Accession Number:

ADP002934

Title:

Asymptotics and Numerics,

Descriptive Note:

Corporate Author:

RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

• Cole,J. D.

Report Date:

1984-02-01

Pagination or Media Count:

11.0

Abstract:

Limit process expansions applied to problems for partial differential equations are discussed. Three different types of non-uniformities, non-linear far field, non-linear local singularity, and singular boundary conditions are illustrated by example. The use of different limits to construct overlapping expansions is emphasized. Matching is sketched briefly.

Descriptors:

• *Partial differential equations
• *Nonlinear analysis
• Flow fields
• Protuberances
• Two dimensional flow
• Asymptotic series
• Limitations
• Expansion
• Matching
• Far field
• Applied mathematics

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE