Quasi stage order conditions for SDIRK methods
Applied Numerical Mathematics
ACM Transactions on Mathematical Software (TOMS)
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This paper presents a simple new technique to improve the order behavior of Runge--Kutta methods when applied to index 2 differential-algebraic equations. It is then shown how this can be incorporated into a more efficient version of the code {\sc radau5} developed by E. Hairer and G. Wanner.