The theory of singular perturbations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
1996
|
| Schriftenreihe: | North-Holland series in applied mathematics and mechanics
v. 42 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Includes bibliographical references (pages 331-338) and index |
| Beschreibung: | 1 Online-Ressource (xii, 340 pages) |
| ISBN: | 9780444821706 0444821708 9780080542751 0080542751 |
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| 264 | 1 | |a Amsterdam |b Elsevier |c 1996 | |
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| 490 | 0 | |a North-Holland series in applied mathematics and mechanics |v v. 42 | |
| 500 | |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 | ||
| 500 | |a Includes bibliographical references (pages 331-338) and index | ||
| 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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|---|---|
| any_adam_object | |
| author | Jager, E. M. de, (Eduardus Marie de) |
| author_facet | Jager, E. M. de, (Eduardus Marie de) |
| author_role | aut |
| author_sort | Jager, E. M. de, (Eduardus Marie de) |
| author_variant | e m d e m d j emdemd emdemdj |
| building | Verbundindex |
| bvnumber | BV042315730 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (OCoLC)162131062 (DE-599)BVBBV042315730 |
| 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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| institution | BVB |
| isbn | 9780444821706 0444821708 9780080542751 0080542751 |
| language | English |
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| spelling | Jager, E. M. de, (Eduardus Marie de) Verfasser aut The theory of singular perturbations E.M. de Jager, Jiang Furu Amsterdam Elsevier 1996 1 Online-Ressource (xii, 340 pages) txt rdacontent c rdamedia cr rdacarrier North-Holland series in applied mathematics and mechanics v. 42 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 Includes bibliographical references (pages 331-338) and index MATHEMATICS / Differential Equations / General bisacsh Singular perturbations (Mathematics) fast Differentiaalvergelijkingen gtt Storingsrekening gtt Singulariteiten gtt Perturbations singulières (Mathématiques) ram Singular perturbations (Mathematics) Störungstheorie (DE-588)4128420-3 gnd rswk-swf Partieller Differentialoperator (DE-588)4173439-7 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 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, (Eduardus Marie 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) Störungstheorie (DE-588)4128420-3 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd Singuläre Störung (DE-588)4055100-3 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4173439-7 (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) Störungstheorie (DE-588)4128420-3 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd Singuläre Störung (DE-588)4055100-3 gnd |
| topic_facet | MATHEMATICS / Differential Equations / General Singular perturbations (Mathematics) Differentiaalvergelijkingen Storingsrekening Singulariteiten Perturbations singulières (Mathématiques) Störungstheorie Partieller Differentialoperator Singuläre Störung |
| url | http://www.sciencedirect.com/science/book/9780444821706 |
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