Numerical analysis for applied science:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1998
|
| Series: | Pure and applied mathematics
A Wiley-Interscience publication |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 492 S. graph. Darst. |
| ISBN: | 0471552666 |
Staff View
MARC
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Record in the Search Index
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| adam_text | NUMERICAL ANALYSIS FOR APPLIED SCIENCE MYRON B. ALLEN FFL ELI L.
ISAACSON DEPARTMENT OF MATHEMATICS UNIVERSITY OF WYOMING A
WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. NEW YORK *
CHICHESTER * WEINHEIM * BRISBANE * SINGAPORE * TORONTO CONTENTS PREFACE
IX 0 SOME USEFUL TOOLS 1 0.1 INTRODUCTION 1 0.2 BOUNDED SETS 3 0.3
NORMED VECTOR SPACES 7 0.4 RESULTS FROM CALCULUS 18 0.5 PROBLEMS 24 0.6
REFERENCES 25 1 APPROXIMATION OF FUNCTIONS 27 1.1 INTRODUCTION 27 1.2
POLYNOMIAL INTERPOLATION 28 1.3 PIECEWISE POLYNOMIAL INTERPOLATION 37
1.4 HERMITE INTERPOLATION 44 1.5 INTERPOLATION IN TWO DIMENSIONS 51 1.6
SPLINES 66 1.7 LEAST-SQUARES METHODS 81 1.8 TRIGONOMETRIC INTERPOLATION
90 1.9 PROBLEMS 104 1.10 REFERENCES 106 2 DIRECT METHODS FOR LINEAR
SYSTEMS 109 2.1 INTRODUCTION 109 2.2 GAUSS ELIMINATION 111 2.3 VARIANTS
OF GAUSS ELIMINATION 126 2.4 BAND MATRICES 133 2.5 MATRIX NORMS 144 2.6
ERRORS AND ITERATIVE IMPROVEMENT 150 2.7 PROBLEMS 156 2.8 REFERENCES 159
SOLUTION OF NONLINEAR EQUATIONS 3.1 INTRODUCTION 3.2 BISECTION 3.3
SUCCESSIVE SUBSTITUTION IN ONE VARIABLE 3.4 NEWTON S METHOD IN ONE
VARIABLE 3.5 THE SECANT METHOD 3.6 SUCCESSIVE SUBSTITUTION: SEVERAL
VARIABLES 3.7 NEWTON S METHOD: SEVERAL VARIABLES 3.8 PROBLEMS 3.9
REFERENCES ITERATIVE METHODS FOR LINEAR SYSTEMS 4.1 INTRODUCTION 4.2
CONCEPTUAL FOUNDATIONS 4.3 MATRIX-SPLITTING TECHNIQUES 4.4 SUCCESSIVE
OVERRELAXATION 4.5 THE CONJUGATE-GRADIENT METHOD 4.6 PROBLEMS 4.7
REFERENCES CONTENTS 161 161 164 169 177 188 195 202 216 219 221 221 225
230 251 264 279 282 5 EIGENVALUE PROBLEMS 283 5.1 BASIC FACTS ABOUT
EIGENVALUES 283 5.2 POWER METHODS 288 5.3 THE QR METHOD: UNDERLYING
CONCEPTS 292 5.4 THE QR METHOD: IMPLEMENTATION 300 5.5 PROBLEMS 311 5.6
REFERENCES 312 6 NUMERICAL INTEGRATION 313 6.1 INTRODUCTION 313 6.2
NEWTON-COTES FORMULAS 314 6.3 ROMBERG AND ADAPTIVE QUADRATURE 323 6.4
GAUSS QUADRATURE 333 6.5 PROBLEMS 347 6.6 REFERENCES 348 7 ORDINARY
DIFFERENTIAL EQUATIONS 349 7.1 INTRODUCTION 349 7.2 ONE-STEP METHODS 351
7.3 MULTISTEP METHODS: CONSISTENCY AND STABILITY 365 CONTENTS VII 7.4
CONVERGENCE OF MULTISTEP METHODS 381 7.5 PROBLEMS 391 7.6 REFERENCES 394
8 DIFFERENCE METHODS FOR PDES 395 8.1 INTRODUCTION 395 8.2 THE POISSON
EQUATION 403 8.3 THE ADVECTION EQUATION 413 8.4 OTHER TIME-DEPENDENT
EQUATIONS 426 8.5 PROBLEMS 441 8.6 REFERENCES 444 9 INTRODUCTION TO
FINITE ELEMENTS 447 9.1 INTRODUCTION AND BACKGROUND 447 9.2 A
STEADY-STATE PROBLEM 452 9.3 A TRANSIENT PROBLEM 466 9.4 PROBLEMS 475
9.5 REFERENCES 475 APPENDIX A: DIVIDED DIFFERENCES 477 APPENDIX B: LOCAL
MINIMA 481 APPENDIX C: CHEBYSHEV POLYNOMIALS 483 INDEX 487
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:26Z |
| institution | BVB |
| isbn | 0471552666 |
| language | English |
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| physical | XI, 492 S. graph. Darst. |
| publishDate | 1998 |
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| publisher | Wiley |
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| series2 | Pure and applied mathematics A Wiley-Interscience publication |
| spelling | Allen, Myron B. 1954- Verfasser (DE-588)123650976 aut Numerical analysis for applied science Myron B. Allen ; Eli L. Isaacson New York [u.a.] Wiley 1998 XI, 492 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics A Wiley-Interscience publication ANÁLISE NUMÉRICA APLICADA larpcal Numerieke wiskunde gtt Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 Isaacson, Eli L. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007941545&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Allen, Myron B. 1954- Isaacson, Eli L. Numerical analysis for applied science ANÁLISE NUMÉRICA APLICADA larpcal Numerieke wiskunde gtt Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 |
| title | Numerical analysis for applied science |
| title_auth | Numerical analysis for applied science |
| title_exact_search | Numerical analysis for applied science |
| title_full | Numerical analysis for applied science Myron B. Allen ; Eli L. Isaacson |
| title_fullStr | Numerical analysis for applied science Myron B. Allen ; Eli L. Isaacson |
| title_full_unstemmed | Numerical analysis for applied science Myron B. Allen ; Eli L. Isaacson |
| title_short | Numerical analysis for applied science |
| title_sort | numerical analysis for applied science |
| topic | ANÁLISE NUMÉRICA APLICADA larpcal Numerieke wiskunde gtt Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | ANÁLISE NUMÉRICA APLICADA Numerieke wiskunde Numerical analysis Numerische Mathematik |
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