Cross-Validation of numerical schemes for extended hydrodynamical models of semiconductors

Anile, Angelo Marcello; Junk, Michael; Romano, Vittorio; Russo, Giovanni

Cross-Validation of numerical schemes for extended hydrodynamical models of semiconductors

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Datum

2000

Autor:innen

Anile, Angelo Marcello

Junk, Michael

Romano, Vittorio

Russo, Giovanni

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematical Models and Methods in Applied Sciences. 2000, 10(06), pp. 833-861. ISSN 0218-2025. eISSN 1793-6314. Available under: doi: 10.1142/S0218202500000434

Zusammenfassung

The numerical integration of the hydrodynamical model of semiconductors based on extended thermodynamics has been tackled. On account of the mathematical complexity of the system, no theoretical conditions of convergence are available for the existing schemes. Therefore in order to obtain numerical solution it was almost mandatory to resort to a cross-validation comparing the results given by two different methods. The kinetic scheme and the finite difference method represented by a suitable modification of the Nessyahu–Tadmor scheme furnish numerical results for the ballistic diode problem in good agreement even for non-smooth solutions.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

ANILE, Angelo Marcello, Michael JUNK, Vittorio ROMANO, Giovanni RUSSO, 2000. Cross-Validation of numerical schemes for extended hydrodynamical models of semiconductors. In: Mathematical Models and Methods in Applied Sciences. 2000, 10(06), pp. 833-861. ISSN 0218-2025. eISSN 1793-6314. Available under: doi: 10.1142/S0218202500000434

BibTex

@article{Anile2000Cross-25475,
  year={2000},
  doi={10.1142/S0218202500000434},
  title={Cross-Validation of numerical schemes for extended hydrodynamical models of semiconductors},
  number={06},
  volume={10},
  issn={0218-2025},
  journal={Mathematical Models and Methods in Applied Sciences},
  pages={833--861},
  author={Anile, Angelo Marcello and Junk, Michael and Romano, Vittorio and Russo, Giovanni}
}

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