Gaussian quadrature formulas:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, N.J.
Prentice Hall
1966
|
| Series: | Prentice Hall series in automatic computation
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 374 S. |
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MARC
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| 245 | 1 | 0 | |a Gaussian quadrature formulas |c A. H. Stroud ; Don Secrest |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice Hall |c 1966 | |
| 300 | |a VIII, 374 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Prentice Hall series in automatic computation | |
| 650 | 4 | |a Formules de quadrature de Gauss | |
| 650 | 4 | |a Gauss, Carl Friedrich, 1777-1855 - Formules quadratiques de Gauss | |
| 650 | 4 | |a Mathématiques - Tables | |
| 650 | 0 | 7 | |a Gauß-Quadraturformel |0 (DE-588)4156108-9 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001262381 | ||
Record in the Search Index
| _version_ | 1804116376815665152 |
|---|---|
| adam_text | CONTENTS
1
2
З
PROPERTIES OF GAUSSIAN QUADRATURE FORMULAS
1
1.1.
Introduction
1
1.2.
Orthogonal Polynomials and Quadrature Formulas
2
1.3.
Properties of Coefficients
Ю
1.4.
Convergence of Gaussian Formulas
13
COMPUTATION OF FORMULAS
17
2.1.
Electrostatic Analogy for Zeros of Jacobi and Laguerre Polynomials
17
2.2.
Jacobi Formulas
18
2.3.
Laguerre and Hermite Formulas
21
2.4.
The Tabulated Formulae 2
2.5.
Fortran Programs -8
VARIOUS USES OF THE TABULATED FORMULAS
37
3.1.
Product Formulae for Multiple Integrals
37
3.2.
Transformations of Quadrature Formulae
51
3.3.
Solution of Integral Equations 55
VII
viii CONTENTS
ERROR ESTIMATES
58
4.1.
Introduction
58
4.2.
Estimates in Terms of Derivatives
69
4.3.
Error Estimates for Analytic Functions
66
4.4.
Comparison of Gaussian with Other Formulas
69
4.6.
Error Estimates for Product Formulas
72
4.6.
Extrapolation of the Error Coefficients
76
SURVEY OF OTHER TABLES
78
TABLES OF ORTHOGONAL POLYNOMIALS
83
BIBLIOGRAPHY
94
TABLES 99
99
Error Coefficients
7.
Γ
Wt- ViMÄeS
Error Coefficient·
fi
*
2.
I
(1 —
Јг)в/(х)
<fcc
ík
2іі
^t/tei)
ι κη
3-Х £1
w lo7
Error
Coefficiente
j r,,.
8.
J^d+xWWrtc^Ç^Jto)
173
Error
Coefficiente
,
nn
199
f
V
Error
Coefficiente
., .
¿14
f
· *
J
-*·
ш
217
Error
Coefficiente
252
m
β*
· ---- -.».-..
253
Error
Coefficient«
275
ŕm f
277
287
CONTENTS
ix
8.
f
|ϊ|ν*/(χ)ώΑΣ^(ϊ()
289
Error Coefficients
299
9.
ľ
In
í-)f(x)
dz =r
Σ
AiS(x%) 301
JO
Χ
I
j_|
Error Coefficients
305
10.
^-. ^^p-ì^F(p)dp^ ZAiF{pi)
307
317
Π
11.
Error Coefficients
337
12.
Γ
fix)dx*AJi-l) +
Σ
¿ł/ta)
33Θ
J-· i = i
Error Coefficients
360
13.
í /(x)dx=í
Σ
АіДхі)
+
f
В*к/(ад(0)
351
Error Coefficients
368
14.
f e-*7(*)rf*^Ž^i/ta) +
Σ**/<*><0)
359
Error Coefficients
366
TABLE
OF FACTORIALS
367
INDEX
371
|
| any_adam_object | 1 |
| author | Stroud, Arthur Howard Secrest, Don |
| author_GND | (DE-588)127294406 |
| author_facet | Stroud, Arthur Howard Secrest, Don |
| author_role | aut aut |
| author_sort | Stroud, Arthur Howard |
| author_variant | a h s ah ahs d s ds |
| building | Verbundindex |
| bvnumber | BV001936832 |
| callnumber-first | Q - Science |
| callnumber-label | QA299 |
| callnumber-raw | QA299.4G3S87G 1966 |
| callnumber-search | QA299.4G3S87G 1966 |
| callnumber-sort | QA 3299.4 G3 S87 G 41966 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SH 500 |
| classification_tum | MAT 655f |
| ctrlnum | (OCoLC)421400774 (DE-599)BVBBV001936832 |
| dewey-full | 517.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517.3 |
| dewey-search | 517.3 |
| dewey-sort | 3517.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001936832 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:37:32Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001262381 |
| oclc_num | 421400774 |
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| owner | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 DE-473 DE-BY-UBG |
| owner_facet | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 DE-473 DE-BY-UBG |
| physical | VIII, 374 S. |
| psigel | TUB-nveb |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | Prentice Hall |
| record_format | marc |
| series2 | Prentice Hall series in automatic computation |
| spelling | Stroud, Arthur Howard Verfasser aut Gaussian quadrature formulas A. H. Stroud ; Don Secrest Englewood Cliffs, N.J. Prentice Hall 1966 VIII, 374 S. txt rdacontent n rdamedia nc rdacarrier Prentice Hall series in automatic computation Formules de quadrature de Gauss Gauss, Carl Friedrich, 1777-1855 - Formules quadratiques de Gauss Mathématiques - Tables Gauß-Quadraturformel (DE-588)4156108-9 gnd rswk-swf Gauß-Quadraturformel (DE-588)4156108-9 s DE-604 Secrest, Don Verfasser (DE-588)127294406 aut Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001262381&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stroud, Arthur Howard Secrest, Don Gaussian quadrature formulas Formules de quadrature de Gauss Gauss, Carl Friedrich, 1777-1855 - Formules quadratiques de Gauss Mathématiques - Tables Gauß-Quadraturformel (DE-588)4156108-9 gnd |
| subject_GND | (DE-588)4156108-9 |
| title | Gaussian quadrature formulas |
| title_auth | Gaussian quadrature formulas |
| title_exact_search | Gaussian quadrature formulas |
| title_full | Gaussian quadrature formulas A. H. Stroud ; Don Secrest |
| title_fullStr | Gaussian quadrature formulas A. H. Stroud ; Don Secrest |
| title_full_unstemmed | Gaussian quadrature formulas A. H. Stroud ; Don Secrest |
| title_short | Gaussian quadrature formulas |
| title_sort | gaussian quadrature formulas |
| topic | Formules de quadrature de Gauss Gauss, Carl Friedrich, 1777-1855 - Formules quadratiques de Gauss Mathématiques - Tables Gauß-Quadraturformel (DE-588)4156108-9 gnd |
| topic_facet | Formules de quadrature de Gauss Gauss, Carl Friedrich, 1777-1855 - Formules quadratiques de Gauss Mathématiques - Tables Gauß-Quadraturformel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001262381&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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