A nonstandard Euler scheme for y″ + g(y)y′ + f(y)y=0

H. Kojouharov, Bruno Welfert

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We introduce a nonstandard Euler scheme for solving the differential equation y″+g(y)y′ + f(y)y=0 which has the same linear stability properties as the differential equation and is conservative when g=0. The method is based on a physically motivated reduction of the equation to a system of two first-order equations and the use of Lie group integrators. The method is demonstrated on a few examples and compared to a standard MATLAB adaptive solver.

Original languageEnglish (US)
Pages (from-to)335-353
Number of pages19
JournalJournal of Computational and Applied Mathematics
Issue number2
StatePublished - Feb 15 2003


  • Conservative method
  • Euler method
  • Lie group method
  • Nonstandard finite differnce scheme
  • Splitting

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'A nonstandard Euler scheme for y″ + g(y)y′ + f(y)y=0'. Together they form a unique fingerprint.

Cite this