Uni.-Prof. Werner M. Seiler - Research Information System | University of Kassel - CONVERIS Research Information System

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Prof. Dr. Werner M. Seiler

Forschungsfelder

Mathematik

Forschungsinteressen

Differentialgleichungen, Kommutative Algebra, Mathematische Physik, Computeralgebra

Projektleitung

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03/2022 - 10/2026	GRK 2749/1_Multiscale Clocks_TP 11
03/2018 - 03/2019	Algorithmische Analyse von Systemen mit Zwangsbedingungen (Kooperation mit Tiflis)
02/2018 - 04/2022	Symbolische Methoden für Biologische Netzwerke
07/2016 - 09/2017	Geometrische Singularitäten Algebraischer Differentialgleichungen
07/2016 - 08/2016	Internationale Tagung: Applications of Computer Algebra (ACA)
07/2016 - 06/2018	Satisfiability Checking and Symbolic Computation
09/2015 - 09/2015	Internationale Tagung: Computer Algebra in Scientific Computing (CASC 2015)
06/2014 - 10/2026	Effektive Methoden für Hilbert-Schemata
06/2014 - 04/2015	Pommaret-Basen & Hilbert-Schemata
11/2011 - 12/2011	Tagungs-Konto / Konferenz CASC 2011

Projektbeteiligungen

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

Publikationen

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2002	Hausdorf, M., Seiler, W., 2002. An Efficient Algebraic Algorithm for the Geometric Completion to Involution. Applicable Algebra in Engineering, Communication and Computing 13, 163–207. https://doi.org/10.1007/s002000200099
2002	Hausdorf, M., Seiler, W., 2002. Involutive Bases in the Weyl Algebra. Journal of Symbolic Computation 34, 181–198. https://doi.org/10.1006/jsco.2002.0556
2001	Seiler, W., 2001. Special Issue Computational Geometry for Differential Equations. Applicable Algebra in Engineering, Communication and Computing 11, 331–332. https://doi.org/10.1007/s002000000056
1999	Seiler, W., 1999. Numerical integration of constrained Hamiltonian systems using Dirac brackets. Mathematics of Computation 68, 661–682. https://doi.org/10.1090/S0025-5718-99-01010-8
1997	Seiler, W., 1997. Involution and symmetry reductions. Mathematical and Computer Modelling 25, 63–73. https://doi.org/10.1016/S0895-7177(97)00059-9
1995	Seiler, W., 1995. Arbitrariness of the general solution and symmetries. Acta Applicandae Mathematicae 41, 311–322. https://doi.org/10.1007/BF00996120
1995	Seiler, W., Tucker, R.W., 1995. Involution and constrained dynamics. I. The Dirac approach. Journal of Physics A: Mathematical and General 28, 4431–4451. https://doi.org/10.1088/0305-4470/28/15/022
1994	Seiler, W., 1994. On the arbitrariness of the general solution of an involutive partial differential equation. Journal of Mathematical Physics 35, 486–498. https://doi.org/10.1063/1.530739
1994	Seiler, W., 1994. Pseudo differential operators and integrable systems in AXIOM. Computer Physics Communications 79, 329–340. https://doi.org/10.1016/0010-4655(94)90076-0
1991	Roque, W.L., Seiler, W., 1991. Anisotropic solutions in the 5D space-time-mass theory. General Relativity and Gravitation 23, 1151–1168. https://doi.org/10.1007/BF00757016