Summary
Difference schemes on more than one mesh, called composite mesh difference methods (CMDM), are considered for hyperbolic equations. A stability proof for a one-dimensional CMDM is presented and a numerical experiment by a CMDM for the inviscid shallow-water equations is described.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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)
Hansen, W.: Theorie zur Errechnung des Wasserstandes und der Strömungen in Randmeeren nebst Anwendungen. Tellus8, 287–300 (1956)
Ciment, M.: Stable difference schemes with uneven mesh spacing. Math. Comput.25, 219–227 (1971)
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)
Oliger, J.: Hybrid difference methods for the initial boundary value problem for hyperbolic equations. Math. Comput.30, 724–738 (1976)
Starius, G.: Constructing orthogonal curvilinear meshes by solving initial value problems. Numer. Math.28, 25–48 (1977)
Starius, G.: Composite mesh difference methods for elliptic boundary value problems. Numer. Math.28, 243–258 (1977)
Starius, G.: Numerical treatment of boundary layers for perturbed hyperbolic equations. Uppsala Univ., Department of Computer Sciences, Report No. 69, 1978
Author information
Authors and Affiliations
Additional information
Research supported by the Swedish Natural Science Research Council (Nfr. 2711-18)
Rights and permissions
About this article
Cite this article
Starius, G. On composite mesh difference methods for hyperbolic differential equations. Numer. Math. 35, 241–255 (1980). https://doi.org/10.1007/BF01396411
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01396411