Amosov, A. A.; Zlotnik, A. A. Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas. (English. Russian original) Zbl 0664.76096 U.S.S.R. Comput. Math. Math. Phys. 27, No. 4, 46-57 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 7, 1032-1049 (1987). The existence, uniqueness and stability for a family of difference schemes are proved and error estimates are deduced. All results are obtained “globally” over time and without a priori assumptions on the solution of the equations of motion of a gas. Cited in 6 Documents MSC: 76N15 Gas dynamics (general theory) 65N99 Numerical methods for partial differential equations, boundary value problems Keywords:second-order accuracy; one-dimensional motion of a viscous gas; existence; uniqueness; stability; difference schemes; error estimates; a priori assumptions PDFBibTeX XMLCite \textit{A. A. Amosov} and \textit{A. A. Zlotnik}, U.S.S.R. Comput. Math. Math. Phys. 27, No. 4, 46--57 (1987; Zbl 0664.76096); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 7, 1032--1049 (1987) Full Text: DOI