L(α)-Stable Multi-Derivative GLM. Issue 4 (December 2015)

• Record Type: Journal Article
• Authors: Okuonghae, R. I.; Ikhile, M. N. O.
• Is Part Of: Journal of algorithms & computational technology. Volume 9:Issue 4(2015)
• Page Start: 339
• Page End: 376
• Publication Date: 2015-12
• Subjects: General linear methods (GLM) -- A(α)-stability -- L -- L(α)-stability -- multi-derivative GLM -- GLM starters -- stiff; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1260/1748-3018.9.4.339
• Languages: English
• ISSNs: 1748-3018

Abstract

This paper considers multi-derivative general linear methods and thus presents some second and third derivative general linear methods of orders 5, 7 and 10 in its output methods for computing the solution of stiff initial value problems in ordinary differential equations. The methods derived which is of a simple output structure possesses the special property of Runge-Kutta stability.