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Seiler, Werner M.

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Author ID: seiler.werner-m Recent zbMATH articles by "Seiler, Werner M."
Published as: Seiler, W. M.; Seiler, Werner; Seiler, Werner M.
Homepage: http://www.mathematik.uni-kassel.de/~seiler/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp
Documents Indexed: 78 Publications since 1991, including 8 Books
Reviewing Activity: 264 Reviews

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 268 times in 157 Documents Cited by Year
Involution. The formal theory of differential equations and its applications in computer algebra. Zbl 1205.35003
Seiler, Werner M.
55
2010
A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases. Zbl 1175.13011
Seiler, Werner M.
22
2009
A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type. Zbl 1175.13012
Seiler, Werner M.
18
2009
On the arbitrariness of the general solution of an involutive partial differential equation. Zbl 0803.35143
Seiler, Werner M.
14
1994
Detection of Hopf bifurcations in chemical reaction networks using convex coordinates. Zbl 1349.92168
Errami, Hassan; Eiswirth, Markus; Grigoriev, Dima; Seiler, Werner M.; Sturm, Thomas; Weber, Andreas
13
2015
An efficient algebraic algorithm for the geometric completion to involution. Zbl 1095.13550
Hausdorf, Marcus; Seiler, Werner M.
11
2002
Involutions and constrained dynamics. I: The Dirac approach. Zbl 0868.35118
Seiler, Werner M.; Tucker, Robin W.
11
1995
SC\(^2\): satisfiability checking meets symbolic computation. (Project paper). Zbl 1344.68198
Ábrahám, Erika; Abbott, John; Becker, Bernd; Bigatti, Anna M.; Brain, Martin; Buchberger, Bruno; Cimatti, Alessandro; Davenport, James H.; England, Matthew; Fontaine, Pascal; Forrest, Stephen; Griggio, Alberto; Kroening, Daniel; Seiler, Werner M.; Sturm, Thomas
10
2016
Overdetermined elliptic systems. Zbl 1101.35061
Krupchyk, Katsiaryna; Seiler, Werner M.; Tuomela, Jukka
8
2006
Quasi-stability versus genericity. Zbl 1373.13028
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
7
2012
Deterministic genericity for polynomial ideals. Zbl 1446.13021
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
6
2018
Spencer cohomology, differential equations, and Pommaret bases. Zbl 1162.13013
Seiler, Werner M.
6
2007
Indices and solvability for general systems of differential equations. Zbl 1098.34003
Seiler, Werner M.
6
1999
Index concepts for general systems of partial differential equations. Zbl 0985.65113
Seiler, W. M.
5
2001
Numerical integration of constrained Hamiltonian systems using Dirac brackets. Zbl 1043.65081
Seiler, Werner M.
5
1999
Algorithmic methods for Lie pseudogroups. Zbl 0803.58003
Schü, Joachim; Seiler, Werner M.; Calmet, Jacques
5
1993
Efficient methods to compute Hopf bifurcations in chemical reaction networks using reaction coordinates. Zbl 1412.34132
Errami, Hassan; Eiswirth, Markus; Grigoriev, Dima; Seiler, Werner M.; Sturm, Thomas; Weber, Andreas
4
2013
Involution and symmetry reductions. Zbl 0906.34006
Seiler, W. M.
4
1997
Involution and constrained dynamics. II: The Faddeev-Jackiw approach. Zbl 0925.70170
Seiler, Werner M.
4
1995
Algebraic theory of linear systems: a survey. Zbl 1328.93074
Seiler, Werner M.; Zerz, Eva
3
2015
Effective genericity, \(\delta\)-regularity and strong Noether position. Zbl 1262.13043
Seiler, Werner M.
3
2012
\(\delta\)- and quasi-regularity for polynomial ideals. Zbl 1178.13013
Hausdorf, Marcus; Sahbi, Mehdi; Seiler, Werner M.
3
2006
Position versus momentum projections for constrained Hamiltonian systems. Zbl 0923.70004
Seiler, Werner M.
3
1998
Arbitrariness of the general solution and symmetries. Zbl 0844.35020
Seiler, Werner M.
