Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Linear multistep methods for stable differential equations $\ddot y=Ay+B(t)\dot y+c(t)$
HTML articles powered by AMS MathViewer

by Eckart Gekeler PDF
Math. Comp. 39 (1982), 481-490 Request permission


The approximation of ${y^{..}} = Ay + B(t){y^.} + c(t)$ by linear multistep methods is studied. It is supposed that the matrix A is real symmetric and negative semidefinite, that the multistep method has an interval of absolute stability $[ - s,0]$, and that ${h^2}\left \| A \right \| \leqslant s$ where h is the time step. A priori error bounds are derived which show that the exponential multiplication factor is of the form $\exp \{ {\Gamma _s}|||B|||_{n}(nh)\}$, $|||B|||_{n} = {\max _{0 \leqslant t \leqslant nh}}\left \| {B(t)} \right \|$.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65L05
  • Retrieve articles in all journals with MSC: 65L05
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 481-490
  • MSC: Primary 65L05
  • DOI:
  • MathSciNet review: 669641