Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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



A special class of explicit linear multistep methods as basic methods for the correction in the dominant space technique

Author: Peter Alfeld
Journal: Math. Comp. 33 (1979), 1195-1212
MSC: Primary 65L05
MathSciNet review: 537965
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A class of explicit linear multistep methods is suggested as basic methods for the CDS schemes introduced in [3]. These schemes are designed for the numerical solution of certain stiff ordinary differential equations, and operate with dominant eigenvalues, and the corresponding eigenvectors, of the Jacobian. The motivation, and the stability analysis for CDS schemes assumes that the eigensystem is constant. Here methods are introduced that perform particularly well if the eigensystem is not constant. In a certain sense the methods introduced here can be considered explicit approximations to the well-known implicit backward-differentiation formulas used by Gear [6] for the stiff option of his o.d.e. solver.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65L05

Retrieve articles in all journals with MSC: 65L05

Additional Information

Keywords: Ordinary differential equations, numerical analysis, correction in the dominant space, separably stiff systems, interprojection, backward-differentiation formulas
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society