Filippov, A. F. Strict error estimate in the approximate calculation of the solution of a system of differential equations. (Russian. English summary) Zbl 0806.34011 Math. Montisnigri 2, 29-42 (1993). Summary: A new method is suggested that allows, simultaneously, to compute an approximate solution by the Adams method and to construct the tube with elliptic cross-section which contains the explicit solution. MSC: 34A45 Theoretical approximation of solutions to ordinary differential equations 65J99 Numerical analysis in abstract spaces 65L70 Error bounds for numerical methods for ordinary differential equations Keywords:approximate solution; Adams method PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Montisnigri 2, 29--42 (1993; Zbl 0806.34011)