A note on unconditionally stable linear multistep methods

Olof B. Widlund

Research output: Contribution to journalArticlepeer-review


It has been shown by Dahlquist [3] that the trapezoidal formula has the smallest truncation error among all linear multistep methods with a certain stability property. It is the purpose of this note to show that a slightly different stability requirement permits methods of higher accuracy.

Original languageEnglish (US)
Pages (from-to)65-70
Number of pages6
Issue number1
StatePublished - Mar 1967


  • Differential equations
  • multistep methods
  • stability

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A note on unconditionally stable linear multistep methods'. Together they form a unique fingerprint.

Cite this