3
1995
Janet bases and resolutions in CoCoALib. Zbl 1439.13074
Albert, Mario; Fetzer, Matthias; Seiler, Werner M.
2
2015
On the free resolution induced by a Pommaret basis. Zbl 1327.13097
Albert, Mario; Fetzer, Matthias; Sáenz-de-Cabezón, Eduardo; Seiler, Werner M.
2
2015
Computing Hopf bifurcations in chemical reaction networks using reaction coordinates. Zbl 1373.92153
Errami, Hassan; Seiler, Werner M.; Eiswirth, Markus; Weber, Andreas
2
2012
Parametric qualitative analysis of ordinary differential equations: computer algebra methods for excluding oscillations (extended abstract, invited talk). Zbl 1290.68140
Weber, Andreas; Sturm, Thomas; Seiler, Werner M.; Abdel-Rahman, Essam O.
2
2010
On the numerical analysis of overdetermined linear partial differential systems. Zbl 1020.35064
Hausdorf, Marcus; Seiler, Werner M.
2
2003
Taylor and Lyubeznik resolutions via Gröbner bases. Zbl 1040.13012
Seiler, Werner M.
2
2002
Involutive bases in the Weyl algebra. Zbl 1054.16023
Hausdorf, Marcus; Seiler, Werner M.; Steinwandt, Rainer
2
2002
Perturbation versus differentiation indices. Zbl 1030.34002
Hausdorf, Marcus; Seiler, Werner M.
2
2001
A MuPAD library for differential equations. Zbl 1021.68108
Belanger, Jay; Hausdorf, Marcus; Seiler, Werner M.
2
2001
Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations. Zbl 1017.70505
Seiler, Werner M.
2
1998
Computer algebra and field theories. Zbl 1017.68952
Calmet, J.; Seiler, W. M.
2
1998
SUPERCALC - a REDUCE package for commutator calculations. Zbl 0875.65008
Seiler, Werner M.
2
1991
Singular initial value problems for scalar quasi-linear ordinary differential equations. Zbl 07319415
Seiler, Werner M.; Seiß, Matthias
1
2021
Nœther bases and their applications. Zbl 1430.13045
Hashemi, Amir; Parnian, Hossein; Seiler, Werner M.
1
2019
A Pommaret bases approach to the degree of a polynomial ideal. Zbl 1410.13017
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
1
2018
Dimension-dependent upper bounds for Gröbner bases. Zbl 1450.13012
Hashemi, Amir; Seiler, Werner M.
1
2017
Improved computation of involutive bases. Zbl 1453.13074
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
1
2016
Deterministically computing reduction numbers of polynomial ideals. Zbl 1416.68220
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
1
2014
Singularities of implicit differential equations and static bifurcations. Zbl 1417.34187
Seiler, Werner M.
1
2013
Singularities in the geometric theory of differential equations. Zbl 1306.35004
Kant, Ulrike; Seiler, Werner M.
1
2011
On the inverse syzygy problem. Zbl 1206.16006
Zerz, Eva; Seiler, Werner M.; Hausdorf, Marcus
1
2010
Existence and construction of Vessiot connections. Zbl 1189.35014
Fesser, Dirk; Seiler, Werner M.
1
2009
Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Zbl 1170.37001
Calmet, J. (ed.); Seiler, W. M. (ed.); Tucker, R. W. (ed.)
1
2006
Involution analysis of the partial differential equations characterizing Hamiltonian vector fields. Zbl 1061.37036
Seiler, Werner M.
1
2003
Differential equations, Spencer cohomology, and computing resolutions. Zbl 1054.58010
Lambe, Larry A.; Seiler, Werner M.
1
2002
Completion to involution and semidiscretisations. Zbl 1004.65097
Seiler, Werner M.
1
2002
Pseudo differential operators and integrable systems in AXIOM. Zbl 0878.65108
Seiler, Werner M.
1
1994
Singular initial value problems for scalar quasi-linear ordinary differential equations. Zbl 07319415
Seiler, Werner M.; Seiß, Matthias
1
2021
Nœther bases and their applications. Zbl 1430.13045
Hashemi, Amir; Parnian, Hossein; Seiler, Werner M.
