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.
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Received January 22, 1996 / Revised version received January 28, 1997
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Günther, M. Simulating digital circuits numerically – a charge-oriented ROW approach. Numer. Math. 79, 203–212 (1998). https://doi.org/10.1007/s002110050337
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DOI: https://doi.org/10.1007/s002110050337