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.

翻译：本文开发了针对耦合线性端口哈密顿系统量身定制的算子分裂方法。我们提出的算法能够利用这些耦合系统的标量耦合特性以及多速率潜力。所得算法保持了整体系统的耗散结构，并具有二阶收敛性。针对耦合质量-弹簧-阻尼器链的数值结果表明，与将隐式中点规则直接应用于整体系统相比，分裂方法具有更高的计算效率。