Error control for initial value problems with discontinuities and delays
The analysis of the error in numerical approximation is extended to a certain class of ordinary differential equation initial value problems with low-order derivative discontinuities and to the class of ordinary differential equations with constant delays. It is shown that standard error control techniques will be successful if discontinuities are handled correctly and delay terms are calculated with sufficiently accurate interpolants. The obtained theoretical results are illustrated numerically.
scientific article; zbMATH DE number 428543