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

• Autores: Vu Hoang Linh, Volker Mehrmann
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 262, Nº 1, 2014, págs. 346-360
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.072
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• Resumen

  • 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.