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V. I. Smirnov Seminar on Mathematical Physics
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Discretization of the wave equation on a metric graph A. S. Mikhailov, V. S. Mikhailov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences |
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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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