Browsing Preprints aus dem Institut für Mathematik by Subject "tractability index"
Now showing items 1-6 of 6
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2011-09-27BuchA new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation We present an approach for determining the tractability index using truncated polynomial arithmetic. In particular, computing the index this way generates a sequence of matrices that contains itself derivatives. We realize ...
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2005-11-04BuchCharacterizing differential algebraic equations without the use of derivative arrays For a large class of differential algebraic equations with properly stated leading terms and nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. ...
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2005-11-04BuchDifferential Algebraic Systems with Properly Stated Leading Term and MNA Equations Differential algebraic equations with properly stated leading term are equations of the form A(x(t),t)(d(x(t),t))'+b(x(t),t)=0 with in some sense well-matched coefficients. Systems resulting from the modified nodal analysis ...
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2005-11-02BuchFine decouplings of regular differential algebraic equations In this paper, the previously formulated conjecture concerning the existence of fine and complete decouplings of regular DAEs with tractability index $\mu$ is verified.
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2003-12-10BuchNumerical Analysis of DAEs from Coupled Circuit and Semiconductor Simulation In this work we are interested in the numerical solution of a coupled model of differential algebraic equations (DAEs) and partial differential equations (PDEs). The DAEs describe the behavior of an electrical circuit that ...
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2005-11-04BuchSolvability of linear differential algebraic equations with properly stated leading terms In this paper, general solvability statements on linear continuous coefficient differential algebraic equations with properly stated leading terms are derived by means of decoupling projector functions decomposing the ...
