Numerical difficulties in the integration of Euler-Lagrange and similar equations are discussed. A technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems. The practical application of this reduction in a numerical setting is examined.
|Original language||English (US)|
|Number of pages||14|
|Journal||Journal of Computational and Applied Mathematics|
|State||Published - May 1985|
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics