The choice of numerical boundary conditions for hyperbolic systems

DOI10.1016/0021-9991(82)90050-XzbMath0495.65045OpenAlexW2097519123MaRDI QIDQ1169798

Bertil Gustafsson

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90050-x

zbMATH Keywords

hyperbolic systemsstability propertiesshallow-water equationsteady-state solutionboundedness of the numerical solutionchoice of numerical boundary conditions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hyperbolic conservation laws (35L65) Method of lines for boundary value problems involving PDEs (65N40)

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Cites Work

• Boundary conditions for time dependent problems with an artificial boundary
• A down-stream boundary procedure for the Euler equations
• Boundary Approximations for Implicit Schemes for One-Dimensional Inviscid Equations of Gasdynamics
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Absorbing Boundary Conditions for the Numerical Simulation of Waves