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New stable closed Newton-Cotes trigonometrically fitted formulae for long-time integration. (English) Zbl 1242.65026

Summary: 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.

MSC:

65D10 Numerical smoothing, curve fitting
65D30 Numerical integration
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