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Second Conference on Numerical Analysis and Applications
June 11-15, 2000
University of Rousse
Rousse, Bulgaria |
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Organizers
Plamen Yalamov, Marcin Paprzycki, Lubin Vulkov
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The second order difference schemes for convection-diffusion equation and adjoint equation
by
Vladimir Borisovich Andreev
Moscow State University
\bf
The second order difference schemes for convection-diffusion equation
and adjoint equation
The second order difference schemes for convection-diffusion equation
and adjoint equation
1
V. B. Andreev 2
Singularly perturbed convection-diffusion two-point boundary value problem
with alternating signs discontinuous convection coefficient is considered.
For this equation the difference scheme is constructed that has the uniform
Lh\infty accuracy of O(N-2) on condensing grid. It is shown that
the adjoint scheme has the same accuracy for the adjoint equation.
Footnotes:
1This work is supported by the Russian
Foundation for Basic Research under Grant N 99-01-01056
2
Faculty of Computational Mathematics and Cybernetics,
Moscow State University, Vorobjovy Gory,
Moscow 119899, Russia.
e-mail: andreev@cs.msu.su
Date received: February 28, 2000
Copyright © 2000 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caen-42.