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Humboldt-Universität zu Berlin

Dept. of Mathematics, Group Prof. Dr. Tischendorf


MatheonLogo Research Center Matheon     BMSLogo Berlin Mathematical School     ECMathLogo Einstein Center ECMath

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Publications

DAEbook
[17-1] M. Hanke, R. März, C. Tischendorf, E. Weinmüller, S. Wurm. Least-squares collocation for linear higher-index differential-algebraic equations. Journal of Computational and Applied Mathematics, 317, pp. 403-431, 2017. [ bib | DOI ]
[16-2] E.J.W. ter Maten, P. Putek, M. Günther, R. Pulch, C. Tischendorf, C. Strohm, W. Schoenmaker, P. Meuris, B. De Smedt, P. Benner, L. Feng, N. Banagaaya, Y. Yue, R. Janssen, J.J. Dohmen, B. Tasić, F. Deleu, R. Gillon, A. Wieers, H.-G. Brachtendorf, K. Bittner, T. Kratochvíl, J. Petřzela, R. Sotner, T. Götthans, J. Dřínovský, S. Schöps, D.J. Duque Guerra, T. Casper, H. De Gersem, U. Römer, P. Reynier, P. Barroul, D. Masliah, B. Rousseau. Nanoelectronic COupled problems solutions - nanoCOPS: modelling, multirate, model order reduction, uncertainty quantification, fast fault simulation. Journal of Mathematics in Industry, 7(1), pp. 2, 2016. [ bib | DOI ]
[16-1] W. Schoenmaker and P. Meuris and C. Strohm and C. Tischendorf. Holistic coupled field and circuit simulation. 2016 Design, Automation Test in Europe Conference Exhibition (DATE), pp. 307-312, 2016. [ bib | online ]
[15-3] S. Baumanns, L. Jansen, M. Selva-Soto, and C. Tischendorf. Analysis of semi-discretized differential algebraic equation from coupled circuit device simulation. Computational and Applied Mathematics, Springer Basel, pp. 933-955, 2015. [ bib | DOI ]
[15-2] C. Strohm and C. Tischendorf. Interface Model Integrating Full-Wave Maxwell Simulation Models into Modified Nodal Equations for Circuit Simulation. 8th Vienna International Conferenceon Mathematical Modelling, IFAC-PapersOnLine, Volume 48, Issue 1, pp. 940-941, 2015. [ bib | DOI ]
[15-1] C. Tischendorf. Regularization of Electrical Circuits. 8th Vienna International Conferenceon Mathematical Modelling, IFAC-PapersOnLine, Volume 48, Issue 1, pp. 312-313, 2015. [ bib | DOI ]
[14-6] C. Huck, L. Jansen, and C. Tischendorf. A Topology Based Discretization of PDAEs Describing Water Transportation Networks. PAMM 14(1), 923--924. WILEY-VCH Verlag, 2014. [ bib | DOI ]
[14-5] S. Grundel, L. Jansen, N. Hornung, T. Clees, C. Tischendorf, and P. Benner. Model order reduction of differential algebraic equations arising from the simulation of gas transport networks. In Schöps, Sebastian and Bartel, Andreas and Günther, Michael and ter Maten, E. Jan W. and Müller, Peter C, editors, Progress in Differential-Algebraic Equations , Differential-Algebraic Equations Forum, 183-205. Springer Berlin Heidelberg, 2014. [ bib | DOI ]
[14-4] L. Jansen, and C. Tischendorf. A Unified (P)DAE Modeling Approach for Flow Networks. In Schöps, Sebastian and Bartel, Andreas and Günther, Michael and ter Maten, E. Jan W. and Müller, Peter C, editors, Progress in Differential-Algebraic Equations , Differential-Algebraic Equations Forum, 127-151. Springer Berlin Heidelberg, 2014. [ bib | DOI ]
[14-3] T. Arnold, T. Berthold, S. Heinz, S. Vigerske, R. Henrion, M. Grötschel, T. Koch, C. Tischendorf and W. Römisch. A Jack of all trades? Solving stochastic mixed-integer nonlinear constraint programs. In P. Deuflhard, M. Grötschel, D. Hömberg, U. Horst, J. Kramer, V. Mehrmann, K. Polthier, F. Schmidt, C. Schütte, M. Skutella, J. Sprekels, editors, Matheon - Mathematics for Key Technologies , EMS Series in Industrial and Applied Mathematics, 1:135-146. European Mathematical Society, 2014. [ bib | DOI ]
