A Proof of the Instability of Backward-Difference Multistep Methods for the Numerical Integration of Ordinary Differential Equations.

Abstract

It is shown that the backward difference multistep method summation, m = 1 to q of (1/m(del sup m)(y sup p))=h(f sub p) for the numerical integration of y'(x) = f(x,y) is stable in the sense of Dahlquist iff 1 = or < q = or < 6. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0726419

Entities

People

  • Colin Walker Cryer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Instability
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra