Spatially semi-discretely uniformly exponential stability approximation for one-dimensional thermoelastic system

IF 2.6 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2026-04-06 DOI:10.1007/s10444-026-10298-4

Jiankang Liu, Bao-Zhu Guo

引用次数: 0

Abstract

This paper investigates the uniformly exponential stability of a spatially semi-discrete finite difference scheme for a one-dimensional thermoelastic system. The frequency domain approach is employed due to the difficulty of constructing a suitable time-domain multiplier for the continuous system. A novel semi-discrete finite difference scheme is developed using the order-reduction method. The uniform exponential stability of the resulting semi-discrete system is then established through a discrete counterpart of the frequency domain method.

查看原文本刊更多论文

一维热弹性系统的空间半离散均匀指数稳定性近似

研究一维热弹性系统的空间半离散有限差分格式的一致指数稳定性。由于难以为连续系统构造合适的时域乘法器，所以采用频域方法。利用降阶方法，提出了一种新的半离散有限差分格式。然后通过频域方法的离散对应物建立所得到的半离散系统的均匀指数稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.