Jovanović, Boško; Popović, Branislav Some convergence rate estimates for finite difference schemes. (English) Zbl 0949.65110 Mat. Vesn. 49, No. 3-4, 249-256 (1997). The authors use function space interpolation to prove some convergence rate estimates for finite difference schemes. They concentrate on a Dirichlet boundary value problem for a second-order linear elliptic equation with variable coefficients in the unit 3-dimensional cube. It is assumed that the solution to the problem and the coefficients of the equation belong to corresponding Sobolev spaces. Reviewer: Julka Miljanović-Knežević (Zemun) MSC: 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations 65N06 Finite difference methods for boundary value problems involving PDEs Keywords:function space interpolation; finite difference schemes; Dirichlet boundary value problem; convergence; second-order linear elliptic equation; variable coefficients; Sobolev spaces PDFBibTeX XMLCite \textit{B. Jovanović} and \textit{B. Popović}, Mat. Vesn. 49, No. 3--4, 249--256 (1997; Zbl 0949.65110) Full Text: EuDML