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Tytuł książki

Interpolatorische Kubaturformeln

Autorzy

Hans Joachim Schmid

Seria

Rozprawy Matematyczne tom/nr w serii: 220 wydano: 1983

Zawartość

Pełne teksty:
rm22001.pdf

Warianty tytułu

Abstrakty

DE

INNHALT
1. Einführung.......................................................................5
2. Allgemeine Darstellungssätze..........................................9
   2.1. Der Tschebyscheff-Rang endlicher Systeme.............9
   2.2. Darstellungssätze....................................................14
   2.3. Anwendungen..........................................................18
3. Polynomiale Theorie......................................................26
   3.1. Problemstellung.......................................................28
   3.2. Notwendige Eigenschaften interpolatorischer Kubaturformeln......33
   3.3. Reelle Ideale............................................................37
   3.4. Ein Charakterisierungssatz für interpolatorische Formeln.............40
4. Zweidimensionale Kubaturformeln.................................44
   4.1. Konstruktion reeller Ideale.......................................45
   4.2. Eine verbesserte Schranke für die Knotenanzahl....54
   4.3. Konstruktion von Formeln für Produktintegrale........59
5. Mehrdimensionale Kubaturformeln................................71
   5.1. Konstruktion reeller Ideale.......................................72
   5.2. Ein weiterer Charakterisierungssatz........................78
6. Beispiele........................................................................79
   6.1. Minimale Formeln bis zum Grad 9 für Produktintegrale.................81
   6.2. Integrale, für die minimale Formeln jedes Genauigkeitsgrades bekannt sind......87
   6.3. Nicht-minimale Formeln...........................................89
   6.4. Formeln für Integrale über dem Dreieck und dem Kreis................91
   6.5. Numerische Ergebnisse...........................................94
Literaturverzeichnis.........................................................120

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 220

Liczba stron

122

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCXX

Daty

wydano
1983

Twórcy

autor
Hans Joachim Schmid

Bibliografia

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bwmeta1.element.zamlynska-0e5f1c1b-8f4d-4ec3-ad07-7e7bef4c887c

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ISBN
83-01-04085-8
ISSN
0012-3862

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