## Algorithms for Symmetric Differential Systems (2001)

Citations: | 25 - 0 self |

### BibTeX

@MISC{Mansfield01algorithmsfor,

author = {Elizabeth L. Mansfield},

title = {Algorithms for Symmetric Differential Systems},

year = {2001}

}

### Years of Citing Articles

### OpenURL

### Abstract

Over determined systems of partial dierential equations may be studied using differential-elimination algorithms as a great deal of information about the solution set of the system may be obtained from the output. Unfortunately, many systems are eectively intractable by these methods due to the expression swell incurred in the intermediate stages of the calculations. This can happen when, for example, the input system depends on many variables and is invariant under a large rotation group, so that there is no natural choice of term ordering in the elimination and reduction processes. This article