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Discretization of the Wave Equation on a Metric Graph
Sergei A. Avdonin, Alexander S. Mikhaylov, Victor S. Mikhaylov, Abdon E. Choque‐Rivero
Source abstract
ABSTRACT 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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