Uni.-Prof. Werner M. Seiler - Forschungsinformationssystem | Universität Kassel - CONVERIS Forschungsinformationsystem

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Prof. Dr. Werner M. Seiler

Forschungsfelder

Mathematik

Forschungsinteressen

Differentialgleichungen, Kommutative Algebra, Mathematische Physik, Computeralgebra

Projektleitung

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10/2010 - 10/2013	Bifurcations and Singularities of Algebraic Differential Equations
02/2010 - 05/2010	Gastaufenthalt RUS
01/2010 - 10/2010	Algorithmen für Dynamische Systeme mit Zwangsbedingungen
2010 - 2013	Bifurkationen und Singularitäten
2010 - 2012	Förd.ausländ.Gastdozenten
2010 - 2010	Italien
06/2008 - 06/2012	Überbestimmte Systeme Singulärer Differentialgleichungen
10/2007 - 10/2010	Algebraic and Geometric Analysis of Polynomially Nonlinear Partial Differential Equations
10/2006 - 10/2010	Computational Koszul Homology and Spencer Cohomology
10/2006 - 10/2010	Kommutative Algebra mit Involutiven Basen

Projektbeteiligungen

10/2006 - 10/2008	Konstruktive Theorie Algebraischer Differentialgleichungen
10/2006 - 10/2008	Vessiot-Theorie

Publikationen

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2023	Ziebarth, J., Seiler, W., Fuhrmann-Lieker, T., 2023. Size-Resolved Modeling of Diatom Populations: Old Findings and New Insights, in: Pappas, J.L. (Hrsg.), The Mathematical Biology of Diatoms. John Wiley & Sons Incorporated}, Newark, S. 19–61.
2021	Seiler, W., Seiß, M., Sturm, T., 2021. A Logic Based Approach to Finding Real Singularities of Implicit Ordinary Differential Equations. Mathematics in Computer Science 15, 333–352. https://doi.org/10.1007/s11786-020-00485-x
2021	Hashemi, A., Izgin, T., Robertz, D., Seiler, W., 2021. An Involutive GVW Algorithm and the Computation of Pommaret Bases. Mathematics in Computer Science 15, 419–452. https://doi.org/10.1007/s11786-021-00512-5
2021	Aramideh, N., Hashemi, A., Seiler, W., 2021. Computing the resolution regularity of bi-homogeneous ideals. Journal of Symbolic Computation 103, 141–156. https://doi.org/10.1016/j.jsc.2019.12.001
2021	Hashemi, A., Parnian, H., Seiler, W., 2021. Degree Upper Bounds for Involutive Bases. Mathematics in Computer Science 15, 233–254. https://doi.org/10.1007/s11786-020-00480-2
2021	Fuhrmann-Lieker, T., Kubetschek, N., Ziebarth, J., Klassen, R., Seiler, W., 2021. Is the diatom sex clock a clock? Journal of the Royal Society Interface 18, 20210146. https://doi.org/10.1098/rsif.2021.0146
2021	Seiler, W., Seiß, M., 2021. No Chaos in Dixon’s System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31, 2150044. https://doi.org/10.1142/S0218127421500449
2021	Seiler, W., Seiß, M., 2021. Singular initial value problems for scalar quasi-linear ordinary differential equations. Journal of Differential Equations 281, 258–288. https://doi.org/10.1016/j.jde.2021.02.010
2021	Lange-Hegermann, M., Robertz, D., Seiler, W., Seiß, M., 2021. Singularities of Algebraic Differential Equations. Advances in Applied Mathematics 131, 102266. https://doi.org/10.1016/j.aam.2021.102266
2020	Seiler, W., Seiß, M., 2020. Algebraic and Geometric Analysis of Singularities of Implicit Differential Equations (Invited Talk), in: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (Hrsg.), Computer Algebra in Scientific Computing. Springer International Publishing, Cham, S. 14–41. https://doi.org/10.1007/978-3-030-60026-6_2