Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods

TitleEfficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods
Publication TypeJournal Article
Year of Publication2014
AuthorsLinh, VHoang, Mehrmann, V
JournalJournal of Computational and Applied Mathematics
Volume262
Pagination346 - 360
ISSN0377-0427
KeywordsRunge–Kutta methods
Abstract

Abstract Numerical integration methods for nonlinear differential-algebraic equations (DAEs) in strangeness-free form are studied. In particular, half-explicit methods based on popular explicit methods like one-leg methods, linear multistep methods, and Runge–Kutta methods are proposed and analyzed. Compared with well-known implicit methods for DAEs, these half-explicit methods demonstrate their efficiency particularly for a special class of semi-linear matrix-valued \{DAEs\} which arise in the numerical computation of spectral intervals for DAEs. Numerical experiments illustrate the theoretical results.

URLhttp://www.sciencedirect.com/science/article/pii/S037704271300527X
DOI10.1016/j.cam.2013.09.072