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arXiv · 1903.08919

Questions concerning differential-algebraic operators: Toward a reliable direct numerical treatment of differential-algebraic equations

Michael Hanke·Roswitha März
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Abstract

The nature of so-called differential-algebraic operators and their approximations is constitutive for the direct treatment of higher-index differential-algebraic equations. We treat first-order differential-algebraic operators in detail and contribute to justify the overdetermined polynomial collocation applied to higher-index differential-algebraic equations. Besides, we discuss several practical aspects concerning higher-order differential-algebraic operators and the associated equations.

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Michael Hanke, Roswitha März. 2019-03-21. Questions concerning differential-algebraic operators: Toward a reliable direct numerical treatment of differential-algebraic equations. https://arxiv.org/abs/1903.08919

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