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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:262

Article; Proceedings Paper

Vu Hoang Linh¹  Mehrmann, Volker² 

[1] Vietnam Natl Univ, Fac Math Mech & Informat, Hanoi, Vietnam

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

关键词: Differential-algebraic equation;    Strangeness index;    Half-explicit methods;    One-leg methods;    Linear multistep methods;    Runge-Kutta methods;   

DOI  :  10.1016/j.cam.2013.09.072

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free