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.
"New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration." Abstr. Appl. Anal. 2012 (SI12) 1 - 15, 2012. https://doi.org/10.1155/2012/182536