×

Strict error estimate in the approximate calculation of the solution of a system of differential equations. (Russian. English summary) Zbl 0806.34011

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
PDFBibTeX XMLCite