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Quasilinear singular perturbation problems and the uniform $$L_ 1$$- convergence. (English) Zbl 0684.34058
Quasilinear singularly perturbed boundary value problems are solved numerically by finite-difference schemes of Lax-Friedrichs type. The convergence of the numerical solution towards the discretization of the continuous solution is investigated in the discrete $$L_ 1$$-norm. Sufficient conditions are given under which the convergence is uniform in the perturbation parameter.
Reviewer: R.Vulanović

##### MSC:
 34E15 Singular perturbations, general theory for ordinary differential equations 65L10 Numerical solution of boundary value problems involving ordinary differential equations