The numerical solution of nonlinear problems: [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers]
Gespeichert in:
Format: | Buch |
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Sprache: | English |
Veröffentlicht: |
Oxford
Clarendon Press
1981
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Schriftenreihe: | Oxford science publications
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 339 - 363 |
Beschreibung: | VIII, 369 S. graph. Darst. |
ISBN: | 0198533543 |
Internformat
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Datensatz im Suchindex
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adam_text | CONTENTS
PREFACE v
PART I: ALGEBRAIC AND TRANSCENDENTAL EQUATIONS
1. Introduction to nonlinear algebraic equations 3
2. Methods for systems of algebraic equations 20
3. Functional equations, fixed points and the Newton Kantorovich
theory 32
4. Nonlinear eigenvalue problems 43
5. Solution of polynomial equations 56
6. Globally convergent methods for zeros and fixed points 69
PART II: INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS
7. Initial value problems in ordinary differential equations 95
8. Stiff problems in differential equations: treatment of the
algebraic equations 112
9. The theory of discretizations 121
PART III: BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS
10. Implicit methods for boundary value problems 137
11. Shooting methods and parametrized problems 148
12. Applications of continuation techniques in ordinary differential
equations 159
13. Stability 171
PART IV: PARTIAL DIFFERENTIAL EQUATIONS
14. Variational principles for non linear partial differential
equations 187
15. Parabolic equations 195
PART V: INTEGRAL EQUATIONS
16. Nonlinear Fredholm equations; discretization and stability 207
17. Bifurcation in Fredholm integral equations 220
18. Volterra integral equations 233
viii
PART VI: APPROXIMATION
19. Discrete rational approximation 249
20. Exponential approximation using Prony s method 258
21. Algorithms for nonlinear approximation 270
22. Strong uniqueness in nonlinear approximation 287
PART VII: PROGRAMMING TECHNIQUES
23. Techniques for large scale problems 307
REFERENCES 339
INDEX 365
|
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isbn | 0198533543 |
language | English |
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physical | VIII, 369 S. graph. Darst. |
publishDate | 1981 |
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spelling | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] ed. by Christopher T. H. Baker ... Oxford Clarendon Press 1981 VIII, 369 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford science publications Literaturverz. S. 339 - 363 Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Nichtlineare Integralgleichung (DE-588)4240925-1 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlineare Integralgleichung (DE-588)4240925-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s Baker, Christopher T. Sonstige oth University of Liverpool Department of Computational and Statistical Science Sonstige (DE-588)1032197-4 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001308795&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
subject_GND | (DE-588)4128130-5 (DE-588)4240925-1 (DE-588)4205536-2 |
title | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] |
title_auth | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] |
title_exact_search | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] |
title_full | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] ed. by Christopher T. H. Baker ... |
title_fullStr | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] ed. by Christopher T. H. Baker ... |
title_full_unstemmed | The numerical solution of nonlinear problems [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] ed. by Christopher T. H. Baker ... |
title_short | The numerical solution of nonlinear problems |
title_sort | the numerical solution of nonlinear problems the present volume is based upon the lectures presented at a summer school held in liverpool in july 1980 the fifth in a sequence of such schools organized jointly by the department of computational and statistical science at liverpool university and the department of mathematics at the university of manchester with the help and participation of a number of external speakers |
title_sub | [the present volume is based upon the lectures presented at a Summer School held in Liverpool in July 1980, the fifth in a sequence of such schools organized jointly by the Department of Computational and Statistical Science at Liverpool University and the Department of Mathematics at the University of Manchester with the help and participation of a number of external speakers] |
topic | Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
topic_facet | Numerisches Verfahren Nichtlineare Integralgleichung Nichtlineare Differentialgleichung |
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