Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes

DOI10.1016/0021-9991(82)90044-4zbMath0488.65038OpenAlexW2088624627MaRDI QIDQ1166242

Saul S. Abarbanel, Earll M. Murman

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)90044-4

zbMATH Keywords

modal analysisexplicit and implicit schemesstable and unstable boundary conditionstwo-dimensional wave equations

Mathematics Subject Classification ID

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

Related Items (1)

Boundary treatments for implicit solutions to Euler and Navier-Stokes equations

Cites Work

• Boundary treatments for implicit solutions to Euler and Navier-Stokes equations
• On noncharacteristic boundary conditions for discrete hyperbolic initial- boundary-value problems
• Difference for the inviscid and viscous equations of a compressible gas
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Systems of Difference Equations with General Homogeneous Boundary Conditions
• Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
• Difference approximations for initial boundary-value problems
• Unnamed Item

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