UID:
almahu_9947367581202882
Format:
1 online resource (153 p.)
ISBN:
1-281-77335-2
,
9786611773359
,
0-08-087117-8
Series Statement:
North-Holland mathematics studies ; 6
Content:
Matched asymptotic expansions and singular perturbations
Note:
Lectures presented at the Summer Course on Singular Perturbations in Breau, France, July 1972.
,
FrontCover; Matched Asymptotic Expansions and Singular Perturbations; Copyright Page; Preface; Contents; Chapter 1. General concepts.; 1. 1. Regular and singular perturbations; 1 .2. Orders of magnitude; 1. 3. Asymptotic approximations. Regular approximations in a subdomain; 1. 4. Regular and local approximations; 1. 5. Expansion operators for regular and local approximations; 1. 6. Matching rules; Chapter 2. Elementary heuristic reasoning in singular perturbations.; 2. 1. The elementary method of construction
,
2. 2. Application to linear ordinary differential equations with constant coefficients2. 3. Application to linear ordinary differential equations with non-constant coefficients; 2. 4. Remarks on the turning-point problem; 2. 5. Linear elliptic problems without turning point; 2. 6. On non-linear problems; Chapter 3. The structure of the approximations.; 3. 1. Failures of the elementary method; 3. 2. Significant approximations; 3. 3. Significant degenerations; 3. 4. Relation between significant degenerations and significant approximations
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3. 5. Application to problems of birth of boundary layers3. 6. The non-elementary terms and the construction of formal expansions by iteration; Bibliography
,
English
Additional Edition:
ISBN 0-444-10438-0
Language:
English
