This paper is concerned with the upwind finite-difference discretization of a quasilinear singularly perturbed boundary value problem without turning points. Kopteva’s a posteriori error estimate [N. Kopteva, Maximum norm a posteriori error estimates for a onedimensional convection-diffusion problem, SIAM J. Numer. Anal., 39, 423–441 (2001)] is generalized and improved. 2000 MSC: 65L10, 65L70.
