The stability of boundary conditions for an angled-derivative difference scheme

DOI10.1007/BF02127707zbMath0869.76057OpenAlexW2027908049MaRDI QIDQ675710

K. W. Morton, N. A. Burgess

Publication date: 11 March 1997

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02127707

zbMATH Keywords

initial-boundary value problemGodunov-Ryabenkij conditionsstaggered leap-frog schemetidally-forced shallow water equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Angled derivative approximation of the hyperbolic heat conduction equations ⋮ The method of angled derivatives

Cites Work

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• An accuracy analysis of boundary conditions for the forced shallow water equations
• Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• Implicite difference methods for initial-boundary value problems
• Some Observations on Boundary Conditions for the Shallow-water Equations in Two Space Dimensions
• Initial-Boundary Value Problems for Linear Hyperbolic System
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Convective Difference Schemes