کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615948 1339333 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Structural characterization of hybrid equations with tractability index at most two
ترجمه فارسی عنوان
مشخصه ساختاری معادلات هیبرید با شاخص ضریب پذیری بیشتر از دو
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In circuit simulation, differential-algebraic equations (DAEs) to be solved numerically are obtained through circuit analysis methods. While the modified nodal analysis (MNA) is the most popular method, the hybrid analysis has been shown to have inherent advantage over MNA in terms of index, which is a measure of the numerical difficulty of DAEs. A recent paper of Iwata, Takamatsu, and Tischendorf (2012) has characterized the network structure that leads to DAEs with tractability index zero and one in the hybrid analysis. As a sequel, this paper gives a necessary condition for the hybrid equations to have tractability index at most two. Moreover, we show that this condition is also sufficient for linear time-invariant circuits if dependent sources satisfy a genericity assumption. Since commonly-used circuits fulfill the condition, it is ensured that the hybrid analysis results in a DAE with tractability index at most two in most cases. By combining our results with the previous one, we obtain criteria for tractability index zero/one/two.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 2, 15 March 2014, Pages 639-651
نویسندگان
,