1
2019
Deterministic genericity for polynomial ideals. Zbl 1446.13021
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
6
2018
A Pommaret bases approach to the degree of a polynomial ideal. Zbl 1410.13017
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
1
2018
Dimension-dependent upper bounds for Gröbner bases. Zbl 1450.13012
Hashemi, Amir; Seiler, Werner M.
1
2017
SC\(^2\): satisfiability checking meets symbolic computation. (Project paper). Zbl 1344.68198
Ábrahám, Erika; Abbott, John; Becker, Bernd; Bigatti, Anna M.; Brain, Martin; Buchberger, Bruno; Cimatti, Alessandro; Davenport, James H.; England, Matthew; Fontaine, Pascal; Forrest, Stephen; Griggio, Alberto; Kroening, Daniel; Seiler, Werner M.; Sturm, Thomas
10
2016
Improved computation of involutive bases. Zbl 1453.13074
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
1
2016
Detection of Hopf bifurcations in chemical reaction networks using convex coordinates. Zbl 1349.92168
Errami, Hassan; Eiswirth, Markus; Grigoriev, Dima; Seiler, Werner M.; Sturm, Thomas; Weber, Andreas
13
2015
Algebraic theory of linear systems: a survey. Zbl 1328.93074
Seiler, Werner M.; Zerz, Eva
3
2015
Janet bases and resolutions in CoCoALib. Zbl 1439.13074
Albert, Mario; Fetzer, Matthias; Seiler, Werner M.
2
2015
On the free resolution induced by a Pommaret basis. Zbl 1327.13097
Albert, Mario; Fetzer, Matthias; Sáenz-de-Cabezón, Eduardo; Seiler, Werner M.
2
2015
Deterministically computing reduction numbers of polynomial ideals. Zbl 1416.68220
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
1
2014
Efficient methods to compute Hopf bifurcations in chemical reaction networks using reaction coordinates. Zbl 1412.34132
Errami, Hassan; Eiswirth, Markus; Grigoriev, Dima; Seiler, Werner M.; Sturm, Thomas; Weber, Andreas
4
2013
Singularities of implicit differential equations and static bifurcations. Zbl 1417.34187
Seiler, Werner M.
1
2013
Quasi-stability versus genericity. Zbl 1373.13028
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M.
7
2012
Effective genericity, \(\delta\)-regularity and strong Noether position. Zbl 1262.13043
Seiler, Werner M.
3
2012
Computing Hopf bifurcations in chemical reaction networks using reaction coordinates. Zbl 1373.92153
Errami, Hassan; Seiler, Werner M.; Eiswirth, Markus; Weber, Andreas
2
2012
Singularities in the geometric theory of differential equations. Zbl 1306.35004
Kant, Ulrike; Seiler, Werner M.
1
2011
Involution. The formal theory of differential equations and its applications in computer algebra. Zbl 1205.35003
Seiler, Werner M.
55
2010
Parametric qualitative analysis of ordinary differential equations: computer algebra methods for excluding oscillations (extended abstract, invited talk). Zbl 1290.68140
Weber, Andreas; Sturm, Thomas; Seiler, Werner M.; Abdel-Rahman, Essam O.
2
2010
On the inverse syzygy problem. Zbl 1206.16006
Zerz, Eva; Seiler, Werner M.; Hausdorf, Marcus
1
2010
A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases. Zbl 1175.13011
Seiler, Werner M.
22
2009
A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type. Zbl 1175.13012
Seiler, Werner M.
18
2009
Existence and construction of Vessiot connections. Zbl 1189.35014
Fesser, Dirk; Seiler, Werner M.
1
2009
Spencer cohomology, differential equations, and Pommaret bases. Zbl 1162.13013
Seiler, Werner M.
6
2007
Overdetermined elliptic systems. Zbl 1101.35061
Krupchyk, Katsiaryna; Seiler, Werner M.; Tuomela, Jukka
8
2006
\(\delta\)- and quasi-regularity for polynomial ideals. Zbl 1178.13013
Hausdorf, Marcus; Sahbi, Mehdi; Seiler, Werner M.
3
2006
Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Zbl 1170.37001
Calmet, J. (ed.); Seiler, W. M. (ed.); Tucker, R. W. (ed.)
