论文标题

在度量图上的波动方程式离散

Discretization of the wave equation on a metric graph

论文作者

Avdonin, Sergei A., Mikhaylov, Aleksander S., Mikhaylov, Victor S., Choque-Rivero, Abdon E.

论文摘要

研究了在离散时间的波动方程的离散图的节点上应设置哪些条件的问题。使用这些条件推导的变分方法。还绘制了与连续情况的相似之处。例如,研究了边界的形状可控性问题。

The question of what conditions should be set at the nodes of a discrete graph for the wave equation with discrete time is investigated. The variational method for the derivation of these conditions is used. A parallel with the continuous case is also drawn. As an example the problem of shape controllability from the boundary is studied.

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