论文标题
非线性事件函数中不连续的差异问题中的单方面直接事件位置的任意高阶方法
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function
论文作者
论文摘要
在本文中，我们关注的是在不连续的差异问题中的单侧事件位置的数值方法，其事件函数是非线性的（尤其是多项式类型）。最初的问题被转变为同等的泊松问题，通过适当地适当地适应了最近设计的泊松系统能量持持续方法来有效地解决。该方法的实际实施已得到充分讨论，并特别强调了当前的问题。报告了一些数值测试，以评估理论发现。
In this paper we are concerned with numerical methods for the one-sided event location in discontinuous differential problems, whose event function is nonlinear (in particular, of polynomial type). The original problem is transformed into an equivalent Poisson problem, which is effectively solved by suitably adapting a recently devised class of energy-conserving methods for Poisson systems. The actual implementation of the methods is fully discussed, with a particular emphasis to the problem at hand. Some numerical tests are reported, to assess the theoretical findings.
