@article{M2AN_1989__23_2_191_0, author = {Abia, L. and Christie, I. and Sanz-Serna, J. M.}, title = {Stability of schemes for the numerical treatment of an equation modelling fluidized beds}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {23}, year = {1989}, pages = {191-204}, mrnumber = {1001327}, zbl = {0674.76022}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1989__23_2_191_0} }
Abia, L.; Christie, I.; Sanz-Serna, J. M. Stability of schemes for the numerical treatment of an equation modelling fluidized beds. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989) pp. 191-204. http://gdmltest.u-ga.fr/item/M2AN_1989__23_2_191_0/
[1] A numerical study of nonlinear waves arising in a one-dimensional model of a fluidized bed, J. Comput. Phys. (to appear). | MR 994350 | Zbl 0662.76030
and ,[2] h-dependent thresholds avoid the need for a priori bounds in nonlinear convergence proofs, Proceedings of the Third International Conference on Numerical Analysis and its Applications, January 1988, Benin, City, Nigeria. Edited by Simeon Ola Fatunla (to appear).
and ,[3] Nonlinear analysis of a uniform fluidized bed, submitted.
and ,[4] Nonlinear periodic waves in a two-phase flow model, SIAM J. Appl. Math 47 (1987), pp. 726-736. | MR 898830 | Zbl 0634.76100
and ,[5] Numerik gewohnlicher Differentialgleichungen, Teubner, Stuttgart, 1972. | MR 468207 | Zbl 0249.65051
,[6] Equivalence theorems for incomplete spaces : an appraisal, IMA J. Numer. Anal. 4 (1984), pp. 109-115. | MR 740788 | Zbl 0559.65033
and ,[7] A general equivalence theorem in the theory of discretization methods, Math. Comput. 45 (1985), pp. 143-152. | MR 790648 | Zbl 0599.65034
and ,[8] Stability and convergence in the PDE/stiff ODE interface, Appl. Numer. Math. (to appear). | MR 979551 | Zbl 0671.65078
and ,[9] Stability theory for partial difference operators. SIAM Rev. 11 (1969), pp. 152-195. | MR 250505 | Zbl 0176.09101
,[10] Studies in numerical nonlinear instability in a new look at u1 + uur = 0, J. Comput. Phys. 66 (1986), pp. 225-238. | MR 865708 | Zbl 0612.65053
and ,[11] Convergence of method of lines approximations to partial differential equations, Computing 33 (1984), pp. 297-313. | MR 773930 | Zbl 0546.65064
and ,