The energy flow equation

DOI10.1016/0378-4754(84)90040-5zbMath0541.65058OpenAlexW2082320179MaRDI QIDQ794403

Robert Vichnevetsky

Publication date: 1984

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(84)90040-5

zbMATH Keywords

wave propagationperiodic structuresdiscrete-space-discrete-time systemsenergy conservative full discretizationsenergy flow equationprinciples of group velocitysemi- discretizations

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Spurious waves in discrete computation of wave phenomena and flow problems ⋮ Wave propagation and reflection in irregular grids for hyperbolic equations ⋮ High order numerical Sommerfeld boundary conditions: Theory and experiments ⋮ Group velocity in general waveforms

Cites Work

• Energy and group velocity in semi discretizations of hyperbolic equations
• Group velocity and reflection phenomena in numerical approximations of hyperbolic equations
• Group Velocity in Finite Difference Schemes
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