A study of difference schemes with the first derivative approximated by a central difference ratio

Computational Mathematics and Mathematical Physics

Volumn 36, Issue 8, 1996, Pages 1065-1078

  Andreyev, V B ^a   Kopteva, N V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000475515     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. VASIL'YEVA A. B. and BUTUZOV V. F., Asymptotic Expansions of the Solutions of Singularly Perturbed Equations. Nauka, Moscow, 1973.
2. DOOLAN E. P., MILLER J. J. H. and SCHILDERS W. H. A., Uniform Numerical Methods for Problems with Initial and Boundary Layers. Boole Press, Dun Laoghaire, 1980.
3. ANDREYEV V. B. and SAVIN I. A., The uniform convergence with respect to a small parameter of A. A. Samarskii's monotone scheme and its modification. Zh. Vychisl. Mat. Mat. Fiz. 35, 739-752, 1995.
4. IL'IN A. M., A difference scheme for a differential equation with a small parameter multiplying the highest derivative. Mat. Zametki 6, 2, 237-248, 1969.
5. BAKHVALOV N. S., Optimization of the solution of boundary-value problems in the presence of a boundary layer. Zh. Vychisl. Mat. Mat. Fiz. 9, 841-859, 1969.
6. SHISHKIN G. I., Grid Approximations of Singularly Perturbed Elliptic and Parabolic Equations. Izd. Ross. Akad. Nauk, UrO, Ekaterinburg, 1992.
7. SAMARSKII A. A., The Theory of Difference Schemes. Nauka, Moscow, 1989.
8. KELLOG R. B. and TSAN A., Analysis of some difference approximations for a singular perturbation problem without turning points. Math. Comput. 32, 144, 1025-1039, 1978.