Displaying similar documents to “Construction of a natural norm for the convection-diffusion-reaction operator”

A spatially inhomogeneous diffusion problem with strong absorption

Riccardo Ricci, Domingo A. Tarzia (2003)

Bollettino dell'Unione Matematica Italiana

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We study the asymptotic behaviour ( t → + ∞ ) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the L ∞ by means of an appropriate family of sub and supersolutions. In appendix we prove the well posedness of the problem.

N -widths for singularly perturbed problems

Martin Stynes, R. Bruce Kellogg (2002)

Mathematica Bohemica

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Kolmogorov N -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the N -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.