Difference schemes with nonuniform meshes for nonlinear parabolic system

Journal of Computational Mathematics

Volumn 14, Issue 4, 1996, Pages 319-335

  Zhou, Y L ^a  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26444517192     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. A.N. Tikhonov and A.A. Samarskii, On homogeneous difference schemes, Zh. Vvchist. Mat. i Mat. Fiz., 1(1961), 5-63 (Russian).
2. A.N. Tikhonov, and A.A: Samarskii, Homogeneous difference schemes on nonuniform nets, Zh. Vvchist. Mat. i Mat. Fiz., 2(1962), 812-832 (Russian).
3. T.A. Manteuffel and A.B. White Jr., The numerical solution of second-order boundary value problems on nonuniform meshes, Math. Comput., 27 (1986), 511-535.
4. H.O. Kreiss, T.A. Manteuffel, B. Swartz, B. Wendorffand A.B. White Jr., Super-convergent schemes on irreqular grids, Math. Comput., 47 (1986), 537-554.
5. Zhou Yu-lin, Applications of Discrete Functional Analysis to the Finite Difference Method, Inter. Acad. Publishers, 1990.
6. Zhou Yu-lin, Finite difference method of first boundary problem for quasilinear parabolic system, Scientia Sinica (ser. A), 28(1985), 368-385.
7. Zhou Yu-lin, Shen Long-jun and Han Zhen, Finite difference method of first boundary problem for quasilinear parabolic system (continued), Science in China (Ser. A), 34(1991), 257-266.
8. Zhou Yu-lin and Du Ming-sheng, Difference schemes of fully nonlinear parabolic system of second order, J. Partial Diff. Eqs., 4(1991), 21-40.
9. Zhou Yu-lin, General interpolation formulas for spaces of discrete functions with one index, Acta Scientiarum Naturalium, Universitatis Pekinensis 28(1992), 1-16.
10. Zhou Yu-lin, Theory of difference schemes with nonuniform meshes, 1994 (to appear).
11. Zhou Yu-lin, General interpolation formulas for spaces of discrete functions with nonuniform meshes, 1994 (to appear).