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Starius, Goeran

On composite mesh difference methods for hyperbolic differential equations. (English) Zbl 0475.65059

Numer. Math. 35, 241-255 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0475.65059

Cited in 27 Documents

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35F15 Boundary value problems for linear first-order PDEs
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35L50 Initial-boundary value problems for first-order hyperbolic systems

Keywords:

composite mesh difference methods; stability; numerical experiment; inviscid shallow-water equations
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References:

[1] Elvirus, T., Sundström, A.: Computationally efficient schemes and boundary conditions for a finemesh barotropic model based on the shallow-water equations. Tellus25, 132-156 (1972) · doi:10.1111/j.2153-3490.1973.tb01601.x
[2] Hansen, W.: Theorie zur Errechnung des Wasserstandes und der Strömungen in Randmeeren nebst Anwendungen. Tellus8, 287-300 (1956) · doi:10.1111/j.2153-3490.1956.tb01227.x
[3] Ciment, M.: Stable difference schemes with uneven mesh spacing. Math. Comput.25, 219-227 (1971) · Zbl 0223.65051 · doi:10.1090/S0025-5718-1971-0300470-3
[4] Gustafsson, B., Kreiss, H.-O., Sundström, A.: Stability theory of difference approximations for mixed initial boundary value problems II. Math. Comput.26, 649-687 (1972) · Zbl 0293.65076 · doi:10.1090/S0025-5718-1972-0341888-3
[5] Oliger, J.: Hybrid difference methods for the initial boundary value problem for hyperbolic equations. Math. Comput.30, 724-738 (1976) · Zbl 0345.65049 · doi:10.1090/S0025-5718-1976-0428727-0
[6] Starius, G.: Constructing orthogonal curvilinear meshes by solving initial value problems. Numer. Math.28, 25-48 (1977) · Zbl 0363.65072 · doi:10.1007/BF01403855
[7] Starius, G.: Composite mesh difference methods for elliptic boundary value problems. Numer. Math.28, 243-258 (1977) · Zbl 0363.65078 · doi:10.1007/BF01394455
[8] Starius, G.: Numerical treatment of boundary layers for perturbed hyperbolic equations. Uppsala Univ., Department of Computer Sciences, Report No. 69, 1978
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