Open AccessNew Stable Closed Newton‐Cotes Trigonometrically Fitted Formulae for Long‐Time Integration
Author(s) -
T. E. Simos
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/182536
Subject(s) - mathematics , algebraic number , differential (mechanical device) , order (exchange) , mathematical analysis , physics , thermodynamics , finance , economics
The closed Newton-Cotes differential methods of high algebraic order for small number of function evaluations are unstable. In this work, we propose a new closed Newton-Cotes trigonometrically fitted differential method of high algebraic order which gives much more efficient results than the well-know ones
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