受生物聚合模型启发的稳定双曲方程数值研究

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2024-03-25 DOI:10.1515/cmam-2023-0222

Lisa Davis, Monika Neda, Faranak Pahlevani, Jorge Reyes, Jiajia Waters

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引用次数: 0

摘要

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，通常的非稳定有限元法包含非光滑解的假振荡。为了稳定有限元方法，作者考虑在一阶双曲微分方程中加入空间和时间滤波稳定项。本文研究了稳定有限元算法的数值分析和描述一些生物环境的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization

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.

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.