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E. V. Chizhonkov

Numerical aspects of one stabilization method

To stabilize the solution of a nonlinear parabolic equation with prescribed rate by the boundary conditions we construct the discrete analogue of the algorithm proposed for the differential case by A. V. Fursikov. The informative part of the work is the analysis and use of the procedure for the approximate projection of the solution onto a specially constructed manifold. Qualitative differences between the discrete and continuous approaches are fixed.

Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter

Print ISSN: 0927-6467
Volume: 18, 10/2003
Pages: 363 - 376

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