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algebraic equations analysis apply assume assumptions BDF methods block row boundary value problem characteristic values collocation collocation methods columns computation consider consistent initial values constant coefficients constraints control problem convergence corank Corollary corresponding defined Definition denotes derivative array differential-algebraic equation differentiation index Drazin inverse equivalent Exercise feedback follows full row rank given global Hence Hypothesis 3.48 implicit function theorem implies index reduction inhomogeneity initial condition initial value problem inverse Jacobian Jordan canonical form kernel Lemma linear differential-algebraic equations linear system manifold matrix pair multi-step method multibody systems nilpotent nodal analysis nonsingular matrix numerical solution obtain ordinary differential equation particular polynomial Proof pseudoinverse reduced differential-algebraic equation reduced problem regular and strangeness-free Runge-Kutta methods satisfies Hypothesis 4.2 Section semi-explicit solve strangeness index sufficiently small sufficiently smooth Theorem 3.9 transformations unique solution uniquely solvable vector x(to yields
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Publikationsliste von Peter Kunkel
Simulation and control of switched systems of differential ...
Zentralblatt MATH Database 1931 – 2008 pre02229937
DFG Research Center MATHEON :: People - List of members
On parameter and state estimation for linear differential ...
From: Volker Mehrmann <mehrmann(_AT_)math.TU-Berlin.DE> Subject ...