In this work, we propose an extension of telescopic derivative operators for the DGSEM with Gauss nodes, and we prove that this formulation is equivalent to its usual matrix counterpart. Among other possible applications, this allows extending the stabilization methods already developed for Gauss-Lobatto nodes to Gauss nodes, also ensuring properties such as entropy stability while retaining their improved accuracy.

翻译：本文提出一种用于Gauss节点的DGSEM望远镜型微分算子的扩展形式，并证明该公式等价于其常规矩阵形式。这一方法不仅可推广至其他应用场景，更使得已针对Gauss-Lobatto节点开发的稳定化方法得以扩展至Gauss节点，在保持精度提升的同时确保熵稳定等性质。