We recall the question of geometric integrators in the context of Poisson geometry, and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and they are compared to traditional methods.
翻译:我们回顾了在泊松几何学中的几何积分问题,并解释了它们的构造。这些泊松积分器在一些力学实例中进行了测试。其性质在数值上进行了说明,同时与传统方法进行了比较。