Mathematical Problems in Circuit Simulation

Mathematical and Computer Modelling of Dynamical Systems

Volumn 7, Issue 2, 2001, Pages 215-223

  Tischendorf, C ^a   Estevez Schwarz D ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b INFINEON TECHNOLOGIES AG   (Germany)

Author keywords

65L80; AMS classification: 94C05; Circuit simulation; Consistent initial values; Differential algebraic equations; Index; Stability

Indexed keywords

EID: 18044400564     PISSN: 13873954     EISSN: None     Source Type: Journal    
DOI: 10.1076/mcmd.7.2.215.3647     Document Type: Article

References (10)

1. Brenan, K.E., Campbell, S.L. and Petzold, L.R.: The Numerical Solution of Initial Value Problems in Ordinary Differential-Algebraic Equations. North Holland Publishing Co., 1989.
2. Estévez Schwarz, D.: Consistent Initialization for Differential-algebraic Equations and its Application to Circuit Simulation. Fachbereich Mathematik, Humboldt-Univ. zu Berlin, PhD Thesis, 2000. Available at: http://dochost.rz.hu-berlin.de/dissertationen.
3. Estévez Schwarz, D., Rodríguez Santiesteban, A. and Tischendorf, C.: Asymptotic Stability in Circuit Simulation., in preparation.
4. Estévez Schwarz, D. and Tischendorf, C.: Structural Analysis of Electric Circuits and Consequences for MNA. Int. J. Circ. Theor. Appl. 28 (2000), pp. 131-162.
5. Estévez Schwarz, D., Feldmann, U., März, R., Sturtzel, S. and Tischendorf, C.: Finding Beneficial DAE Strucures in circuit simulation. Fachbereich Mathematik, Humboldt-Univ. zu Berlin, preprint 00-7, 2000.
6. Griepentrog, E. and März, R.: Differential-Algebraic Equations and Their Numerical Treatment. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, Teubner-Texte zur Mathematik No. 88, 1986.
7. Günther, M. and Feldmann, U.: CAD Based Electric Modeling in Industry. Part I: Mathematical Structure and Index of Network Equations. Surv. Math. Ind. 8 (1999), pp. 97-129.
8. Günther, M. and Feldmann, U.: CAD Based Electric Modeling in Industry. Part II: Impact of Circuit Configurations and Parameters Mathematical Structure and Index of Network Equations. Surv. Math. Ind. 8 (1999), pp. 131-157.
9. Hairer, E. and Wanner, G.: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin, Heidelberg, 1991.
10. Rodríguez Santiesteban, A. and März, R.: Analyzing the Stability Behaviour of DAE Solutions and Their Approximations. Fachbereich Mathematik, Humboldt-Univ. zu Berlin, preprint 99-2, 1999.