Matched Asymptotic Expansions: Ideas and Techniques
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schriftenreihe: | Applied Mathematical Sciences
76 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coauthor) contained discussions of many methods and examples of singular perturbation problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of averaging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophisticated and involved calculations, or advanced knowledge of a special field, are not treated; for instance, to the author's regret some very interesting applications to fluid mechanics had to be omitted for this reason. Artificial mathematical examples introduced to show some exotic or unexpected behavior are omitted, except when they are analytically simple and are needed to illustrate mathematical phenomena important for realistic problems. Problems of numerical analysis are not discussed |
| Beschreibung: | 1 Online-Ressource (XII, 252 p) |
| ISBN: | 9781475719901 9781441930866 |
| DOI: | 10.1007/978-1-4757-1990-1 |
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| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475719901 9781441930866 |
| language | English |
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| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Lagerstrom, P. A. Verfasser aut Matched Asymptotic Expansions Ideas and Techniques by P. A. Lagerstrom New York, NY Springer New York 1988 1 Online-Ressource (XII, 252 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 76 Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coauthor) contained discussions of many methods and examples of singular perturbation problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of averaging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophisticated and involved calculations, or advanced knowledge of a special field, are not treated; for instance, to the author's regret some very interesting applications to fluid mechanics had to be omitted for this reason. Artificial mathematical examples introduced to show some exotic or unexpected behavior are omitted, except when they are analytically simple and are needed to illustrate mathematical phenomena important for realistic problems. Problems of numerical analysis are not discussed Mathematics Global analysis (Mathematics) Analysis Mathematik Applied Mathematical Sciences 76 (DE-604)BV040244599 76 https://doi.org/10.1007/978-1-4757-1990-1 Verlag Volltext |
| spellingShingle | Lagerstrom, P. A. Matched Asymptotic Expansions Ideas and Techniques Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Analysis Mathematik |
| title | Matched Asymptotic Expansions Ideas and Techniques |
| title_auth | Matched Asymptotic Expansions Ideas and Techniques |
| title_exact_search | Matched Asymptotic Expansions Ideas and Techniques |
| title_full | Matched Asymptotic Expansions Ideas and Techniques by P. A. Lagerstrom |
| title_fullStr | Matched Asymptotic Expansions Ideas and Techniques by P. A. Lagerstrom |
| title_full_unstemmed | Matched Asymptotic Expansions Ideas and Techniques by P. A. Lagerstrom |
| title_short | Matched Asymptotic Expansions |
| title_sort | matched asymptotic expansions ideas and techniques |
| title_sub | Ideas and Techniques |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| url | https://doi.org/10.1007/978-1-4757-1990-1 |
| volume_link | (DE-604)BV040244599 |
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