Ermakov, Oleg B. Two-sided method for solving system of ordinary differential equations with automatic determination of guaranteed estimates. (English) Zbl 0829.65109 Interval Comput. 1992, No. 3(5), 63-69 (1992). Summary: A way of constructing two-sided approximations to a solution of a system of ordinary differential equations based on the Adams extrapolation method of any order with automatic facilities for taking into account errors of input data, errors of procedure, and rounding errors using the PASCAL-XSC precompiler is considered. MSC: 65L70 Error bounds for numerical methods for ordinary differential equations 65L05 Numerical methods for initial value problems involving ordinary differential equations 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations 65G30 Interval and finite arithmetic 34A34 Nonlinear ordinary differential equations and systems Keywords:automatic determination of guaranteed estimates; interval analysis; two- sided approximations; system; Adams extrapolation method; rounding errors Software:PASCAL-XSC PDFBibTeX XMLCite \textit{O. B. Ermakov}, Interval Comput. 1992, No. 3(5), 63--69 (1992; Zbl 0829.65109)