Adaptive modified alternating-triangular method
https://doi.org/10.23947/2587-8999-2018-2-1-44-59
Abstract
The paper covers the development of adaptive methods for solving convection-diffusion problems. For this class of problems a version of minimal correction adaptive modified alternating-triangular method was developed, as well the convergence rate of the method was analytically estimated. Numerical results have been presented for solving real hydrodynamical problem in shallow water using parallel algorithm of developed method.
Supporting agencies: The research is done with the financial support from the RSF, Projects No. 17-11-01286.
About the Authors
Alexander Ivanovich Sukhinov
Don State Technical University
(1st Gagarin Square, Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Sukhinov Alexander Ivanovich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Professor
Alexander Evgenievich Chistyakov
Don State Technical University
(1st Gagarin Square, Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Chistyakov Alexander Evgenievich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Associate professor
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Review
For citations:
Sukhinov A.I., Chistyakov A.E. Adaptive modified alternating-triangular method. Computational Mathematics and Information Technologies. 2018;2(1). https://doi.org/10.23947/2587-8999-2018-2-1-44-59
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