Work

Discretization of the Wave Equation on a Metric Graph

Year: 2024

Type: article

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.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10630

Authors: Sergei A. Avdonin, Alexander S. Mikhaylov, Victor S. Mikhaylov, Abdon E. Choque‐Rivero

Institutions: University of Alaska Fairbanks, Russian Academy of Sciences, St Petersburg University, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute, Universidad Michoacana de San Nicolás de Hidalgo

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Moscow Center of Fundamental and Applied Mathematics, Russian Foundation for Basic Research, Consejo Nacional de Ciencia y Tecnología, Universidad Michoacana de San Nicolás de Hidalgo

Awards: G1524342187, G1550774097, New Approach to Inverse Problems for Differential Equation Networks, G3162162720, G3564174982, G6958583472

OpenAlex ID: W4405853220

FWCI: 0.157

Cites: 48

Cited by: 1

Related to: 10