[14-2] C. Tischendorf, V. Mehrmann and K. Schmidt. Electronics. In P. Deuflhard, M. Grötschel, D. Hömberg, U. Horst, J. Kramer, V. Mehrmann, K. Polthier, F. Schmidt, C. Schütte, M. Skutella, J. Sprekels, editors, Matheon - Mathematics for Key Technologies , EMS Series in Industrial and Applied Mathematics, 1:233-242. European Mathematical Society, 2014. [ bib | DOI ]
[14-1] G. Alí, N. Banagaaya, W.H.A. Schilders, and C. Tischendorf. Index-aware model order reduction for differential-algebraic equations. Mathematical and Computer Modelling of Dynamical Systems, 20(4):345-373, 2014. [ bib | DOI ]
[13-4] G. Alí, N. Banagaaya, W.H.A. Schilders, and C. Tischendorf. Index-aware model order reduction for linear index-2 DAEs with constant coefficients. SIAM J. Sci. Comp., 35(3):A1487-A1510, 2013. [ bib | DOI ]
[13-3] L. Jansen, M. Matthes, and C. Tischendorf. Global unique solvability for memristive circuit DAEs of index 1. Int. J. Circ. Theor. Appl., 2013. [ bib | DOI ]
[13-2] R. Lamour, R. März, and C. Tischendorf. Differential-algebraic equations: A projector based analysis. Differential-Algebraic Equations Forum 1. Berlin: Springer, 2013. [ bib | DOI ]
[13-1] R. Riaza and C. Tischendorf. Structural characterization of classical and memristive circuits with purely imaginary eigenvalues. Int. J. Circ. Theor. Appl., 41:273-294, 2013. [ bib | DOI ]
[12-3] L. Jansen and C. Tischendorf. Effective numerical computation of parameter dependent problems. In Bastiaan Michielsen and Jean-René Poirier, editors, Scientific Computing in Electrical Engineering SCEE 2010, Mathematics in Industry, pages 49-57. Springer Berlin Heidelberg, 2012. [ bib | DOI ]
[12-2] W. Schoenmaker, M. Matthes, B. De Smedt, S. Baumanns, C. Tischendorf, and R. Janssen. Large signal simulation of integrated inductors on semi-conducting substrates. In Design, Automation Test in Europe Conference Exhibition (DATE), 2012, pages 1221-1226, 2012. [ bib | DOI ]
[12-1] A. Zecchin, P. Thum, A. Simpson, and C. Tischendorf. Steady-state behavior of large water distribution systems: Algebraic multigrid method for the fast solution of the linear step. Journal of Water Resources Planning and Management, 138(6):639-650, 2012. [ bib | DOI ]
[11-6] S. Baumanns, T. Clees, B. Klaassen, M. Selva Soto, and C. Tischendorf. Fully coupled circuit and device simulation with exploitation of algebraic multigrid linear solvers. In Proceedings of the edaWorkshop 11, pages 63-68. VDE Verlag, 2011. [ bib | DOI ]
[11-5] R. Lamour, R. März, and C. Tischendorf. Computational linear algebra aspects of projector based treatment of DAEs. Technical Report 11-17, Humboldt-University, Dep. of Mathematics, 2011. [ bib | .pdf ]
[11-4] R. Lamour, R. März, and C. Tischendorf. Projector based analysis of linear differential-algebraic equations. Technical Report 11-20, Humboldt-University, Dep. of Mathematics, 2011. [ bib | .pdf ]
[11-3] R. Lamour, R. März, and C. Tischendorf. Projector based treatment of linear constant coefficient DAEs. Technical Report 11-15, Humboldt-University, Dep. of Mathematics, 2011. [ bib | .pdf ]
[11-2] M. Matthes and C. Tischendorf. Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model. Appl. Numer. Math., 61(3):382-394, 2011. [ bib | DOI ]
[11-1] R. Riaza and C. Tischendorf. Semistate models of electrical circuits including memristors. International Journal of Circuit Theory and Applications, 39(6):607-627, 2011. [ bib | DOI ]
[10-6] S. Baumanns, M. Selva Soto, and C. Tischendorf. Consistent initialization for coupled circuit-device simulation. In J. Roos and L.R.J. Costa, editors, Scientific Computing in Electrical Engineering SCEE 2008, number 14 in Mathematics in Industry, pages 297-304, Berlin, 2010. Springer. [ bib | DOI ]
[10-5] S. Baumanns and C. Tischendorf. Simulation aspects of circuit daes including memristors. In ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, volume 1281, pages 996-999, 2010. [ bib | DOI ]
[10-4] Satoru Iwata, Mizuyo Takamatsu, and Caren Tischendorf. Hybrid analysis of nonlinear time-varying circuits providing daes with index at most one. In Janne Roos and Luis R.J. Costa, editors, Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, pages 151-158. Springer Berlin Heidelberg, 2010. [ bib | DOI ]
[10-3] M. Matthes and C. Tischendorf. Convergence of Galerkin solutions for linear differential-algebraic equations in Hilbert spaces. In ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, volume 1281, pages 247-250, 2010. [ bib | DOI ]
[10-2] R. Riaza and C. Tischendorf. The hyperbolicity problem in electrical circuit theory. Mathematical Methods in the Applied Sciences, 33(17):2037-2049, 2010. [ bib | DOI ]
[10-1] R. Riaza and C. Tischendorf. Existence of purely imaginary eigenvalues for DAEs with network structure. In ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010: AIP Conference Proceedings, volume 1281, pages 1000-1003, 2010. [ bib | DOI ]
[09-2] R. Lamour and C. Tischendorf. Wie Rechner rechnen. In M. Grötschel und B. Lutz-Westphal K. Biermann, editor, Besser als Mathe. Moderne angewandte Mathematik aus dem Matheon zum Mitmachen, pages 87-91. Vieweg+Teubner, 2009. [ bib | DOI ]
[09-1] C. Tischendorf. Similarities in circuit and multibody systems modeling. In ICNAAM 2009: International Conference on Numerical Analysis and Applied Mathematics 2009: AIP Conference Proceedings, volume 1168, pages 978-881, 2009. [ bib | DOI ]
[08-1] M. Bodestedt and C. Tischendorf. Numerical simulation of high-frequency circuits in telecommunication. In Hans-Joachim Krebs and Willi Jäger, editors, Mathematics - Key Technology for the Future, pages 9-18. Springer Berlin Heidelberg, 2008. [ bib | DOI ]
[07-2] M. Bodestedt and C. Tischendorf. PDAE models of integrated circuits and perturbation analysis. Math. Comput. Model. Dyn. Syst., 13(1):1-17, 2007. [ bib | DOI ]
[07-1] R. Riaza and C. Tischendorf. Qualitative features of matrix pencils and daes arising in circuit dynamics. Dynamical Systems, 22(2):107-131, 2007. [ bib | DOI ]
[05-2] T. Reis and C. Tischendorf. Frequency domain methods and decoupling of linear infinite dimensional differential-algebraic systems. J. Evol. Equ., 5(3):357-385, 2005. [ bib | DOI ]
[05-1] M. Selva Soto and C. Tischendorf. Numerical analysis of DAEs from coupled circuit and semiconductor simulation. Appl. Numer. Math., 53(2-4):471-488, 2005. [ bib | DOI ]
[03-7] C. Tischendorf. Coupled systems of differential algebraic and partial differential equations in circuit and device simulation. Inst. für Math., Humboldt-Univ. zu Berlin, Berlin, 2003. Habilitation thesis. [ bib | DOI | .pdf ]
[03-6] G. Alí, A. Bartel, M. Günther, and C. Tischendorf. Elliptic partial differential-algebraic multiphysics models in electrical network design. Math. Models Meth. Appl. Sci., 13(9):1261-1278, 2003. [ bib | DOI ]
[03-5] D. Estévez Schwarz, U. Feldmann, R. März, S. Sturtzel, and C. Tischendorf. Finding beneficial DAE structures in circuit simulation. In W. Jäger and H.-J. Krebs, editors, Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry, pages 413-428. Springer, 2003. [ bib | DOI ]
[03-4] I. Higueras, R. März, and C. Tischendorf. Stability preserving integration of index-1 DAEs. Appl. Numer. Math., 45(2–3):175 - 200, 2003. [ bib | DOI ]
[03-3] I. Higueras, R. März, and C. Tischendorf. Stability preserving integration of index-2 DAEs. Appl. Numer. Math., 45(2–3):201 - 229, 2003. [ bib | DOI ]
[03-2] R. März, D. Estévez Schwarz, U. Feldmann, S. Sturtzel, and C. Tischendorf. Finding beneficial dae structures in circuit simulation. In Willi Jäger and Hans-Joachim Krebs, editors, Mathematics - Key Technology for the Future, pages 413-428. Springer Berlin Heidelberg, 2003. [ bib | DOI ]
[03-1] C. Tischendorf. Modeling circuit systems coupled with distributed semiconductor equations. In Kurt Antreich, Roland Bulirsch, Albert Gilg, and Peter Rentrop, editors, Modeling, Simulation, and Optimization of Integrated Circuits, volume 146 of ISNM International Series of Numerical Mathematics, pages 229-247. Birkhäuser Basel, 2003. [ bib | DOI ]
[01-3] D. Estévez Schwarz and C. Tischendorf. Mathematical problems in circuit simulation. Math. Comput. Model. Dyn. Syst., 7(2):215-223, 2001. [ bib | DOI ]
[01-2] R. Lamour, R. März, and C. Tischendorf. PDAEs and further mixed systems as abstract differential algebraic systems. Technical Report 01-11, Inst. of Math., Humboldt Univ. of Berlin, 2001. [ bib | .html ]
[01-1] C. Tischendorf. Model design criteria for integrated circuits to have a unique solution and good numerical properties. In Ursula Rienen, Michael Günther, and Dirk Hecht, editors, Scientific Computing in Electrical Engineering, volume 18 of Lecture Notes in Computational Science and Engineering, pages 179-198. Springer Berlin Heidelberg, 2001. [ bib | DOI ]
[00-1] D. Estévez Schwarz and C. Tischendorf. Structural analysis of electric circuits and consequences for mna. Internat. J. Circ. Theor. Appl., 28(2):131-162, 2000. [ bib | DOI ]
[99-1] C. Tischendorf. Topological index calculation of differential-algebraic equations in circuit simulation. Surv. Math. Ind., 8:187-199, 1999. [ bib | .pdf (preprint version) ]
[98-1] C. Tischendorf. Topological index-calculation of DAEs in circuit simulation. In Z. angew. Math. Mech., volume 78, pages S1103-S1104, 1998. [ bib | DOI ]
[97-1] R. März and C. Tischendorf. Recent results in solving index 2 differential-algebraic equations in circuit simulation. SIAM J. Sci. Comput., 18(1):139-159, 1997. [ bib | DOI ]
[96-2] C. Tischendorf. Struktur und Index mathematischer Modelle in der Schaltkreissiumulation. In W. Mathis and P. Noll, editors, 2. ITG Diskussionssitzung: Neue Anwendungen Theoretischer Konzepte in der Elektrotechnik - mit Gedenksitzung zum 50. Todestag von Wilhelm Cauer, pages 66-60. VDE-Verlag, Berlin, Germany, 1996. [ bib ]
[96-1] C. Tischendorf. Solution of index-2 differential-algebraic equations and its application in circuit simulation. PhD thesis, Humboldt-Univ. of Berlin, 1996. [ bib | .pdf ]
[95-1] C. Tischendorf. Feasibility and stability behaviour of the BDF applied to index-2 differential-algebraic equations. Z. angew. Math. Mech., 75(11):927-946, 1995. [ bib | DOI ]
[94-2] R. März and C. Tischendorf. Solving more general index-2 differential algebraic equations. J. Comput. Appl. Math., 28(10-12):77-105, 1994. [ bib | DOI ]
[94-1] C. Tischendorf. On stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAE's. Circ. Syst. Signal Process., 13(2-3):139-154, 1994. [ bib | DOI ]
[92-1] C. Tischendorf. Die BDF für nichtlineare Algebro-Differentialgleichungen vom Index 2, 1992. Humboldt-Univ. of Berlin, Diplomarbeit. [ bib | .pdf ]

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Last modified: 05.12.2017 11:44:14