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JOURNALS // Russian Universities Reports. Mathematics

Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 124, Pages 617–623 (Mi vtamu4)

The strong-norm convergence of a projection-difference method of solution of a parabolic equation with the periodic condition on the solution
A. S. Bondarev

References

1. A. S. Bondarev, V. V. Smagin, “The convergence of projection-difference method of approximate solution of parabolic equation with a periodic condition on the solution”, Proceedings of Voronezh State University. Series: Physics. Mathematics, 2014, no. 2, 81–94 (In Russian)
2. V. V. Smagin, “Strong-norm error estimates for the projective-difference method for approximately solving abstract parabolic equations”, Mathematical Notes, 62:6 (1997), 898–909 (In Russian)  mathnet
3. J.-P. Aubin, Approximate Solution of the Elliptic Boundary Problems, Mir Publ., Moscow, 1977, 384 pp.
4. J.-L. Lions, E'. Magenes, Inhomogeneous Boundary Problems and Its Applications, Mir Publ., Moscow, 1971, 372 pp.
5. A. S. Bondarev, “The solvability of the variational parabolic equation with a periodic condition on the solution”, Proceedings of Voronezh State University. Series: Physics. Mathematics, 2015, no. 4, 78–88 (In Russian)
6. G. M. Vaynikko, P. E. Oya, “About the convergence and the velocity of convergence of the Galerkin's method for abstract evolutionary equations”, Differential Equations, 11:7 (1975), 1269–1277 (In Russian)  mathnet  mathscinet
7. G. I. Marchuk, V. I. Agoshkov, Introduction to Projection-Difference Methods, Nauka Publ., Moscow, 1981, 416 pp.  mathscinet


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