Asymptotics and Numerics,

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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.

Author(s):
Cole, J. D.
Author Organization(s):
RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES
Supplementary Note:
This article is from 'Transactions of the Army Conference on Applied Mathematics and Computing (1st) Held at Washington, DC on 9-11 May 1983,' AD-A139 224, p1-26. Prepared in cooperation with Minnesota Univ., Minneapolis. Dept. of Aerospace Engineering and Mechanics.
Pagination:
0011

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Subject Terms
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*Partial differential equations, *Nonlinear analysis, Flow fields, Protuberances, Two dimensional flow, Asymptotic series, Limitations, Expansion, Matching, Far field, Applied mathematics
Keyword(s):
Asymptotic analysis, Limit process expansions, Component Reports
Report Date:
1984 Feb 01