References
Samarskii, A.A. and Vabishchevich, P.N.,Differents. Uravn., 1998, vol. 34, no. 12, pp. 1675–1685.
Samarskii, A.A.,Teoriya raznostnykh skhem (Theory of Finite-Difference Approximations), Moscow, 1989.
Samarskii, A.A. and Gulin, A.V.,Ustoichivost’ raznostnykh skhem (Stability of Finite-Difference Approximations), Moscow, 1973.
Gantmakher, F.R.,Teoriya matrits (Theory of Matrices), Moscow, 1988.
Dekker, K. and Verwer, J.G.,Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations, Amsterdam, 1984.
Hairer, E., Norsett, S.P., and Wanner, G.,Solving Ordinary Differential Equations. I. Nonstiff Problems, Berlin, 1987.
Vabishchevich, P.N. and Samarskii, A.A.,Zh. Vychislit. Mat. Mat. Fiz., 1997, vol. 37, no. 2, pp. 182–186.
Vabishchevich, P.N. and Samarskii, A.A.,Chislennye metody resheniya zadach konvektsii-diffuzii (Numerical Methods for Convection-Diffusion Problems), Moscow, 1999.
Desoer, C. and Haneda, H.,IEEE Trans. Circuit Theory, 1972, vol. 19, pp. 480–486.
Maslennikova, V.N. and Bogovskii, M.E.,Dokl. RAN, 1994, vol. 339, pp. 446–450.
Horn, R.A. and Johnson, C.R.,Matrix Analysis, Cambridge, 1986.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Samarskii, A.A., Vabishchevich, P.N. Finite-difference approximations to the transport equation. II. Diff Equat 36, 1069–1077 (2000). https://doi.org/10.1007/BF02754509
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02754509