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The Energy Flow Equation
Technical documentation   Open access

The Energy Flow Equation

Robert Vichnevetsky
Rutgers University
1983
DOI:
https://doi.org/10.7282/T3SX6HQF

Abstract

An equation, which describes the flow of energy in energy conservative semi- and full discretizations, of hyperbolic equations is derived. While the form of this equation for semi-discretizations verifies known principles of group velocity and wave propagation in periodic structures, its form and strict applicability to discrete-space-discrete-time systems like those resulting from the full discretization of hyperbolic equations are new results.
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