Fundamentals of numerical computing:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Wiley
1997
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007526523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 268 S.: graph. Darst. |
| ISBN: | 0471163635 |
Internformat
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| 245 | 1 | 0 | |a Fundamentals of numerical computing |c L. F. Shampine; R. C. Allen; S. Pruess |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1997 | |
| 300 | |a X, 268 S.: graph. Darst. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
CHAPTER 1 ERRORS AND FLOATING POINT ARITHMETIC /
1.1 Basic Concepts 1
1.2 Examples of Floating Point Calculations 12
1.3 Case Study 1 25
1.4 Further Reading 28
CHAPTER 2 SYSTEMS OF LINEAR EQUATIONS 30
2.1 Gaussian Elimination with Partial Pivoting 32
2.2 Matrix Factorization 44
2.3 Accuracy 48
2.4 Routines Factor and Solve 61
2.5 Matrices with Special Structure 65
2.6 Case Study 2 72
CHAPTER 3 INTERPOLATION 82
3.1 Polynomial Interpolation 83
3.2 More Error Bounds 90
3.3 Newton Divided Difference Form 93
3.4 Assessing Accuracy 98
3.5 Spline Interpolation 101
3.6 Interpolation in the Plane 119
3.7 Case Study 3 725
CHAPTER 4 ROOTS OF NONLINEAR EQUATIONS 134
4.1 Bisection, Newton s Method, and the Secant Rule 137
4.2 An Algorithm Combining Bisection and the Secant Rule 150
4.3 Routines for Zero Finding 152
4.4 Condition, Limiting Precision, and Multiple Roots 757
4.5 Nonlinear Systems of Equations 760
4.6 Case Study 4 163
X CONTENTS
CHAPTER 5 NUMERICAL INTEGRATION 170
5.1 Basic Quadrature Rules 170
5.2 Adaptive Quadrature 184
5.3 Codes for Adaptive Quadrature 188
5.4 Special Devices for Integration 191
5.5 Integration of Tabular Data 200
5.6 Integration in Two Variables 202
5.7 Case Study 5 203
CHAPTER 6 ORDINARY DIFFERENTIAL EQUATIONS 210
6.1 Some Elements of the Theory 210
6.2 A Simple Numerical Scheme 216
6.3 One Step Methods 221
6.4 Errors—Local and Global 228
6.5 The Algorithms 233
6.6 The Code Rke 236
6.7 Other Numerical Methods 240
6.8 Case Study 6 244
APPENDIX A NOTATION AND SOME THEOREMS FROM THE
CALCULUS 251
A. 1 Notation 251
A.2 Theorems 252
ANSWERS TO SELECTED EXERCISES 255
INDEX 266
|
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| discipline | Informatik Mathematik |
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| id | DE-604.BV011218820 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:08:26Z |
| institution | BVB |
| isbn | 0471163635 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007526523 |
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| physical | X, 268 S.: graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Wiley |
| record_format | marc |
| spellingShingle | Shampine, Lawrence F. Allen, Richard C. Pruess, Steven Fundamentals of numerical computing Numerische Mathematik (DE-588)4042805-9 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4001183-5 |
| title | Fundamentals of numerical computing |
| title_auth | Fundamentals of numerical computing |
| title_exact_search | Fundamentals of numerical computing |
| title_full | Fundamentals of numerical computing L. F. Shampine; R. C. Allen; S. Pruess |
| title_fullStr | Fundamentals of numerical computing L. F. Shampine; R. C. Allen; S. Pruess |
| title_full_unstemmed | Fundamentals of numerical computing L. F. Shampine; R. C. Allen; S. Pruess |
| title_short | Fundamentals of numerical computing |
| title_sort | fundamentals of numerical computing |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Numerische Mathematik Algorithmus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007526523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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