1
2006
On the numerical analysis of overdetermined linear partial differential systems. Zbl 1020.35064
Hausdorf, Marcus; Seiler, Werner M.
2
2003
Involution analysis of the partial differential equations characterizing Hamiltonian vector fields. Zbl 1061.37036
Seiler, Werner M.
1
2003
An efficient algebraic algorithm for the geometric completion to involution. Zbl 1095.13550
Hausdorf, Marcus; Seiler, Werner M.
11
2002
Taylor and Lyubeznik resolutions via Gröbner bases. Zbl 1040.13012
Seiler, Werner M.
2
2002
Involutive bases in the Weyl algebra. Zbl 1054.16023
Hausdorf, Marcus; Seiler, Werner M.; Steinwandt, Rainer
2
2002
Differential equations, Spencer cohomology, and computing resolutions. Zbl 1054.58010
Lambe, Larry A.; Seiler, Werner M.
1
2002
Completion to involution and semidiscretisations. Zbl 1004.65097
Seiler, Werner M.
1
2002
Index concepts for general systems of partial differential equations. Zbl 0985.65113
Seiler, W. M.
5
2001
Perturbation versus differentiation indices. Zbl 1030.34002
Hausdorf, Marcus; Seiler, Werner M.
2
2001
A MuPAD library for differential equations. Zbl 1021.68108
Belanger, Jay; Hausdorf, Marcus; Seiler, Werner M.
2
2001
Indices and solvability for general systems of differential equations. Zbl 1098.34003
Seiler, Werner M.
6
1999
Numerical integration of constrained Hamiltonian systems using Dirac brackets. Zbl 1043.65081
Seiler, Werner M.
5
1999
Position versus momentum projections for constrained Hamiltonian systems. Zbl 0923.70004
Seiler, Werner M.
3
1998
Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations. Zbl 1017.70505
Seiler, Werner M.
2
1998
Computer algebra and field theories. Zbl 1017.68952
Calmet, J.; Seiler, W. M.
2
1998
Involution and symmetry reductions. Zbl 0906.34006
Seiler, W. M.
4
1997
Involutions and constrained dynamics. I: The Dirac approach. Zbl 0868.35118
Seiler, Werner M.; Tucker, Robin W.
11
1995
Involution and constrained dynamics. II: The Faddeev-Jackiw approach. Zbl 0925.70170
Seiler, Werner M.
4
1995
Arbitrariness of the general solution and symmetries. Zbl 0844.35020
Seiler, Werner M.
3
1995
On the arbitrariness of the general solution of an involutive partial differential equation. Zbl 0803.35143
Seiler, Werner M.
14
1994
Pseudo differential operators and integrable systems in AXIOM. Zbl 0878.65108
Seiler, Werner M.
1
1994
Algorithmic methods for Lie pseudogroups. Zbl 0803.58003
Schü, Joachim; Seiler, Werner M.; Calmet, Jacques
5
1993
SUPERCALC - a REDUCE package for commutator calculations. Zbl 0875.65008
Seiler, Werner M.
2
1991
all top 5

Cited by 220 Authors

