Stability of schemes for the numerical treatment of an equation modelling fluidized beds

L. Abia; I. Christie; J. M. Sanz-Serna

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 2, page 191-204
  • ISSN: 0764-583X

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Abia, L., Christie, I., and 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 23.2 (1989): 191-204. <http://eudml.org/doc/193556>.

@article{Abia1989,
author = {Abia, L., Christie, I., Sanz-Serna, J. M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {periodic initial value problem; fluidized bed modelling; unconditionally unstable},
language = {eng},
number = {2},
pages = {191-204},
publisher = {Dunod},
title = {Stability of schemes for the numerical treatment of an equation modelling fluidized beds},
url = {http://eudml.org/doc/193556},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Abia, L.
AU - Christie, I.
AU - Sanz-Serna, J. M.
TI - Stability of schemes for the numerical treatment of an equation modelling fluidized beds
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 2
SP - 191
EP - 204
LA - eng
KW - periodic initial value problem; fluidized bed modelling; unconditionally unstable
UR - http://eudml.org/doc/193556
ER -

References

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  1. [1] CHRISTIE and G. H. GANSER, A numerical study of nonlinear waves arising in a one-dimensional model of a fluidized bed, J. Comput. Phys. (to appear). Zbl0662.76030MR994350
  2. [2] J. DE FRUTOS and J. M. SANZ-SERNA, 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). 
  3. [3] G. H GANSER and D. A. DREW, Nonlinear analysis of a uniform fluidized bed, submitted. Zbl1134.76544
  4. [4] G. H GANSER and D. A. DREW, Nonlinear periodic waves in a two-phase flow model, SIAM J. Appl. Math 47 (1987), pp. 726-736. Zbl0634.76100MR898830
  5. [5] R. D. GRIGORIEFF, Numerik gewohnlicher Differentialgleichungen, Teubner, Stuttgart, 1972. Zbl0249.65051MR468207
  6. [6] C. PALENCIA and J. M. SANZ-SERNA, Equivalence theorems for incomplete spaces : an appraisal, IMA J. Numer. Anal. 4 (1984), pp. 109-115. Zbl0559.65033MR740788
  7. [7] J. M. SANZ-SERNA and C. PALENCIA, A general equivalence theorem in the theory of discretization methods, Math. Comput. 45 (1985), pp. 143-152. Zbl0599.65034MR790648
  8. [8] J. M. SANZ-SERNA and J. G. VERWER, Stability and convergence in the PDE/stiff ODE interface, Appl. Numer. Math. (to appear). Zbl0671.65078MR979551
  9. [9] V. THOMEE, Stability theory for partial difference operators. SIAM Rev. 11 (1969), pp. 152-195. Zbl0176.09101MR250505
  10. [10] F. VADILLO and J. M. SANZ-SERNA, Studies in numerical nonlinear instability in a new look at u1 + uur = 0, J. Comput. Phys. 66 (1986), pp. 225-238. Zbl0612.65053MR865708
  11. [11] G. VERWER and J. M. SANZ-SERNA, Convergence of method of lines approximations to partial differential equations, Computing 33 (1984), pp. 297-313. Zbl0546.65064MR773930

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