This report investigates a stabilization method for first order hyperbolic differential equations applied to DNA transcription modeling. It is known that the usual unstabilized finite element method contains spurious oscillations for nonsmooth solutions. To stabilize the finite element method the authors consider adding to the first order hyperbolic differential system a stabilization term in space and time filtering. Numerical analysis of the stabilized finite element algorithms and computations describing a few biological settings are studied herein.

中文翻译：

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受生物聚合模型启发的稳定双曲方程的数值研究

本报告研究了应用于 DNA 转录建模的一阶双曲微分方程的稳定方法。众所周知，通常的不稳定有限元方法包含非光滑解的寄生振荡。为了稳定有限元方法，作者考虑向一阶双曲微分系统添加空间和时间滤波的稳定项。本文研究了稳定有限元算法的数值分析和描述一些生物设置的计算。