Browsing Preprints aus dem Institut für Mathematik by Subject "DAE"
Now showing items 1-9 of 9
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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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2005-10-21BuchA Shooting Method for Fully Implicit Index-2 Differential-Algebraic Equations A shooting method for two-point-boundary value problems for fully implicit index-1 and -2 differential-algebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent ...
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2005-11-09BuchConsistent initial values for DAE systems in circuit simulation One of the difficulties of the numerical integration methods for differential-algebraic equations (DAEs) is computing consistent initial values before starting the integration, i.e. calculating values that satisfy the given ...
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2005-11-07BuchFinding Beneficial DAE Structures in Circuit Simulation Circuit simulation is a standard task for the computer-aided design of electronic circuits. The transient analysis is well understood and realized in powerful simulation packages for conventional circuits. But further ...
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2005-11-04BuchNumerically well formulated index-2 DAEs For linear index-2 DAEs with properly stated leading term we characterize contractive and dissipative flows. We study under which conditions the qualitative properties of the DAE solutions are reflected by the numerical ...
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2005-11-15BuchStructural analysis for electric circuits and consequences for MNA The development of integrated circuits requires powerful numerical simulation programs. Of course, there is no method that treats all the different kinds of circuits successfully. The numerical simulation tools provide ...
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2005-11-16BuchThe Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations The computation of consistent initial values for differential-algebraic equations (DAEs) is essential for staring a numerical integration. Based on the tractability index concept a method is proposed to filter those ...
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2005-11-09BuchTopological analysis for consistent initialization in circuit simulation One of the difficulties of the numerical integration methods for differential-algebraic equations (DAEs) is the computation of consistent initial values before starting the integration, i.e., to calculate values that satisfy ...
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2005-11-17BuchTopological index calculation of DAEs in circuit simulation Electric circuits are present in a number of applications, e.g. in home computers, television, credit cards, electric power networks, etc. The development of integrated circuit requires numerical simulation. Modern modeling ...
