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Numerical analysis:

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Bibliographische Detailangaben
Beteilige Person:	Kress, Rainer 1941- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Springer 1998
Schriftenreihe:	Graduate texts in mathematics 181
Schlagwörter:	Análisis numérico Numerische Mathematik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008161201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 317 - 321
Umfang:	XII, 326 S. graph. Darst.
ISBN:	0387984089

Internformat

MARC


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Datensatz im Suchindex

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adam_text	RAINER KRESS NUMERICAL ANALYSIS WITH 11 ILLUSTRATIONS SPRINGER CONTENTS 1 INTRODUCTION 1 2 LINEAR SYSTEMS 5 2.1 EXAMPLES FOR SYSTEMS OF EQUATIONS 6 2.2 GAUSSIAN ELIMINATION 11 2.3 LR DECOMPOSITION 18 2.4 QR DECOMPOSITION 19 PROBLEMS 23 3 BASIC FUNCTIONAL ANALYSIS 25 3.1 NORMED SPACES 26 3.2 SCALAR PRODUCTS 29 3.3 BOUNDED LINEAR OPERATORS 32 3.4 MATRIX NORMS V 34 3.5 COMPLETENESS 40 3.6 THE BANACH FIXED POINT THEOREM 43 3.7 BEST APPROXIMATION 47 PROBLEMS 49 4 ITERATIVE METHODS FOR LINEAR SYSTEMS 53 4.1 JACOBI AND GAUSS-SEIDEL ITERATIONS 53 4.2 RELAXATION METHODS . . 60 4.3 TWO-GRID METHODS 68 PROBLEMS 75 VIII CONTENTS 5 ILL-CONDITIONED LINEAR SYSTEMS 77 5.1 CONDITION NUMBER 78 5.2 SINGULAR VALUE DECOMPOSITION 81 5.3 TIKHONOV REGULARIZATION 86 PROBLEMS 90 6 ITERATIVE METHODS FOR NONLINEAR SYSTEMS 93 6.1 SUCCESSIVE APPROXIMATIONS 94 6.2 NEWTON'S METHOD 101 6.3 ZEROS OF POLYNOMIALS 110 6.4 LEAST SQUARES PROBLEMS 114 PROBLEMS 117 7 MATRIX EIGENVALUE PROBLEMS 119 7.1 EXAMPLES 120 7.2 ESTIMATES FOR THE EIGENVALUES 122 7.3 THE JACOBI METHOD 126 7.4 THE QR ALGORITHM 133 7.5 HESSENBERG MATRICES 144 PROBLEMS 149 8 INTERPOLATION 151 8.1 POLYNOMIAL INTERPOLATION 152 8.2 TRIGONOMETRIC INTERPOLATION 161 8.3 SPLINE INTERPOLATION 169 8.4 BEZIER POLYNOMIALS 179 PROBLEMS 186 9 NUMERICAL INTEGRATION 189 9.1 INTERPOLATORY QUADRATURES 190 9.2 CONVERGENCE OF QUADRATURE FORMULAE 198 9.3 GAUSSIAN QUADRATURE FORMULAE 200 9.4 QUADRATURE OF PERIODIC FUNCTIONS 207 9.5 ROMBERG INTEGRATION 212 9.6 IMPROPER INTEGRALS 217 PROBLEMS * 221 10 INITIAL VALUE PROBLEMS 225 10.1 THE PICARD-LINDELOF THEOREM 226 10.2 EULER'S METHOD 231 10.3 SINGLE-STEP METHODS 234 10.4 MULTISTEP METHODS 243 PROBLEMS - 254 CONTENTS IX 11 BOUNDARY VALUE PROBLEMS 257 11.1 SHOOTING METHODS 258 11.2 FINITE DIFFERENCE METHODS 262 11.3 THE RIESZ AND LAX-MILGRAM THEOREMS 268 11.4 WEAK SOLUTIONS 274 11.5 THE FINITE ELEMENT METHOD 279 PROBLEMS 283 12 INTEGRAL EQUATIONS 287 12.1 THE RIESZ THEORY 288 12.2 OPERATOR APPROXIMATIONS 291 12.3 NYSTROM'S METHOD 296 12.4 THE COLLOCATION METHOD 302 12.5 STABILITY 310 PROBLEMS 313 REFERENCES 317 INDEX 322
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isbn	0387984089
language	English
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publishDate	1998
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series	Graduate texts in mathematics
series2	Graduate texts in mathematics
spelling	Kress, Rainer 1941- Verfasser (DE-588)115774416 aut Numerical analysis Rainer Kress New York [u.a.] Springer 1998 XII, 326 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 181 Literaturverz. S. 317 - 321 Análisis numérico Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 Graduate texts in mathematics 181 (DE-604)BV000000067 181 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008161201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kress, Rainer 1941- Numerical analysis Graduate texts in mathematics Análisis numérico Numerische Mathematik (DE-588)4042805-9 gnd
subject_GND	(DE-588)4042805-9
title	Numerical analysis
title_auth	Numerical analysis
title_exact_search	Numerical analysis
title_full	Numerical analysis Rainer Kress
title_fullStr	Numerical analysis Rainer Kress
title_full_unstemmed	Numerical analysis Rainer Kress
title_short	Numerical analysis
title_sort	numerical analysis
topic	Análisis numérico Numerische Mathematik (DE-588)4042805-9 gnd
topic_facet	Análisis numérico Numerische Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008161201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT kressrainer numericalanalysis

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