# MIRKDC

Runge-Kutta software defect control for boundary value ODEs Mono-implicit Runge-Kutta (MIRK) formulas are implicit Runge-Kutta methods, for which the stages are defined explicitly in terms of $y_0$ and $y_1$. They can therefore be implemented very efficiently for the numerical solution of boundary value problems.par This publication presents new MIRK schemes with dense output, and discusses several implementation issues (modified Newton iteration, use of defect control instead of the standard global error control, mesh selection). Extensive numerical tests with a newly developed code MIRKDC are reported, and comparisons with the well-known code COLNEW are given.

## Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

## References in zbMATH (referenced in 34 articles , 1 standard article )

Showing results 1 to 20 of 34.
Sorted by year (citations)