The midpoint upwind scheme

Singular perturbation methods for ordinary differential equations

Choice Reviews Online · 1992 · 630 citations

Natural Sciences, Mathematics, Computational Mechanics +11

Analysis of some difference approximations for a singular perturbation problem without turning points

R. Bruce Kellogg, Alice Tsan · Mathematics of Computation · 1978 · 437 citations

Natural Sciences, Computational Engineering, Computational Mechanics +13

Difference approximations for singular perturbations of systems of ordinary differential equations

Leif Abrahamsson, Herbert B. Keller, H.- Kreiss · Numerische Mathematik · 1974 · 102 citations

Natural Sciences, Mathematics, Differential Equations +14

On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems

John J. H. Miller, Eugene O’Riordan, G. I. Shishkin · IMA Journal of Numerical Analysis · 1995 · 53 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +16

A note on the conditioning of upwind schemes on Shishkin meshes

HANS-GäRG ROOS · IMA Journal of Numerical Analysis · 1996 · 41 citations

Engineering, Physics, Computational Fluid Dynamics +15