Related Experiment Video
Updated: Jun 12, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
Published on: October 28, 2022
Exponentially fitted open Newton-Cotes differential methods as multilayer symplectic integrators
1Vakgroep Toegepaste Wiskunde en Informatica, Universiteit Gent, Krijgslaan 281-S9, B-9000 Gent, Belgium. guido.vandenberghe@ugent.be
Abstract:
Classical open and closed Newton-Cotes differential methods possessing the characteristics of multilayer symplectic structures have been constructed in the past. In this paper, we study the exponentially fitted open Newton-Cotes differential methods of order two, four, and six. It is shown that these integrators, just as their classical counterparts, preserve the volume in the phase space of a Hamiltonian system. They can be converted into a multilayer symplectic structure so that volume-preserving integrators of a Hamiltonian system are obtained. A numerical example has been carried out to show the effectiveness of the present differential method.
Related Concept Videos
Partial Differential Equations
Linear Differential Equations
Modeling with Differential Equations
Differential Form of Maxwell's Equations
Separable Differential Equations
Differential Equations: Problem Solving