Forschung

• D. Estévez Schwarz and R. Lamour,: Projected Explicit and Implicit Taylor Series Methods for DAEs. Numerical Algorithms 88, 615-646 (2021). doi.org/10.1007/s11075-020-01051-z

   

• R. Lamour,  R. März and D. Estévez Schwarz: Singularities of the Robotic Arm DAE, in Progress in Differential-Algebraic Equations II, Differential-Algebraic Equations Forum (DAE-F), Reis, T., Grundel, S., Schöps, S. (Eds.), Springer (2020). Link to Preprint.

   

• D. Estévez Schwarz and R. Lamour: A Projector Based Decoupling of DAEs obtained from the Derivative Array, in Progress in Differential-Algebraic Equations II, Differential-Algebraic Equations Forum (DAE-F), Reis, T., Grundel, S., Schöps, S. (Eds.), Springer (2020).  Link zu Preprint.

   

• D. Estévez Schwarz and R. Lamour: InitDAE: Computation of consistent initial values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Pyhton. Journal of Computational and Applied Mathematics (2019) DOI: 10.1016/j.cam.2019.112486 cf. (Link to Preprint)

   

• D. Estévez Schwarz and E. Sommer: Feasible smooth income tax schedules: benefits and distributional implications, Applied Economics, Applied Economics, Volume 52Issue 2, (2020) .  Download.

• R. Pulch, D. Estévez Schwarz and R. Lamour: Index-analysis for a method of lines discretising multirate partial differential algebraic equations, Applied Numerical Mathematics 130, 51-69 (2018).

   

• R. Lamour and D. Estévez Schwarz: Discovering Singular Points in DAE Models, in Modeling, Simulation and Optimization of Complex Processes HPSC 2015, Bock,  H.G., Phu, H.X., Rannacher, R., Schlöder, J. (Eds.), Springer (2017).

   

• D. Estévez Schwarz and R. Lamour: A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector based constrained optimization. Numerical Algorithms 78, pp. 355–377 (2018)   (Link to Preprint)

   

• D. Estévez Schwarz and R. Lamour: Consistent initialization for higher-index DAEs using a projector based minimum-norm specification.  Preprint 2016-01, Fachbereich Mathematik, Humboldt-Universität zu Berlin.

   

• D. Estévez Schwarz and R. Lamour: A new projector based decoupling of linear DAEs for monitoring singularities. Numerical Algorithms,  73 (2), pp 535–565 (2016). (view-only version)

   

• D. Estévez Schwarz and C. M. da Fonseca: On Singular Values Related to DAEs in Kronecker Canonical Form. Mediterranean Journal of Mathematics 13(5), pp. 2813-2826, (2016), DOI: 10.1007/s00009-015-0657-5.

   

• D. Estévez Schwarz and R. Lamour: Diagnosis of singular points of properly stated DAEs using automatic differentiation. Numerical Algorithms, 70 (4) pp. 777-805 (2015).

   

• D. Estévez Schwarz and R. Lamour: Diagnosis of singular points of structured DAEs using automatic differentiation. Numerical Algorithms, 69 (4), pp. 667-691 (2015). 

   

• R. Lamour and D. Estévez Schwarz: Towards an AD based diagnosis of singularities of DAEs. PAMM Proc. Appl. Math. Mech. 14, 867-868 (2014), DOI 10.1002/pamm.201410414.

   

• D. Estévez Schwarz and R. Lamour: Monitoring Singularities While Integrating DAEs, in Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum (DAE-F), Schöps, S., Bartel, A., Günther, M., ter Maten, E.J.W., Müller, P.C. (Eds.), Springer (2014).

   

• D. Estévez Schwarz and R. Lamour: Projector based integration of DAEs with the Taylor series method using automatic differentiation, Journal of Computational and Applied Mathematics, 62–72 (2014).

   

• D. Estévez Schwarz: Consistent initialization for DAEs in Hessenberg form. Numerical Algorithms, 52 (4), pp. 629-648 (2009).

   

• D. Estévez Schwarz, U. Feldmann: Actual Problems of Circuit Simulation in Industry. Oberwolfach Proceedings  "Mathematical Modelling, Simulation and Optimization of Integrated Electrical Circuits", K. Antreich and A. Gilg (eds), Birkhäuser Verlag, ISNM Vol. 146 (2004).

   

• 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).

   

• J. Mades, M. Glesner, D. Estévez Schwarz: A Discrete Algorithm  for the Regularization of Hierarchical VHDL-AMS Models. Proceedings of the IEEE International Symposium on Circuits and Systems ISCAS 2002, Scottsdale, Arizona, USA, May 26-29 (2002).

   

• D. Estévez Schwarz: A step-by-step Approach to Compute a Consistent Initialization for the MNA. Int. J. of Circuit Theory and Applications, (30), 1-16 (2002).

   

• C. Tischendorf and D. Estévez Schwarz: Mathematical Problems in Circuit Simulation. Mathematical and Computer Modelling of Dynamical Systems, 7 (2), pp. 215-223 (2001).

   

• D. Estévez Schwarz and R. Lamour: The Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations. Numerical Algorithms, 26 (1), pp. 49-75 (2001).

   

• D. Estévez Schwarz and C. Tischendorf: Structural Analysis for Electric Circuits and Consequences for MNA. Int. J. of Circuit Theory and Applications, (28), 131-162 (2000).

   

• D. Estévez Schwarz: Consistent Initialization for Index-2 Differential Algebraic Equations and its Application to Circuit Simulation. Humboldt-Universität Berlin, Dissertation (2000). Elektronisch veröffentlicht unter dochost.rz.hu-berlin.de.

   

• D. Estévez Schwarz: Consistent initial values for DAE systems in circuit simulation. Preprint 99-5, Fachbereich Mathematik, Humboldt-Universität zu Berlin.

   

• D. Estévez Schwarz: Topological analysis for consistent initialization in cicuit simulation. Preprint 99-3, Fachbereich Mathematik, Humboldt-Universität zu Berlin.

Software

• InitDAE determines the index and computes consistent initial values for general DAEs.

Patente

• D. Estévez Schwarz: Diagnoseverfahren zur korrekten Behandlung von Unstetigkeiten bei der Schaltungs- oder Mixed-Signal-Simulation. DE 10159548 C1, 2003.

• J. Mades, D. Estévez Schwarz: Verfahren zur strukturellen Analyse und zur Korrektur eines mittels einer Computersprache beschriebenen Differentialgleichungssystems. DE 10150914 C1, 2003.

Berichte Fachbereich II, BHT

• D. Estévez Schwarz: Structured Second-Order Linear ODEs: Eigenvalues, Singular Values and the DMD, Report 1/2024, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2024).

  D. Estévez Schwarz: Visualisierung der Singulärwertzerlegung (SVD) in ℝ, ℝ² und ℝ³. Report 1/2022, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2022).

• D. Estévez Schwarz:  A DAE Approach to Control SEIR ODEs. Report 2/2020, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2020).

• D. Estévez Schwarz: Wellen und Blumen - eine anschauliche Darstellung der Fourier-Transformation. Report 2/2018, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2018).

• D. Estévez Schwarz:  Herleitung einer Einkommensteuerfunktion durch Modellierung mit Differentialgleichungen . Report 2/2017, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2017).

• D. Estévez Schwarz:  Structural forms and consistent initial values for DAEs from applications. Report 6/2010, Reports in Mathematics, Physics and Chemistry, Department II, Berliner Hochschule für Technik (2010).