Abstract In this paper, we present a general class of exponentially fitted two-step peer methods for the numerical integration of ordinary differential equations. The numerical scheme is constructed in order to exploit a-priori known information about the qualitative behaviour of the solution by adapting peer methods already known in literature. Examples of methods with 2 and 3 stages are provided. The effectiveness of this problem-oriented approach is shown through some numerical tests on well-known problems.

中文翻译：

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改编的显式两步对等方法

摘要 在本文中，我们提出了一类用于常微分方程数值积分的指数拟合两步对等方法。数值方案的构建是为了通过改编文献中已知的对等方法来利用关于解决方案定性行为的先验已知信息。提供了具有 2 级和 3 级的方法示例。这种面向问题的方法的有效性通过对众所周知的问题的一些数值测试来证明。