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Main Title: Efficient integration of matrix-valued non-stiff DAEs by half-explicit methods
Author(s): Linh, Vu Hoang
Mehrmann, Volker
Type: Research Paper
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 multi-step 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 DAEs which arise in the numerical computation of spectral intervals for DAEs. Numerical experiments illustrate the theoretical results.
Subject(s): differential-algebraic equation
strangeness index
half-explicit methods
one-leg methods
linear multi-step methods
Runge-Kutta methods
spectral intervals
Issue Date: 29-Aug-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65L07 Numerical investigation of stability of solutions
65L80 Methods for differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 16
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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