Scientific computing with MATLAB:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English Italian |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Texts in computational science and engineering
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Ital. übers. |
| Beschreibung: | IX, 257 S. graph. Darst. |
| ISBN: | 3540443630 |
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| 245 | 1 | 0 | |a Scientific computing with MATLAB |c Alfio Quarteroni ; Fausto Saleri |
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| 650 | 4 | |a Datenverarbeitung | |
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Datensatz im Suchindex
| _version_ | 1804130078693523456 |
|---|---|
| adam_text | ALFIO QUARTERONI FAUSTO SALERI SCIENTIFIC COMPUTING WITH MATLAB SPRINGER
CONTENTS 1. WHAT CAN T BE IGNORED 1 1.1 REAL NUMBERS 1 1.1.1 HOW DO WE
REPRESENT THEM 2 1.1.2 HOW DO WE OPERATE WITH FLOATING-POINT NUMBERS . 4
1.2 COMPLEX NUMBERS . 6 1.3 MATRICES 8 1.3.1 VECTORS 13 1.4 REAL
FUNCTIONS 14 1.4.1 THE ZEROS 16 1.4.2 POLYNOMIALS 17 1.4.3 INTEGRATION
AND DIFFERENTIATION 19 1.5 TO ERR IS NOT ONLY HUMAN 21 1.5.1 TALKING
ABOUT COSTS 24 1.6 A FEW MORE WORDS ABOUT MATLAB 26 1.6.1 MATLAB
STATEMENTS 29 1.6.2 PROGRAMMING IN MATLAB 30 1.7 WHAT WE HAVEN T TOLD
YOU 34 1.8 EXERCISES 34 2. NONLINEAR EQUATIONS 37 2.1 THE BISECTION
METHOD 38 2.2 THE NEWTON METHOD 42 VIII CONTENTS 2.3 FIXED POINT
ITERATIONS 47 2.3.1 HOW TO TERMINATE FIXED POINT ITERATIONS 50 2.4 WHAT
WE HAVEN T TOLD YOU 51 2.5 EXERCISES 53 3. APPROXIMATION OF FUNCTIONS
AND DATA 57 3.1 INTERPOLATION 59 3.1.1 LAGRANGIAN POLYNOMIAL
INTERPOLATION 60 3.1.2 CHEBYSHEV INTERPOLATION 66 3.1.3 TRIGONOMETRIC
INTERPOLATION AND FFT 67 3.2 PIECEWISE LINEAR INTERPOLATION 72 3.3
APPROXIMATION BY SPLINE FUNCTIONS 74 3.4 THE LEAST SQUARES METHOD 76 3.5
WHAT WE HAVEN T TOLD YOU 80 3.6 EXERCISES 81 4. NUMERICAL
DIFFERENTIATION AND INTEGRATION 83 4.1 APPROXIMATION OF FUNCTION
DERIVATIVES 84 4.2 NUMERICAL INTEGRATION 87 4.2.1 MIDPOINT FORMULA 87
4.2.2 TRAPEZOIDAL FORMULA 89 4.2.3 SIMPSON FORMULA 92 4.3 SIMPSON
ADAPTIVE FORMULA 95 4.4 WHAT WE HAVEN T TOLD YOU 99 4.5 EXERCISES 100 5.
LINEAR SYSTEMS 103 5.1 THE LU FACTORIZATION METHOD 106 5.2 THE TECHNIQUE
OF PIVOTING 113 5.3 HOW ACCURATE IS THE LU FACTORIZATION? 115 5.4 HOW TO
SOLVE A TRIDIAGONAL SYSTEM 120 5.5 ITERATIVE METHODS 122 5.5.1 HOW TO
CONSTRUCT AN ITERATIVE METHOD 123 5.6 WHEN SHOULD AN ITERATIVE METHOD BE
STOPPED? 128 5.7 RICHARDSON METHOD 130 5.8 WHAT WE HAVEN T TOLD YOU 134
5.9 EXERCISES 134 6. EIGENVALUES AND EIGENVECTORS 137 6.1 THE POWER
METHOD 140 6.1.1 CONVERGENCE ANALYSIS 142 6.2 GENERALIZATION OF THE
POWER METHOD 144 6.3 HOW TO COMPUTE THE SHIFT 146 CONTENTS IX 6.4
COMPUTATION OF ALL THE EIGENVALUES 148 6.5 WHAT WE HAVEN T TOLD YOU 149
6.6 EXERCISES 150 7. ORDINARY DIFFERENTIAL EQUATIONS 153 7.1 THE CAUCHY
PROBLEM 155 7.2 EULER METHODS 156 7.2.1 CONVERGENCE ANALYSIS 158 7.3 THE
CRANK-NICOLSON METHOD 162 7.4 ZERO-STABILITY 163 7.5 STABILITY ON
UNBOUNDED INTERVALS 165 7.5.1 ABSOLUTE STABILITY CONTROLS PERTURBATIONS
168 7.6 HIGH ORDER METHODS 174 7.7 THE PREDICTOR-CORRECTOR METHODS 176
7.8 SYSTEMS OF DIFFERENTIAL EQUATIONS 179 7.9 WHAT WE HAVEN T TOLD YOU
182 7.10 EXERCISES 184 8. NUMERICAL METHODS FOR BOUNDARY-VALUE PROBLEMS
187 8.1 APPROXIMATION OF BOUNDARY-VALUE PROBLEMS 190 8.1.1 APPROXIMATION
BY FINITE DIFFERENCES 190 8.1.2 APPROXIMATION BY FINITE ELEMENTS 192 8.2
FINITE DIFFERENCES IN 2 DIMENSIONS 195 8.2.1 CONSISTENCY AND CONVERGENCE
202 8.3 WHAT WE HAVEN T TOLD YOU 204 8.4 EXERCISES 205 9. SOLUTIONS OF
THE EXERCISES 207 9.1 CHAPTER 1 207 9.2 CHAPTER 2 209 9.3 CHAPTER 3 215
9.4 CHAPTER 4 219 9.5 CHAPTER 5 223 9.6 CHAPTER 6 228 9.7 CHAPTER 7 232
