References
- Farrell , P. A. , Hegarty , A. F. , Miller , J. J.H. , O'Riordan , E. and Shishkin , G. I. 2000 . shape Robust Computational Techniques for Boundary Layers , Boca Raton : CRC Press LLC .
- Miller , J. J.H. , O'Riordan , E. and Shishkin , G. I. 1996 . shape Fitted Numerical Methods for Singular Perturbation Problems , Singapore : World Scientific .
- Morton , K. W. 1996 . shape Numerical Solution of Convection–Diffusion Problems , Vol. 12 , London : Chapman & Hall . Applied Mathematics and Mathematical Computation
- Roos , H.-G. , Stynes , M. and Tobiska , L. 1996 . shape Numerical Methods for Singularly Perturbed Differential Equations , Berlin : Springer-Verlag .
- Linss , T. 2003 . Layer-adapted meshes for convection–diffusion problems . Computer Methods in Applied Mechanics and Engineering , 192 ( 9–10 ) : 1061 – 1105 .
- Stynes , M. and Roos , H.-G. 1997 . The midpoint upwind scheme . shape Applied Numerical Mathematics , 23 : 361 – 374 .
- Surla , K. and Uzelac , Z. 1996 . A uniformly accurate difference scheme for singular perturbation problem . shape Indian Journal of Pure and Applied Mathematics , 27 : 1005 – 1016 .
- Roos , H.-G. 1995 . Layer-adapted grids for singular perturbation problems . shape Zeitschrift für Angewandte Mathematik und Mechanik , 78 : 291 – 309 .
- Linss , T. 2002 . Analysis of an upwind difference scheme on arbitrary meshes for convection–diffusion problems . shape GAMM-Mitteilungen, , 25 ( 1–2 ) : 47 – 86 .
- Andreyev , V. B. and Kopteva , N. V. 1996 . A study of difference schemes with the first derivative approximated by central difference ratio . shape Computational Mathematics and Mathematical Physics , 36 ( 8 ) : 1065 – 1078 .
- Kopteva , N. V. 1999 . On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids . Computational Mathematics and Mathematical Physics , 39 : 1594 – 1610 .
- Kopteva , N. V. and Linss , T. 2001 . Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection–diffusion problem . shape Journal of Computational and Applied Mathematics , 137 : 2 257 – 267 .
- Lenferink , W. 2000 . Pointwise convergence of approximation to a convection–diffusion equation on a Shishkin mesh . shape Applied Numerical Mathematics , 32 : 69 – 86 .
- Surla , K. and Uzelac , Z. 2004 . A uniformly accurate spline collocation method for normalized flux . shape Journal of Computational and Applied Mathematics , 166 : 291 – 305 .
- Andreyev , V. B. and Savin , I. A. 1995 . The uniform convergence with respect to a small parameter of A.A. Samarskii's monotone scheme and its modification . shape Computational Mathematics and Mathematical Physics , 35 ( 5 ) : 581 – 591 .