Free Access
Volume 23, Number 2, 1989
Page(s) 191 - 204
Published online 31 January 2017
  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). [MR: 994350] [Zbl: 0662.76030]
  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. G. H GANSER and D. A. DREW, Nonlinear analysis of a uniform fluidized bed, submitted. [Zbl: 1134.76544]
  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. [MR: 898830] [Zbl: 0634.76100]
  5. R. D. GRIGORIEFF, Numerik gewohnlicher Differentialgleichungen, Teubner, Stuttgart, 1972. [MR: 468207] [Zbl: 0249.65051]
  6. C. PALENCIA and J. M. SANZ-SERNA, Equivalence theorems for incomplete spaces : an appraisal, IMA J. Numer. Anal. 4 (1984), pp. 109-115. [MR: 740788] [Zbl: 0559.65033]
  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. [MR: 790648] [Zbl: 0599.65034]
  8. J. M. SANZ-SERNA and J. G. VERWER, Stability and convergence in the PDE/stiff ODE interface, Appl. Numer. Math. (to appear). [MR: 979551] [Zbl: 0671.65078]
  9. V. THOMEE, Stability theory for partial difference operators. SIAM Rev. 11 (1969), pp. 152-195. [MR: 250505] [Zbl: 0176.09101]
  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. [MR: 865708] [Zbl: 0612.65053]
  11. G. VERWER and J. M. SANZ-SERNA, Convergence of method of lines approximations to partial differential equations, Computing 33 (1984), pp. 297-313. [MR: 773930] [Zbl: 0546.65064]

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