Numerical methods in practice: using the NAG library
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wokingham u.a.
Addison-Wesley
1988
|
| Schriftenreihe: | International computer science series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 308 S. |
| ISBN: | 0201192489 |
Internformat
MARC
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| 245 | 1 | 0 | |a Numerical methods in practice |b using the NAG library |c Tim Hopkins ; Chris Phillips |
| 264 | 1 | |a Wokingham u.a. |b Addison-Wesley |c 1988 | |
| 300 | |a XI, 308 S. | ||
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Datensatz im Suchindex
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| adam_text | Contents
Foreword v
Preface vii
Chapter 1 Introduction 1
1.1 Introduction to problem solving 1
1.2 Numerical analysis and algorithms 4
1.3 Computer arithmetic 6
1.4 Fortran 77 15
1.5 Variable typing in Fortran 17
1.6 Arrays, workspace and paging 20
1.7 Introduction to the NAG library 25
1.8 Routine names and documentation 28
1.9 The error handler 30
1.10 Calling a NAG routine 32
1.11 Passing parameters to NAG routines 33
1.12 Example calls 36
1.13 Common problems 48
1.14 Iterative methods 51
1.15 Ill conditioning and instability 54
1.16 Orders 56
1.17 Measures of size 60
Chapter 2 Roots of Functions 63
2.1 Introduction 63
2.2 The method of bisection 67
2.3 Methods of linear interpolation 72
2.4 The NAG COS routines 77
2.5 Polynomial equations 82
2.6 Newton s method 83
2.7 Polynomial evaluation and deflation 85
2.8 Newton s method and complex roots 90
2.9 The NAG polynomial solvers 92
2.10 Systems of nonlinear equations 94
2.11 Summary 104
ix
X CONTENTS
Chapter 3 Quadrature 106
3.1 What is quadrature? 106
3.2 Integration of interpolating polynomials 110
3.3 Rules with high degree of precision 112
3.4 Orthogonal polynomials and Gauss rules 115
3.5 The Kronrod and Patterson schemes 120
3.6 Adaptive quadrature 121
3.7 Series approximation and quadrature 127
3.8 Special integrals 128
3.9 Cubic interpolation 135
3.10 Generalized Gaussian quadrature 139
3.11 The D01 direct routines 141
3.12 Summary 146
Chapter 4 Linear Equations 149
4.1 Introduction 149
4.2 Matrix definitions 151
4.3 The solution of triangular systems 155
4.4 Elementary row operations and elimination 156
4.5 Pivoting 159
4.6 LU factorization and Crout s method 162
4.7 Condition numbers 166
4.8 Use of the NAG routine F04ARF 167
4.9 Accurate solutions using F04ATF 169
4.10 Multiple right hand side routines 171
4.11 Cholesky decomposition 171
4.12 Banded matrices 173
4.13 Black box vs. general purpose routines 178
4.14 Determinant evaluation and matrix inversion 180
4.15 Complex problems 182
4.16 Summary 183
Chapter 5 Curve Fitting 185
5.1 Introduction 185
5.2 Least squares approximation 187
5.3 Chebyshev expansions 190
5.4 Chebyshev approximation 193
5.5 The NAG least squares approximation routines 196
5.6 Spline approximation 198
5.7 Least squares spline approximation 204
5.8 Surface fitting 207
5.9 Interpolation — Aitken s method 213
5.10 Interpolation — Everett s formula 216
5.11 Function and derivative interpolation 217
5.12 Interpolation using splines 220
CONTENTS xi
5.13 Summary 222
Chapter 6 Ordinary Differential Equations 224
6.1 Introduction 224
6.2 Introduction to numerical methods 229
6.3 Introduction to Runge Kutta methods 237
6.4 The Runge Kutta Merson algorithm 240
6.5 Linear multistep methods 247
6.6 The NAG Merson routines 254
6.7 The NAG Adams routines 261
6.8 Methods for stiff problems 263
6.9 Using the NAG ODE solvers 266
6.10 Summary 268
Appendix A Solutions to Exercises 271
Appendix B NAG Graphics 287
Appendix C Toolpack 292
Bibliography 293
NAG Routine Index 299
Index 302
|
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| id | DE-604.BV004124060 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:08:45Z |
| institution | BVB |
| isbn | 0201192489 |
| language | English |
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| physical | XI, 308 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Addison-Wesley |
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| series2 | International computer science series |
| spelling | Hopkins, Tim Verfasser aut Numerical methods in practice using the NAG library Tim Hopkins ; Chris Phillips Wokingham u.a. Addison-Wesley 1988 XI, 308 S. txt rdacontent n rdamedia nc rdacarrier International computer science series NAG library Analyse numérique - Informatique Fortran (Langage de programmation) Sous-programmes (Logiciels) Datenverarbeitung FORTRAN (Computer program language) Numerical analysis Data processing Subroutines (Computer programs) Algorithmus (DE-588)4001183-5 gnd rswk-swf Algorithmus (DE-588)4001183-5 s DE-604 Phillips, Chris Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002573939&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hopkins, Tim Phillips, Chris Numerical methods in practice using the NAG library NAG library Analyse numérique - Informatique Fortran (Langage de programmation) Sous-programmes (Logiciels) Datenverarbeitung FORTRAN (Computer program language) Numerical analysis Data processing Subroutines (Computer programs) Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4001183-5 |
| title | Numerical methods in practice using the NAG library |
| title_auth | Numerical methods in practice using the NAG library |
| title_exact_search | Numerical methods in practice using the NAG library |
| title_full | Numerical methods in practice using the NAG library Tim Hopkins ; Chris Phillips |
| title_fullStr | Numerical methods in practice using the NAG library Tim Hopkins ; Chris Phillips |
| title_full_unstemmed | Numerical methods in practice using the NAG library Tim Hopkins ; Chris Phillips |
| title_short | Numerical methods in practice |
| title_sort | numerical methods in practice using the nag library |
| title_sub | using the NAG library |
| topic | NAG library Analyse numérique - Informatique Fortran (Langage de programmation) Sous-programmes (Logiciels) Datenverarbeitung FORTRAN (Computer program language) Numerical analysis Data processing Subroutines (Computer programs) Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | NAG library Analyse numérique - Informatique Fortran (Langage de programmation) Sous-programmes (Logiciels) Datenverarbeitung FORTRAN (Computer program language) Numerical analysis Data processing Subroutines (Computer programs) Algorithmus |
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