

1972-12-01

Pagination or Media Count:

85.0

Abstract:

In many physical problems which are described by time dependent partial differential equations moving discontinuities occur. In numerical calculations one often applies special schemes in the vicinity of these discontinuities. These methods are quite successful. However, no analytical justification had been available. In the report the authors succeed in supplying this justification for a rather realistic class of methods. General stability theorems are derived and special schemes are analyzed completely. The findings are also supported by numerical calculations. Author

Descriptors:

• *FINITE DIFFERENCE THEORY
• MATRICES(MATHEMATICS)
• APPROXIMATION(MATHEMATICS)
• COMPUTATIONS
• APPLIED MATHEMATICS
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE