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Universität zu Köln

Mathematisch-Naturwissenschaftliche Fakultät

Mathematisches Institut, Arbeitsgruppe Prof. Dr. Caren Tischendorf

  1. A. Zecchin, P. Thum, A. Simpson and C. Tischendorf: Steady-state behaviour of large water distribution systems: the algebraic multigrid method for the fast solution of linear step. To appear in J. Water Resour. Plann. Manage. , ASCE (2012).

  2. R. Riaza and C. Tischendorf: Structural characterization of classical and memristive circuits with purely imaginary eigenvalues. To appear in Int. J. Circ. Theor. Appl. , Wiley, DOI: 10.1002/cta.798 (2011).

  3. R. Riaza and C. Tischendorf: Structural characterization of classical and memristive circuits with purely imaginary eigenvalues. To appear in Int. J. Circ. Theor. Appl. , Wiley (2011).

  4. M. Matthes and C. Tischendorf: Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model. Applied Numerical Mathematics , Elsevier, Volume 61, No. 3, pp. 382-394 (2011).

  5. R. Riaza and C. Tischendorf: Semistate models of electrical circuits including memristors. Int. J. Circ. Theor. Appl. , Wiley, Volume 39, No. 6, pp. 607-627 (2011). DOI: 10.1002/cta.665

  6. M. Matthes and C. Tischendorf: Convergence of Galerkin Solutions for Linear Differential Algebraic Equations in Hilbert Spaces. ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, Volume 1281, pp. 247-250 (2010).

  7. R. Riaza and C. Tischendorf: The hyperbolicity problem in electrical circuit theory. Mathematical Methods in The Applied Sciences , Wiley, Volume 33, No. 17, pp. 2037-2049 (2010).

  8. S. Baumanns and C. Tischendorf: Simulation Aspects of Circuit DAEs Including Memristors. ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, Volume 1281, pp. 996-999 (2010).

  9. R. Riaza and C. Tischendorf: Existence of Purely Imaginary Eigenvalues for DAEs with Network Structure. ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, Volume 1281, pp. 1000-1003 (2010).

  10. S. Baumanns, M. Selva, and C. Tischendorf: Consistent initialization for coupled circuit-device simulation. Mathematics in Industry - Scientific Computing in Electrical Engineering SCEE 2008, J. Roos, L.R.J. Costa (eds.), Vol. 14, Springer, pp. 297-304 (2010).

  11. S. Iwata, M. Takamatsu, and C. Tischendorf: Hybrid Analysis of Nonlinear Time-Varying Circuits Providing DAEs with an Index at Most One. Mathematics in Industry - Scientific Computing in Electrical Engineering SCEE 2008, J. Roos, L.R.J. Costa (eds.), Vol. 14, Springer, pp. 151-158 (2010).

  12. R. Lamour, C. Tischendorf. Wie Rechner rechnen. In Besser als Mathe. Moderne angewandte Mathematik aus dem Matheon zum Mitmachen , K. Biermann, M. Grötschel und B. Lutz-Westphal (eds.), Vieweg+Teubner, pp. 87-91 (2009).

  13. M. Matthes and C. Tischendorf: Convergence analysis of a coupled circuit and device simulation. International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP Conference Proceedings, Volume 1168, pp. 1021-1024 (2009).

  14. C. Tischendorf: Similarities in Circuit and Multibody Systems Modeling. International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP Conference Proceedings, Volume 1168, pp. 878-881 (2009).

  15. M. Bodestedt, C. Tischendorf. Numerical simulation of high-frequency circuits in telecommuncation. In Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, W. Jäger und H.-J. Krebs (eds.), Springer, Berlin Heidelberg, pp. 9-18 (2008).

  16. R. Riaza, C. Tischendorf. Qualitative features of matrix pencils and DAEs arising in circuit dynamics, Dynamical Systems. Vol. 22, pp. 107-131 (2007).

  17. M. Bodestedt, C. Tischendorf. PDAE models of integrated circuits and perturbation analysis, Math. Comput. Model. Dyn. Syst. 13(1), pp. 1-17 (2007).

  18. T. Reis, C. Tischendorf. Frequency Domain Methods and Decoupling of Linear Infinite Dimensional Differential Algebraic Systems, J. Evol. Equ., 5(3), pp. 357-385 (2005).

  19. M. Selva Soto, C. Tischendorf. Numerical Analysis of DAEs from Coupled Circuit and Semiconductor Simulation. Appl. Numer. Math. 53(2-4), pp. 471-488 (2005).

  20. C. Tischendorf. Coupled systems of differential algebraic and partial differential equations in circuit and device simulation. Modeling and numerical analysis., Habilitationsschrift, Inst. für Math., Humboldt-Univ. zu Berlin (2004).

  21. C. Tischendorf. Modeling Circuit Systems Coupled with Distributed Semiconductor Equations, In Mathematical Modeling, Simulation and Optimization of Integrated Electrical Circuits. K. Antreich, R. Bulirsch, A. Gilg and P. Rentrop (eds.), Int. Series of Num. Math., 146, Birkhäuser, Basel, pp. 229-247 (2003).

  22. G. Ali, A. Bartel, M. Günther, C. Tischendorf. Elliptic Partial Differential-Algebraic Multiphysics Models in Electrical Network Design. Math. Models Meth. Appl. Sci., 13(9), pp. 1261-1278 (2003).

  23. D. Estévez Schwarz, U. Feldmann, R. März, S. Sturtzel and C. Tischendorf. Finding Beneficial DAE Structures in Circuit Simulation. In Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry, W. Jäger und H.-J. Krebs (eds.), Springer, Berlin, pp. 413-428 (2003).

  24. I. Higueras, R. März, and C. Tischendorf. Stability preserving integration of index-2 DAEs. Appl. Numer. Math., 45, pp. 201-229 (2003).

  25. I. Higueras, R. März, and C. Tischendorf. Stability preserving integration of index-1 DAEs. Appl. Numer. Math., 45, pp. 175-200 (2003).

  26. R. Lamour, R. März, and C. Tischendorf. PDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems., Preprint 01-11, Institut für Mathematik, Humboldt-Universität zu Berlin (2001).

  27. C. Tischendorf. Model design criteria for integrated circuits to have a unique solution and good numerical properties. Lecture Notes in Computational Science and Engineering 18 (Eds. U. van Rienen, M. Günther, D. Hecht), Springer Verlag Berlin Heidelberg, pp. 179-198 (2001).

  28. D. Estévez Schwarz and C. Tischendorf. Mathematical Problems in Circuit Simulation. Math. Comput. Model. Dyn. Syst., 7(2), pp. 215-223 (2001).

  29. D. Estévez Schwarz and C. Tischendorf. Structural analysis for electric circuits and consequences for MNA. Int. J. Circ. Theor. Appl., 28, pp. 131-162 (2000).

  30. C. Tischendorf. Topological index calculation of DAEs in circuit simulation. Surv. Math. Ind., 8 (3-4), pp. 187-199 (1999).

  31. R.März and C. Tischendorf. Recent results in solving index 2 differential algebraic equations in circuit simulation., SIAM J. Sci. Comput., 18 (1), pp. 139-159 (1997).

  32. C. Tischendorf. Topological index calculation of DAEs in circuit simulation. ZAMM, Z. Angew. Math. Mech., 78 (3), pp. S1103--S1104 (1998).

  33. C. Tischendorf: Index-2-DAEs in der Schaltkreissimulation. 3. Workshop über Deskriptorsysteme, Paderborn, 325-335, 1996.

  34. C. Tischendorf. Solution of index-2-DAEs and its application in circuit simulation, PhD thesis, Humboldt-Univ. zu Berlin, 1996 (appeared in Logos-Verlag Berlin 1996).

  35. C. Tischendorf. Struktur und Index mathematischer Modelle in der Schaltkreissimulation, ITG-Diskussionssitzung Neue Anwendungen theoretischer Konzepte in der Elektrotechnik, Berlin, 55-60 (1995).

  36. C. Tischendorf. Feasibility and stability behaviour of the BDF applied to index-2 differential algebraic equations, ZAMM, 75(12):927-946 (1995).

  37. C. Tischendorf. Feasiblity and stability behaviour of the BDF applied to index-2 DAE's, IMACS World Congress on Computational and Applied Mathematics, Atlanta, Volume 1, 466-469 (1994).

  38. C. Tischendorf. On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs, Circuits Systems Signal Process., 13(2-3):139-154 (1994).

  39. R.März and C. Tischendorf. Solving more general index 2 differential algebraic equations, Comp. and Math. with Appl., 28(10-12):77-105 (1994).

  40. C. Tischendorf. Die BDF für nichtlineare Algebro-Differentialgleichungen vom Index 2, Diploma thesis, Humboldt-Univ. zu Berlin (1992).

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Last modified: 20.01.2012 10:47:13