Abstract:
The second order elliptical equations with mixed derivatives are considered. These problems appear in the medium with different properties in some directions. Discret model has got on the base of central-difference approximations. Spectra of matrices are presented and properties of these spectra are investigated. New two-step skew-symmetric iterative method is used for the solution of linear system of algebraic equations.
Citation:
T. S. Martynova, “Numerical solution of second order elliptical equations with mixed derivatives by effective iterative methods”, Mat. Model., 20:6 (2008), 35–47; Math. Models Comput. Simul., 1:3 (2009), 370–382
\Bibitem{Mar08}
\by T.~S.~Martynova
\paper Numerical solution of second order elliptical equations with mixed derivatives by effective iterative methods
\jour Mat. Model.
\yr 2008
\vol 20
\issue 6
\pages 35--47
\mathnet{http://mi.mathnet.ru/mm2437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2464734}
\zmath{https://zbmath.org/?q=an:1150.35374}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 3
\pages 370--382
\crossref{https://doi.org/10.1134/S2070048209030041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929081952}
Linking options:
https://www.mathnet.ru/eng/mm2437
https://www.mathnet.ru/eng/mm/v20/i6/p35
This publication is cited in the following 1 articles:
A. U. Prakonina, “Spectral properties of discrete models of multi-dimensional elliptic problems with mixed derivatives”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 55:2 (2019), 207
Citation in format AMSBIB
Contact us: