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Numerische Mathematik

, Volume 79, Issue 2, pp 203–212 | Cite as

Simulating digital circuits numerically – a charge-oriented ROW approach

  • Michael Günther

Abstract.

A ROW type approach is considered for integral form DAEs arising in charge-oriented nodal analysis of digital networks. These network equations define very special index-2 systems that can be solved by Rosenbrock-Wanner (ROW) methods suitable for semi-explicit index-1 systems without order reduction. To obtain charge conservation, the charge variables are projected on the linear charge constraint. In contrast to the semi-explicit index-1 case, all order conditions for the algebraic variables up to order \(p\) have to be fulfilled for a method of order \(p\). CHORAL, an embedded charge-oriented method of order (2)3, is introduced and compared with DASSL and RODAS for two industrial applications, the NAND gate and the two-bit adding unit.

Mathematics Subject Classification (1991):65L05 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Michael Günther
    • 1
  1. 1. Technische Universität Darmstadt, Fachbereich Mathematik, Schloßgartenstr. 7, D-64289 Darmstadt, Germany; e-mail: guenther@mathematik.tu-darmstadt.de DE

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