Numerical analysis: theory and experiments
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
Society for Industrial and Applied Mathematics
[2019]
|
| Schriftenreihe: | Other titles in applied mathematics
161 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 1904 |
| Beschreibung: | xv, 431 Seiten Diagramme |
| ISBN: | 9781611975697 1611975697 |
Internformat
MARC
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| 245 | 1 | 0 | |a Numerical analysis |b theory and experiments |c Brian Sutton (Randolph-Macon College, Ashland, Virginia) |
| 264 | 1 | |a Philadelphia |b Society for Industrial and Applied Mathematics |c [2019] | |
| 300 | |a xv, 431 Seiten |b Diagramme | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Other titles in applied mathematics |v 161 | |
| 500 | |a 1904 | ||
| 505 | 8 | |a Computation -- Interpolation -- Integration -- Systems of linear equations -- Linear differential equations -- Zero finding -- Nonlinear differential equations | |
| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Numerical analysis | |
| 653 | 0 | |a Numerical analysis | |
| 689 | 0 | 0 | |a Numerische Mathematik |0 (DE-588)4042805-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Online version |a Sutton, Brian (Brian David), author |t Numerical analysis |d Philadelphia : Society for Industrial and Applied Mathematics, [2019] |z 9781611975703 |
| 830 | 0 | |a Other titles in applied mathematics |v 161 |w (DE-604)BV023088396 |9 161 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030950106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030950106 | ||
Datensatz im Suchindex
| _version_ | 1804179552934559744 |
|---|---|
| adam_text | Contents Preface ix List of Notation xiii I Computation 1 Introduction to numerical analysis 2 Programming basics 11 3 Experimental accuracy analysis 29 4 Experimental accuracy analysis for functions 41 5 Floating-point arithmetic 51 П Interpolation 6 Polynomial interpolation 65 7 Interpolation on a piecewise-uniform grid 79 8 Accuracy of interpolation on a piecewise-uniform grid 89 9 Danger from uniform grids of high degree 97 10 Chebyshev interpolation 105 11 Accuracy of Chebyshev interpolation 119 12 Evaluation matrices 135 ІП Integration 13 Differentiation 147 14 Integration of a polynomial interpolant 157 15 Integration on a piecewise-uniform grid: Newton-Cotes quadrature 171 16 Accuracy analysis for Newton-Cotes quadrature 185 17 Integration on a Chebyshev grid: Clenshaw-Curtis quadrature 195 18 Accuracy analysis for Clenshaw-Curtis quadrature 203 ГѴ Systems of linear equations 19 Gaussian elimination 3 213 vii
Contents viii 20 LU factorization 227 21 Conditioning of linear systems 237 V Linear differential equations 22 Introduction to linear differential equations 251 23 Collocation 261 24 Collocation accuracy 273 25 Collocation on a piecewise-uniform grid 281 26 Accuracy of collocation on a piecewise-uniform grid 293 27 Collocation on a Chebyshev grid 305 28 Accuracy of collocation on a Chebyshev grid 313 29 Conditioning of linear differential equations 323 VI Zero finding 30 Zeros as eigenvalues 335 31 Newton’s method 347 ѴП Nonlinear differential equations 32 Collocation for nonlinear problems 363 33 Nonlinear differential equations on piecewise-uniform grids 379 34 Nonlinear differential equations on Chebyshev grids 389 A Interpolation with repeated nodes 397 В Complex functions 401 C Interpolation in the complex plane 409 D Additional proofs for Newton-Cotes quadrature 415 Bibliography 419 Index 425
|
| any_adam_object | 1 |
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| classification_rvk | SK 900 |
| contents | Computation -- Interpolation -- Integration -- Systems of linear equations -- Linear differential equations -- Zero finding -- Nonlinear differential equations |
| ctrlnum | (OCoLC)1108159606 (DE-599)BVBBV045566449 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV045566449 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:21:41Z |
| institution | BVB |
| isbn | 9781611975697 1611975697 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030950106 |
| oclc_num | 1108159606 |
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| owner | DE-739 DE-634 |
| owner_facet | DE-739 DE-634 |
| physical | xv, 431 Seiten Diagramme |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Other titles in applied mathematics |
| series2 | Other titles in applied mathematics |
| spelling | Sutton, Brian Verfasser (DE-588)1192272994 aut Numerical analysis theory and experiments Brian Sutton (Randolph-Macon College, Ashland, Virginia) Philadelphia Society for Industrial and Applied Mathematics [2019] xv, 431 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Other titles in applied mathematics 161 1904 Computation -- Interpolation -- Integration -- Systems of linear equations -- Linear differential equations -- Zero finding -- Nonlinear differential equations Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerical analysis Numerische Mathematik (DE-588)4042805-9 s DE-604 Online version Sutton, Brian (Brian David), author Numerical analysis Philadelphia : Society for Industrial and Applied Mathematics, [2019] 9781611975703 Other titles in applied mathematics 161 (DE-604)BV023088396 161 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030950106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sutton, Brian Numerical analysis theory and experiments Other titles in applied mathematics Computation -- Interpolation -- Integration -- Systems of linear equations -- Linear differential equations -- Zero finding -- Nonlinear differential equations Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 |
| title | Numerical analysis theory and experiments |
| title_auth | Numerical analysis theory and experiments |
| title_exact_search | Numerical analysis theory and experiments |
| title_full | Numerical analysis theory and experiments Brian Sutton (Randolph-Macon College, Ashland, Virginia) |
| title_fullStr | Numerical analysis theory and experiments Brian Sutton (Randolph-Macon College, Ashland, Virginia) |
| title_full_unstemmed | Numerical analysis theory and experiments Brian Sutton (Randolph-Macon College, Ashland, Virginia) |
| title_short | Numerical analysis |
| title_sort | numerical analysis theory and experiments |
| title_sub | theory and experiments |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Numerische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030950106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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