Mesh refinement
HTML articles powered by AMS MathViewer
- by Gerald Browning, Heinz-Otto Kreiss and Joseph Oliger PDF
- Math. Comp. 27 (1973), 29-39 Request permission
Abstract:
We study mesh refinement techniques for first-order hyperbolic equations. A refinement method for use with the leap-frog scheme is defined and its stability established. The remainder of the paper is devoted to a discussion of the effects of nonuniform grids and the circumstances under which they may be used.References
- Melvyn Ciment, Stable difference schemes with uneven mesh spacings, Math. Comp. 25 (1971), 219–227. MR 300470, DOI 10.1090/S0025-5718-1971-0300470-3
- Bertil Gustafsson, Heinz-Otto Kreiss, and Arne Sundström, Stability theory of difference approximations for mixed initial boundary value problems. II, Math. Comp. 26 (1972), 649–686. MR 341888, DOI 10.1090/S0025-5718-1972-0341888-3
- Eugene Isaacson, Error estimates for parabolic equations, Comm. Pure Appl. Math. 14 (1961), 381–389. MR 137311, DOI 10.1002/cpa.3160140315
- Heinz-Otto Kreiss and Joseph Oliger, Comparison of accurate methods for the integration of hyperbolic equations, Tellus 24 (1972), 199–215 (English, with Russian summary). MR 319382, DOI 10.3402/tellusa.v24i3.10634 G. Moretti & M. D. Salas, "Numerical analysis of viscous one-dimensional flows," J. Computational Phys., v. 5, 1970, pp. 487-506.
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 29-39
- MSC: Primary 65M10
- DOI: https://doi.org/10.1090/S0025-5718-1973-0334542-6
- MathSciNet review: 0334542