耦合线性端口-哈密尔顿系统的算子拆分

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-19 DOI:10.1016/j.aml.2024.109309

Jan Lorenz, Tom Zwerschke, Michael Günther, Kevin Schäfers

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引用次数: 0

摘要

我们开发了针对耦合线性端口-哈密尔顿系统的算子拆分方法。我们提出的算法能够利用标量耦合以及这些耦合系统的多态势。所获得的算法保留了整个系统的耗散结构，并具有二阶收敛性。耦合质量-弹簧-阻尼链的数值结果表明，与对整个系统直接应用隐式中点规则相比，分裂方法的计算效率更高。

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Operator splitting for coupled linear port-Hamiltonian systems

Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these coupled systems. The obtained algorithms preserve the dissipative structure of the overall system and are convergent of second order. Numerical results for coupled mass–spring–damper chains illustrate the computational efficiency of the splitting methods compared to a straight-forward application of the implicit midpoint rule to the overall system.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.