# The ICICS/CS Reading Room

## UBC CS TR-88-12 Summary

- No on-line copy of this technical report is available.

- On Symmetric Schemes and Differential-Algebraic Equations., June 1988 Uri Ascher
An example is given which demonstrates a potential risk in using symmetric difference
schemes for initial value differential-algebraic equations (DAEs) or for very stiff ODEs. The
basic difficulty is that the stability of the scheme is controlled by the stability of an auxiliary
(ghost) ODE problem which is not necessarily stable even when the given problem is.
\n The stability of symmetric schemes is better understood in the context of boundary value
problems. In this context, such schemes are more naturally applied as well. For initial value
problems, better alternatives may exist. A computational algorithm is proposed for boundary
value index-l DAEs.

If you have any questions or comments regarding this page please send mail to
help@cs.ubc.ca.