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

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

doi:10.1515/cmam-2023-0222

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

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

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	77-91
Number of pages	15
Journal	Computational Methods in Applied Mathematics
Volume	25
Issue number	1
DOIs	https://doi.org/10.1515/cmam-2023-0222
State	Published - Jan 1 2025

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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

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