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On the Tractability Index of a Class of Partial Differential-Algebraic Equations

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Abstract

We consider a class of nonlinear partial-differential-algebraic equations, where the nonlinearity is present only in the PDEs and in the coupling conditions, and some additional structural conditions hold. For this special class of PDAEs, we introduce and characterize simple algebraic conditions which lead to a notion of extended tractability index, and exemplify its application to coupled systems arising from microelectronics.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università della Calabria, Via Pietro Bucci, 87036, Arcavacata di Rende (CS), Italy

    Giuseppe Alì & Nella Rotundo

  2. INFN, Gruppo collegato di Cosenza, Arcavacata di Rende, Italy

    Giuseppe Alì

Authors
  1. Giuseppe Alì
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  2. Nella Rotundo
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Correspondence to Giuseppe Alì.

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Alì, G., Rotundo, N. On the Tractability Index of a Class of Partial Differential-Algebraic Equations. Acta Appl Math 122, 3–17 (2012). https://doi.org/10.1007/s10440-012-9722-2

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  • DOI: https://doi.org/10.1007/s10440-012-9722-2

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