31 Seiler, Werner M.
11 Gerdt, Vladimir P.
9 Hashemi, Amir
6 Davenport, James Harold
5 Bertone, Cristina
5 England, Matthew
5 Khavkine, Igor
5 Robertz, Daniel
5 Roggero, Margherita
5 Tuomela, Jukka
4 Albert, Mario
4 Ceria, Michela
4 Kruglikov, Boris S.
4 Sturm, Thomas F.
3 Bright, Curtis
3 Calmet, Jacques
3 Cioffi, Francesca
3 D’Alfonso, Lisi
3 Ganesh, Vijay
3 Jeronimo, Gabriela
3 Kaptsov, Oleg V.
3 Kotsireas, Ilias S.
3 Lange-Hegermann, Markus
3 Lyakhov, Dmitry A.
3 Michels, Dominik Ludewig
3 Mohammadi, Bijan
3 Mora, Teo
3 Olver, Peter John
3 Romanovski, Valery G.
3 Seiß, Matthias
3 Solernó, Pablo
3 Valiquette, Francis
2 Ábrahám, Erika
2 Bächler, Thomas
2 Banaji, Murad
2 Binaei, Bentolhoda
2 Blinkov, Yuri A.
2 Blinkov, Yury A.
2 Chaolu, Temuer
2 Griggio, Alberto
2 Hartley, David H.
2 Heinle, Albert
2 Krupchyk, Katsiaryna
2 Kunzinger, Michael
2 La Scala, Roberto
2 Lyakhovich, Simon L.
2 M.-Alizadeh, Benyamin
2 Popovych, Roman O.
2 Quadrat, Alban
2 Sáenz de Cabezón Irigaray, Eduardo
2 Sedoglavic, Alexandre
2 Sharapov, Alexey A.
2 Tarkhanov, Nikolai N.
2 Verdier, Olivier
2 Weber, Andreas Günter
1 Abbott, John A.
1 Aksteiner, Steffen
1 Alonso, Mariemi E.
1 Alsaedy, Ammar
1 Amari, Shinji
1 Amodio, Pierluigi
1 Andersson, Lars Åke
1 Aramideh, Nasibeh
1 Armstrong, John
1 Arnaldsson, Örn
1 Aschenbrenner, Matthias
1 Bäckdahl, Thomas
1 Bai, Tonglaga
1 Becker, Bernd
1 Betsch, Peter
1 Bigatti, Anna Maria
1 Blajer, Wojciech
1 Bluman, George W.
1 Boulier, François
1 Boyko, Vyacheslav M.
1 Bradford, Russell J.
1 Brain, Martin
1 Braun, Elishan
1 Bridge, James P.
1 Brienza, Fabrizio
1 Brown, Christopher W.
1 Brugnano, Luigi
1 Brunelli, J. C.
1 Brunetti, Romeo
1 Buchberger, Bruno
1 Castro-Jiménez, Francisco Jesús
1 Chen, Yufu
1 Chen, Yuxian
1 Chyzak, Frédéric
1 Cimatti, Alessandro
1 Cimprič, Jaka
1 Cohen, David A.
1 Conradi, Carsten
1 Cotăescu, Ion I.
1 Ding, Qi
1 Đoković, Dragomir Ž.
1 Dolan, Peter
1 Dolzmann, Andreas
1 Eiswirth, Markus
1 Errami, Hassan
...and 120 more Authors
all top 5

Cited in 78 Serials

26 Journal of Symbolic Computation
7 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Mathematical Physics
4 Programming and Computer Software
4 Mathematics in Computer Science
3 Journal of Mathematical Analysis and Applications
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 Mathematics and Computers in Simulation
3 Acta Applicandae Mathematicae
3 Mathematical and Computer Modelling
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Computer Physics Communications
2 Journal of Computational Physics
2 Theoretical and Mathematical Physics
2 Applied Mathematics and Computation
2 Journal of Algebra
2 Journal of Differential Equations
2 Applied Numerical Mathematics
2 Differential Geometry and its Applications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Annals of Mathematics and Artificial Intelligence
2 Journal of High Energy Physics
2 Lobachevskii Journal of Mathematics
2 Foundations of Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Modern Physics A
1 Communications in Algebra
1 Mathematische Semesterberichte
1 Reports on Mathematical Physics
1 Bulletin of Mathematical Biology
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Pure and Applied Algebra
1 Le Matematiche
1 Results in Mathematics
1 Theoretical Computer Science
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Bulletin of the Iranian Mathematical Society
1 International Journal of Mathematics
1 Multidimensional Systems and Signal Processing
1 Journal of Elasticity
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Algebraic Combinatorics
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Selecta Mathematica. New Series
1 Journal of Mathematical Chemistry
1 Transformation Groups
1 International Journal of Computational Fluid Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 International Journal of Modern Physics C
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Journal of Algebra and its Applications
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Mathematical Cryptology
1 ACM Communications in Computer Algebra
1 Journal of Commutative Algebra
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Symmetry
1 Bulletin of Mathematical Sciences
1 Journal of Complex Analysis
1 Mathematics
1 Journal of Logical and Algebraic Methods in Programming
1 Journal of Siberian Federal University. Mathematics & Physics

Citations by Year

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