Regions of Absolute Stability

Forfattere

  • Jørgen Sand
  • Ole Østerby

DOI:

https://doi.org/10.7146/dpb.v8i102.6518

Resumé

At the Department of Computer Science a system has been developed for plotting regions of absolute stability for a large class of formulae and methods for solving systems of ordinary differential equations. This report is a pictorial guide through the stability regions of a number of well-known formulae thereby showing the capabilities of our programs, and hopefully also giving some new information about the methods. In an appendix we give coefficients for Adams, Nystrom, generalized Milne-Simpson and backward differentiation formulae up to order 12 (resp. 11) and coefficients for Pade approximations to the exponential up to degree 6.

Forfatterbiografier

Jørgen Sand

Ole Østerby

Downloads

Publiceret

1979-09-01

Citation/Eksport

Sand, J., & Østerby, O. (1979). Regions of Absolute Stability. DAIMI Report Series, 8(102). https://doi.org/10.7146/dpb.v8i102.6518