|
|
libcats.org
Hybrid Gauss-trapezoidal quadratureAlpert.A new class of quadrature rules for the integration of both regular and singular functions is constructed and analyzed. For each rule the quadrature weights are positive and the class includes rules of arbitrarily high-order convergence. The quadratures result from alterations to the trapezoidal rule, in which a small number of nodes and weights at the ends of the integration interval are replaced. The new nodes and weights are determined so that the asymptotic expansion of the resulting rule, provided by a generalization of the Euler - Maclaurin summation formula, has a prescribed number of vanishing terms. The superior performance of the rules is demonstrated with numerical examples and application to several problems is discussed.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Introduction to Functional Programming (Prentice Hall International Series in Computing Science)Автор: Richard Bird, Автор: Philip WadlerКатегория: Математика, Прикладная математика
Размер книги: 4.73 Mb
The Clean Coder: A Code of Conduct for Professional Programmers (Robert C. Martin Series)Автор: Robert C. Martin
Размер книги: 6.06 Mb
Только что пользователи скачали эти книги:
Frontiers of applied and computational mathematics: New Jersey Institute of Technology, USA, 19-21 May 2008Автор: Denis Blackmore, Автор: Amithaba Bose, Автор: Peter Petropoulos
Размер книги: 13.46 Mb
A History of the English Parish: The Culture of Religion from Augustine to VictoriaАвтор: N. J. G. PoundsКатегория: history_military
Размер книги: 30.42 Mb
Language Development: An Introduction, 8th Edition (Allyn & Bacon Communication Sciences and Disorders)Автор: Robert E. Owens
Размер книги: 14.30 Mb
|
|
|