@article {Linh2014346,
	title = {Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {262},
	year = {2014},
	note = {Selected Papers from NUMDIFF-13},
	pages = {346 - 360},
	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{\textendash}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.},
	keywords = {Runge{\textendash}Kutta methods},
	issn = {0377-0427},
	doi = {http://dx.doi.org/10.1016/j.cam.2013.09.072},
	url = {http://www.sciencedirect.com/science/article/pii/S037704271300527X},
	author = {Linh, Vu Hoang and Volker Mehrmann}
}