9.8 CHAPTER 8 241 BIBLIOGRAPHY 245 INDEX OF MATLAB PROGRAMS 249 INDEX
251
|
| any_adam_object | 1 |
| author | Quarteroni, Alfio 1952- Saleri, Fausto 1965-2007 |
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| author_role | aut aut |
| author_sort | Quarteroni, Alfio 1952- |
| author_variant | a q aq f s fs |
| building | Verbundindex |
| bvnumber | BV017231587 |
| callnumber-first | Q - Science |
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| callnumber-subject | Q - General Science |
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| dewey-full | 502/.85/53 502/.85/5321 |
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| dewey-search | 502/.85/53 502/.85/53 21 |
| dewey-sort | 3502 285 253 |
| dewey-tens | 500 - Natural sciences and mathematics |
| discipline | Allgemeine Naturwissenschaft Informatik Mathematik |
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| indexdate | 2024-07-09T19:15:19Z |
| institution | BVB |
| isbn | 3540443630 |
| language | English Italian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010384046 |
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| physical | IX, 257 S. graph. Darst. |
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| series | Texts in computational science and engineering |
| series2 | Texts in computational science and engineering |
| spelling | Quarteroni, Alfio 1952- Verfasser (DE-588)120370158 aut Introduzione al calcolo scientifico Scientific computing with MATLAB Alfio Quarteroni ; Fausto Saleri Berlin [u.a.] Springer 2003 IX, 257 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in computational science and engineering 2 Aus dem Ital. übers. MATLAB. Sciences - Informatique Datenverarbeitung Naturwissenschaft Science -- Data processing Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 s MATLAB (DE-588)4329066-8 s DE-604 Numerische Mathematik (DE-588)4042805-9 s Saleri, Fausto 1965-2007 Verfasser (DE-588)120434571 aut Texts in computational science and engineering 2 (DE-604)BV016971315 2 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010384046&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quarteroni, Alfio 1952- Saleri, Fausto 1965-2007 Scientific computing with MATLAB Texts in computational science and engineering MATLAB. Sciences - Informatique Datenverarbeitung Naturwissenschaft Science -- Data processing Numerische Mathematik (DE-588)4042805-9 gnd MATLAB (DE-588)4329066-8 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4329066-8 (DE-588)4338507-2 |
| title | Scientific computing with MATLAB |
| title_alt | Introduzione al calcolo scientifico |
| title_auth | Scientific computing with MATLAB |
| title_exact_search | Scientific computing with MATLAB |
| title_full | Scientific computing with MATLAB Alfio Quarteroni ; Fausto Saleri |
| title_fullStr | Scientific computing with MATLAB Alfio Quarteroni ; Fausto Saleri |
| title_full_unstemmed | Scientific computing with MATLAB Alfio Quarteroni ; Fausto Saleri |
| title_short | Scientific computing with MATLAB |
| title_sort | scientific computing with matlab |
| topic | MATLAB. Sciences - Informatique Datenverarbeitung Naturwissenschaft Science -- Data processing Numerische Mathematik (DE-588)4042805-9 gnd MATLAB (DE-588)4329066-8 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| topic_facet | MATLAB. Sciences - Informatique Datenverarbeitung Naturwissenschaft Science -- Data processing Numerische Mathematik MATLAB Wissenschaftliches Rechnen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010384046&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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