基于算子分裂的线性微分-代数port- hamilton系统动态迭代

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Numerische Mathematik Pub Date : 2023-09-20 DOI:10.1007/s00211-023-01369-5

Andreas Bartel, Michael Günther, Birgit Jacob, Timo Reis

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引用次数: 3

摘要

摘要提出了一种基于lions - mercier型算子分裂方法的线性微分-代数port- hamilton系统的动态迭代方案。动态迭代是单调的，即误差在减小，不需要稳定性条件。所开发的迭代方案对于由ode控制的线性端口-哈密顿系统来说甚至是新的。将所得算法应用于多体系统和电网络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems

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Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems

Abstract A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based on Lions–Mercier-type operator splitting methods is developed. The dynamic iteration is monotone in the sense that the error is decreasing and no stability conditions are required. The developed iteration scheme is even new for linear port-Hamiltonian systems governed by ODEs. The obtained algorithm is applied to a multibody system and an electrical network.

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来源期刊

Numerische Mathematik 数学-应用数学

CiteScore

4.10

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerische Mathematik publishes papers of the very highest quality presenting significantly new and important developments in all areas of Numerical Analysis. "Numerical Analysis" is here understood in its most general sense, as that part of Mathematics that covers: 1. The conception and mathematical analysis of efficient numerical schemes actually used on computers (the "core" of Numerical Analysis) 2. Optimization and Control Theory 3. Mathematical Modeling 4. The mathematical aspects of Scientific Computing