Approximation theory and approximation practice:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, Pa.
SIAM
2013
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 273 - 298 |
| Physical Description: | VII, 305 S. graph. Darst. |
| ISBN: | 9781611972399 |
Staff View
MARC
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| 100 | 1 | |a Trefethen, Lloyd N. |d 1955- |e Verfasser |0 (DE-588)135818818 |4 aut | |
| 245 | 1 | 0 | |a Approximation theory and approximation practice |c Lloyd N. Trefethen |
| 264 | 1 | |a Philadelphia, Pa. |b SIAM |c 2013 | |
| 300 | |a VII, 305 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Record in the Search Index
| _version_ | 1804150008501501952 |
|---|---|
| adam_text | Contents
1.
Introduction
1
2.
Chebyshev Points and Interpolants
7
3.
Chebyshev
Polynomials and Series
13
4.
Interpolants, Projections,
and Aliasing
25
5.
Barycentric Interpolation Formula
33
6.
Weierstrass
Approximation
Theorem
43
7.
Convergence
for Differentiable Functions
49
8.
Convergence
for Analytic Functions
55
9.
Gibbs Phenomenon
63
10.
Best Approximation
73
11.
Hermite Integral Formula
81
12.
Potential Theory and Approximation
89
13.
Equispaced Points,
Runge
Phenomenon
95
14.
Discussion of High-Order Interpolation
103
15.
Lebesgue Constants
107
16.
Best and Near-Best
117
17.
Orthogonal Polynomials
123
18.
Polynomial Roots and Colleague Matrices
133
19.
Clenshaw-Curtis and Gauss Quadrature
143
20.
Carathéodory-Fejér
Approximation
155
21.
Spectral Methods
165
22.
Linear Approximation: Beyond Polynomials
177
23.
Nonlinear Approximation: Why Rational Functions?
189
24.
Rational Best Approximation
199
25.
Two Famous Problems
209
26.
Rational Interpolation and Linearized Least-Squares
221
27.
Padé
Approximation
235
28.
Analytic Continuation and Convergence Acceleration
251
Appendix: Six Myths of Polynomial Interpolation and Quadrature
263
References
273
Index
299
|
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| author | Trefethen, Lloyd N. 1955- |
| author_GND | (DE-588)135818818 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 470 |
| classification_tum | MAT 410f MAT 652f |
| ctrlnum | (OCoLC)828790322 (DE-599)GBV725422955 |
| dewey-full | 511/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.4 |
| dewey-search | 511/.4 |
| dewey-sort | 3511 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV040704454 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:32:06Z |
| institution | BVB |
| isbn | 9781611972399 |
| language | English |
| lccn | 2012027584 |
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| physical | VII, 305 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | SIAM |
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| spelling | Trefethen, Lloyd N. 1955- Verfasser (DE-588)135818818 aut Approximation theory and approximation practice Lloyd N. Trefethen Philadelphia, Pa. SIAM 2013 VII, 305 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 273 - 298 Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Interpolation (DE-588)4162121-9 gnd rswk-swf Approximation theory Approximationstheorie (DE-588)4120913-8 s Approximation (DE-588)4002498-2 s DE-604 Interpolation (DE-588)4162121-9 s Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025684918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trefethen, Lloyd N. 1955- Approximation theory and approximation practice Approximationstheorie (DE-588)4120913-8 gnd Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4002498-2 (DE-588)4162121-9 |
| title | Approximation theory and approximation practice |
| title_auth | Approximation theory and approximation practice |
| title_exact_search | Approximation theory and approximation practice |
| title_full | Approximation theory and approximation practice Lloyd N. Trefethen |
| title_fullStr | Approximation theory and approximation practice Lloyd N. Trefethen |
| title_full_unstemmed | Approximation theory and approximation practice Lloyd N. Trefethen |
| title_short | Approximation theory and approximation practice |
| title_sort | approximation theory and approximation practice |
| topic | Approximationstheorie (DE-588)4120913-8 gnd Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd |
| topic_facet | Approximationstheorie Approximation Interpolation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025684918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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