A PDAE Model for Interconnected Linear RLC Networks

Mathematical and Computer Modelling of Dynamical Systems

Volumn 7, Issue 2, 2001, Pages 189-203

  Gunther M ^a,b  

^a UNIVERSITY OF ULM   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

A priori estimates; Differential algebraic equations (DAEs); Generalized network models; Method of lines (MOL); Partial differential equations (PDEs); Partial differential algebraic equations (PDAEs); Perturbation index; Refined modeling

Indexed keywords

EID: 0035567146     PISSN: 13873954     EISSN: None     Source Type: Journal    
DOI: 10.1076/mcmd.7.2.189.3649     Document Type: Article

References (10)

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2. Arnold, M. and Günther, M.: Preconditioned Dynamic Iteration for Coupled Differential-Algebraic System. BIT 41(1) (2001), pp. 1-25.
3. Campbell, S.L. and Marszalek, W.: ODE/DAE Integrators and MOL Problems. Z.f. Angew. Math. 76 (Suppl. 1) (1996), pp. 251-254.
4. Campbell, S.L. and Marszalek, W.: The Index of an Infinite Dimensional Implicit System. Math. Comput. Modeling Dyn. Syst. 5 (1999), pp. 18-42.
5. Günther, M. and Feldmann, U.: CAD Based Electric Circuit Modeling in Industry. I: Mathematical Structure and Index of Network Equations. II: Impact of Circuit Configurations and Parameters. Surv. Math. Ind. 8 (1999), pp. 97-157.
6. Günther, M. and Rentrop, P.: PDAE-Netzwerkmodelle in der Elektrischen Schaltungssimulation. In: W. John (Ed.): Analog '99: 5.ITG/GMM-Diskussionssitzung. 'Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsmethodik und Parasitäre Effekte.' Frankfurt, 2001, pp. 31-38.
7. Günther, M. and Wagner, Y.: Index Concepts for Linear Mixed Systems of Differential-Algebraic and Hyperbolic-Type Equations. SIAM J. Sci. Comp. 22 (5) (2000), pp. 1610-1629.
8. Lucht, W., Strehmel, K. and Eichler-Liebenow, C.: Indexes and Special Discretization Methods for Linear Partial Differential Algebraic Equations. BIT 39 (1999), pp. 484-512.
9. Tischendorf, C.: Topological Index Calculation of Differential-Algebraic Equations in Circuit Simulation. Surv. Math. Ind. 8 (1999), pp. 187-199.
10. Wagner, Y.: A further Index Concept for PDAEs of Hyperbolic Type. Mathematics and Computers in Simulation 53 (2000), pp. 287-291.