The theory of singular perturbations:
The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of sol...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam New York
Elsevier
1996
|
| Schriftenreihe: | North-Holland series in applied mathematics and mechanics
v. 42 |
| Schlagworte: | |
| Online-Zugang: | FLA01 Volltext |
| Zusammenfassung: | The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Ḡding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises |
| Beschreibung: | Includes bibliographical references (pages 331-338) and index |
| Beschreibung: | 1 online resource (xii, 340 pages) illustrations |
| ISBN: | 9780444821706 0444821708 9780080542751 0080542751 |
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| 245 | 1 | 0 | |a The theory of singular perturbations |c E.M. de Jager, Jiang Furu |
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| 490 | 0 | |a North-Holland series in applied mathematics and mechanics |v v. 42 | |
| 500 | |a Includes bibliographical references (pages 331-338) and index | ||
| 520 | |a The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Ḡding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
| 650 | 7 | |a Singular perturbations (Mathematics) |2 fast | |
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| 650 | 7 | |a Storingsrekening |2 gtt | |
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Datensatz im Suchindex
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| author | Jager, E. M. de |
| author_facet | Jager, E. M. de |
| author_role | aut |
| author_sort | Jager, E. M. de |
| author_variant | e m d j emd emdj |
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| bvnumber | BV046123590 |
| collection | ZDB-33-ESD |
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| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV046123590 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:35:48Z |
| institution | BVB |
| isbn | 9780444821706 0444821708 9780080542751 0080542751 |
| language | English |
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| publishDate | 1996 |
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| series2 | North-Holland series in applied mathematics and mechanics |
| spelling | Jager, E. M. de Verfasser aut The theory of singular perturbations E.M. de Jager, Jiang Furu Amsterdam New York Elsevier 1996 1 online resource (xii, 340 pages) illustrations txt rdacontent c rdamedia cr rdacarrier North-Holland series in applied mathematics and mechanics v. 42 Includes bibliographical references (pages 331-338) and index The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Ḡding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises MATHEMATICS / Differential Equations / General bisacsh Singular perturbations (Mathematics) fast Differentiaalvergelijkingen gtt Storingsrekening gtt Singulariteiten gtt Perturbations singulières (Mathématiques) ram Singular perturbations (Mathematics) Partieller Differentialoperator (DE-588)4173439-7 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 s Partieller Differentialoperator (DE-588)4173439-7 s 1\p DE-604 Störungstheorie (DE-588)4128420-3 s 2\p DE-604 Furu, Jiang Sonstige oth http://www.sciencedirect.com/science/book/9780444821706 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jager, E. M. de The theory of singular perturbations MATHEMATICS / Differential Equations / General bisacsh Singular perturbations (Mathematics) fast Differentiaalvergelijkingen gtt Storingsrekening gtt Singulariteiten gtt Perturbations singulières (Mathématiques) ram Singular perturbations (Mathematics) Partieller Differentialoperator (DE-588)4173439-7 gnd Störungstheorie (DE-588)4128420-3 gnd Singuläre Störung (DE-588)4055100-3 gnd |
| subject_GND | (DE-588)4173439-7 (DE-588)4128420-3 (DE-588)4055100-3 |
| title | The theory of singular perturbations |
| title_auth | The theory of singular perturbations |
| title_exact_search | The theory of singular perturbations |
| title_full | The theory of singular perturbations E.M. de Jager, Jiang Furu |
| title_fullStr | The theory of singular perturbations E.M. de Jager, Jiang Furu |
| title_full_unstemmed | The theory of singular perturbations E.M. de Jager, Jiang Furu |
| title_short | The theory of singular perturbations |
| title_sort | the theory of singular perturbations |
| topic | MATHEMATICS / Differential Equations / General bisacsh Singular perturbations (Mathematics) fast Differentiaalvergelijkingen gtt Storingsrekening gtt Singulariteiten gtt Perturbations singulières (Mathématiques) ram Singular perturbations (Mathematics) Partieller Differentialoperator (DE-588)4173439-7 gnd Störungstheorie (DE-588)4128420-3 gnd Singuläre Störung (DE-588)4055100-3 gnd |
| topic_facet | MATHEMATICS / Differential Equations / General Singular perturbations (Mathematics) Differentiaalvergelijkingen Storingsrekening Singulariteiten Perturbations singulières (Mathématiques) Partieller Differentialoperator Störungstheorie Singuläre Störung |
| url | http://www.sciencedirect.com/science/book/9780444821706 |
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