@misc{Yan_Jin-Liang_Conservative, author={Yan, Jin-Liang and Zheng, Liang-Hong}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg-de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume element approximation in space. The resulting scheme is accurate, robust and energy-preserving. In addition, for comparison, we also develop a momentum-preserving finite volume element scheme and an implicit midpoint finite volume element scheme. Finally, a complete numerical study is developed to investigate the accuracy, conservation properties and long time behaviors of the energy-preserving scheme, in comparison with the momentum-preserving scheme and the implicit midpoint scheme, for the complex modified Korteweg-de Vries equation.}, type={artykuł}, title={Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation}, keywords={mass, energy, momentum, finite volume element method, complex modified Korteweg-de Vries equation}, }