new stable closed newton-cotes trigonometrically fitted formulae for long-time integration
;T. E. Simos
science and technology of advanced materials2012Vol. 2012pp. -
58
simos2012abstractnew
Abstract
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.