论文标题
线性ODE的 * - 产品方法：标量案例的数值研究
The *-product approach for linear ODEs: a numerical study of the scalar case
论文作者
论文摘要
求解非自治的普通微分方程（ODE）的系统是一个至关重要的且经常具有挑战性的问题。最近，基于Volterra组成的概括引入了一种新方法。在这项工作中，我们在更简单的标态颂歌的环境中解释了这种方法的核心。理解标量案例是基本的，因为该方法可以很容易地扩展到更具挑战性的ODES问题。数值示例说明了该方法在标量情况下的功效及其特性。
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization of the Volterra composition. In this work, we explain the main ideas at the core of this approach in the simpler setting of a scalar ODE. Understanding the scalar case is fundamental since the method can be easily extended to the more challenging problem of systems of ODEs. Numerical examples illustrate the method's efficacy and its properties in the scalar case.
