Automatic integration of Euler-Lagrange equations with constraints

C. W. Gear, B. Leimkuhler, G. K. Gupta

Research output: Contribution to journalArticlepeer-review

365 Scopus citations


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 languageEnglish (US)
Pages (from-to)77-90
Number of pages14
JournalJournal of Computational and Applied Mathematics
Issue numberC
StatePublished - May 1985

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics


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