Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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



Some new multistep methods for solving ordinary differential equations

Authors: G. K. Gupta and C. S. Wallace
Journal: Math. Comp. 29 (1975), 489-500
MSC: Primary 65L05
MathSciNet review: 0373290
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Three sets of linear multistep formulae for solving stiff and nonstiff ordinary differential equations are presented. Two of the sets are based on Adams-Moulton and stiff formulae used by Gear [1969]. A third set of formulae based on least-squares approximation is shown to be stiffly-stable up to order 8 and is suitable for solving stiff differential equations.

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: Linear multistep methods, stiff differential equations, predictor-corrector methods, numerical solution of ordinary differential equations
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society