Bojović, Dejan; Jovanović, Boško S. Application of interpolation theory to the analysis of the convergence rate for finite difference schemes of parabolic type. (English) Zbl 0948.46018 Mat. Vesn. 49, No. 2, 99-107 (1997). In the case of the initial-boundary problem for the heat equation, the authors show how the theory of interpolation of function spaces is used for the rate estimate of convergence of finite difference schemes. Reviewer: Milutin Dostanić (Beograd) Cited in 1 Review MSC: 46B70 Interpolation between normed linear spaces 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 47F05 General theory of partial differential operators 35K20 Initial-boundary value problems for second-order parabolic equations 35K15 Initial value problems for second-order parabolic equations Keywords:initial-boundary value problem; finite differences; interpolation; finite difference schemes; heat equation PDFBibTeX XMLCite \textit{D. Bojović} and \textit{B. S. Jovanović}, Mat. Vesn. 49, No. 2, 99--107 (1997; Zbl 0948.46018) Full Text: EuDML