Article

Numerische Mathematik

, Volume 35, Issue 2, pp 143-162

First online:

Méthodes multipas pour des équations paraboliques non linéaires

  • Marie-Noëlle Le RouxAffiliated withDépartement de Mathématiques et Informatique, Université de Rennes I

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Multistep methods for nonlinear parabolic equations

Summary

We study the error due to the discretization in time of a nonlinear parabolic problem by a multistep method. Error estimates are obtained if the method is of the orderp (p>1) and stronglyA(Θ)-stable\(\left( {0< \Theta< \frac{\pi }{2}} \right)\). The method is also applied to the Navier-Stokes equations in two dimensions.

Subject Classifications

AMS(MOS): 65M15, 65N30 CR: 5.17