Accession Number:

ADA089650

Title:

Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II.

Descriptive Note:

Interim rept.,

Corporate Author:

CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s):

• Goldberg,Moshe
• Tadmor,Eitan

Report Date:

1980-08-01

Pagination or Media Count:

47.0

Abstract:

Convenient stability criteria are obtained for difference approximations to hyperbolic initial-boundary value problems. The approximations consist of arbitrary basic schemes and a wide class of boundary conditions. The new criteria are given in terms of the outlfow part of the boundary conditions and are independent of the basic scheme. The results easily imply that a number of well known boundary treatments, when used in combination with arbitrary stable basic schemes, always maintain stability. Consequently, many special cases studied in recent literature are generalized. Author

Descriptors:

• *FINITE DIFFERENCE THEORY
• *BOUNDARY VALUE PROBLEMS
• *PARTIAL DIFFERENTIAL EQUATIONS
• STABILITY
• APPROXIMATION(MATHEMATICS)
• SCALAR FUNCTIONS
• VECTOR SPACES
• THEOREMS
• HYPERGEOMETRIC FUNCTIONS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE