## Gatermann, Karin

Compute Distance To:
 Author ID: gatermann.karin Published as: Gatermann, Karin; Gatermann, K.
 Documents Indexed: 27 Publications since 1988, including 2 Books 1 Contribution as Editor Reviewing Activity: 34 Reviews Biographic References: 2 Publications Co-Authors: 20 Co-Authors with 17 Joint Publications 640 Co-Co-Authors
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### Co-Authors

 11 single-authored 2 Hoffmann, Christoph M. 2 Opfer, Gerhard 2 Verschelde, Jan 2 Werner, Bodo 1 Cools, Ronald 1 Corless, Robert Malcolm 1 Eiswirth, Markus 1 Guyard, Frédéric 1 Hohmann, Andreas 1 Hoşten, Serkan 1 Huber, Birkett 1 Huseyin, Koncay 1 Koepf, Wolfram A. 1 Kotsireas, Ilias S. 1 Langford, William F. 1 Lari-Lavassani, Ali 1 Lauterbach, Reiner 1 Parrilo, Pablo A. 1 Sensse, Anke 1 Wolfrum, Matthias
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### Serials

 7 Journal of Symbolic Computation 2 Mathematics of Computation 2 Advances in Applied Mathematics 1 Computing 1 Journal of Pure and Applied Algebra 1 Discrete & Computational Geometry 1 IMPACT of Computing in Science and Engineering 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Lecture Notes in Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 12 Numerical analysis (65-XX) 12 Computer science (68-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 5 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

27 Publications have been cited 268 times in 215 Documents Cited by Year
Symmetry groups, semidefinite programs, and sums of squares. Zbl 1108.13021
Gatermann, Karin; Parrilo, Pablo A.
2004
Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems. Zbl 1120.13033
Gatermann, Karin; Eiswirth, Markus; Sensse, Anke
2005
Computer algebra methods for equivariant dynamical systems. Zbl 0944.65131
Gatermann, Karin
2000
Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111
Verschelde, J.; Gatermann, K.; Cools, R.
1996
A family of sparse polynomial systems arising in chemical reaction systems. Zbl 0994.92040
Gatermann, Karin; Huber, Birkett
2002
Semi-invariants, equivariants and algorithms. Zbl 0845.13009
Gatermann, Karin
1996
Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry. Zbl 1075.65074
Gatermann, Karin; Wolfrum, Matthias
2005
Symbolic exploitation of symmetry in numerical pathfollowing. Zbl 0745.65034
Gatermann, Karin; Hohmann, Andreas
1991
Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048
Verschelde, Jan; Gatermann, Karin
1995
Counting stable solutions of sparse polynomial systems in chemistry. Zbl 1009.68198
Gatermann, Karin
2001
Explicit Faber polynomials on circular sectors. Zbl 0751.30003
Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard
1992
Automatic classification of normal forms. Zbl 0947.34023
Gatermann, Karin; Lauterbach, Reiner
1998
Supplement to: Explicit Faber polynomials on circular sectors. Zbl 0751.30004
Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard
1992
The construction of symmetric cubature formulas for the square and the triangle. Zbl 0655.65043
Gatermann, Karin
1988
Computation of bifurcation graphs. Zbl 0810.58026
Gatermann, Karin
1993
Linear representations of finite groups and the ideal theoretical construction of $$G$$-invariant cubature formulas. Zbl 0751.41025
Gatermann, Karin
1992
Group theoretical mode interactions with different symmetries. Zbl 0873.34028
Gatermann, Karin; Werner, Bodo
1994
Computational algebra for bifurcation theory. Zbl 1122.37056
Gatermann, Karin; Hosten, Serkan
2005
Gröbner bases, invariant theory and equivariant dynamics. Zbl 0939.68171
Gatermann, Karin; Guyard, Frédéric
1999
Steady-state mode interactions for $$D_3$$ and $$D_4$$-symmetric systems. Zbl 0928.37009
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin
1999
Gatermann, Karin; Werner, Bodo
1996
A remark on the detection of symmetry of attractors. Zbl 0811.58039
Gatermann, Karin
1994
Applications of SAGBI-bases in dynamics. Zbl 1028.65137
Gatermann, Karin
2003
Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln. (Group theoretic construction of cubature formulas). Zbl 0714.41042
Gatermann, Karin
1990
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
2009
Testing for $$S_ n$$-symmetry with a recursive detective. Zbl 0839.58045
Gatermann, Karin
1996
Mixed symbolic-numeric solution of symmetrical nonlinear systems. Zbl 0925.68247
Gatermann, Karin
1991
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
2009
Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems. Zbl 1120.13033
Gatermann, Karin; Eiswirth, Markus; Sensse, Anke
2005
Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry. Zbl 1075.65074
Gatermann, Karin; Wolfrum, Matthias
2005
Computational algebra for bifurcation theory. Zbl 1122.37056
Gatermann, Karin; Hosten, Serkan
2005
Symmetry groups, semidefinite programs, and sums of squares. Zbl 1108.13021
Gatermann, Karin; Parrilo, Pablo A.
2004
Applications of SAGBI-bases in dynamics. Zbl 1028.65137
Gatermann, Karin
2003
A family of sparse polynomial systems arising in chemical reaction systems. Zbl 0994.92040
Gatermann, Karin; Huber, Birkett
2002
Counting stable solutions of sparse polynomial systems in chemistry. Zbl 1009.68198
Gatermann, Karin
2001
Computer algebra methods for equivariant dynamical systems. Zbl 0944.65131
Gatermann, Karin
2000
Gröbner bases, invariant theory and equivariant dynamics. Zbl 0939.68171
Gatermann, Karin; Guyard, Frédéric
1999
Steady-state mode interactions for $$D_3$$ and $$D_4$$-symmetric systems. Zbl 0928.37009
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin
1999
Automatic classification of normal forms. Zbl 0947.34023
Gatermann, Karin; Lauterbach, Reiner
1998
Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111
Verschelde, J.; Gatermann, K.; Cools, R.
1996
Semi-invariants, equivariants and algorithms. Zbl 0845.13009
Gatermann, Karin
1996
Gatermann, Karin; Werner, Bodo
1996
Testing for $$S_ n$$-symmetry with a recursive detective. Zbl 0839.58045
Gatermann, Karin
1996
Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048
Verschelde, Jan; Gatermann, Karin
1995
Group theoretical mode interactions with different symmetries. Zbl 0873.34028
Gatermann, Karin; Werner, Bodo
1994
A remark on the detection of symmetry of attractors. Zbl 0811.58039
Gatermann, Karin
1994
Computation of bifurcation graphs. Zbl 0810.58026
Gatermann, Karin
1993
Explicit Faber polynomials on circular sectors. Zbl 0751.30003
Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard
1992
Supplement to: Explicit Faber polynomials on circular sectors. Zbl 0751.30004
Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard
1992
Linear representations of finite groups and the ideal theoretical construction of $$G$$-invariant cubature formulas. Zbl 0751.41025
Gatermann, Karin
1992
Symbolic exploitation of symmetry in numerical pathfollowing. Zbl 0745.65034
Gatermann, Karin; Hohmann, Andreas
1991
Mixed symbolic-numeric solution of symmetrical nonlinear systems. Zbl 0925.68247
Gatermann, Karin
1991
Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln. (Group theoretic construction of cubature formulas). Zbl 0714.41042
Gatermann, Karin
1990
The construction of symmetric cubature formulas for the square and the triangle. Zbl 0655.65043
Gatermann, Karin
1988
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### Cited by 321 Authors

 11 Gatermann, Karin 10 Sotirov, Renata 9 de Klerk, Etienne 7 Parrilo, Pablo A. 6 Dickenstein, Alicia M. 6 Sturm, Thomas 5 Conradi, Carsten 5 Laurent, Monique 5 Mincheva, Maya 5 Pasechnik, Dmitrii V. 5 Verschelde, Jan 4 Anjos, Miguel F. 4 Cvitanović, Predrag 4 Manoel, Miriam 3 Ahmadi, Amir Ali 3 Bai, Fengshan 3 Baptistelli, Patrícia H. 3 Dobre, Cristian 3 Ghaddar, Bissan 3 Hubert, Evelyne 3 Jeronimo, Gabriela 3 Johnston, Matthew D. 3 Lasserre, Jean-Bernard 3 Meziat, René J. 3 Murota, Kazuo 3 Shiu, Anne 3 Vera, Juan-Carlos 3 Weber, Andreas Günter 2 Bai, Yanqin 2 Banaji, Murad 2 Bihan, Frédéric 2 Blekherman, Grigoriy 2 Borrero-Echeverry, Daniel 2 Budanur, Nazmi Burak 2 Cafuta, Kristijan 2 Cai, Yunfeng 2 Chinviriyasit, Wirawan 2 Cimprič, Jaka 2 Cools, Ronald 2 Corless, Robert Malcolm 2 de Laat, David 2 de Oliveira Filho, Fernando Mário 2 Dellnitz, Michael 2 Dittrich, Peter 2 Doedel, Eusebius J. 2 Dostert, Maria 2 Dukanovic, Igor 2 Eiswirth, Markus 2 Emiris, Ioannis Z. 2 Fan, Xinghua 2 Fawzi, Hamza 2 Flockerzi, Dietrich 2 Gao, Tangan 2 Giaroli, Magalí 2 Goluskin, David 2 Grigor’ev, Dmitriĭ Yur’evich 2 He, Matthew Xisheng 2 Healey, Timothy J. 2 Heaton, Alexander 2 Herr, Katrin 2 Herrero, María Isabel 2 Hildebrand, Roland 2 Hoşten, Serkan 2 Ikeda, Kiyohiro 2 Kojima, Masakazu 2 Lauterbach, Reiner 2 Li, Tien-Yien 2 Lin, Kuei-Nuan 2 Matera, Guillermo 2 Millán, Mercedes Pérez 2 Moustrou, Philippe 2 Noguchi, Hirohisa 2 Ostrowski, James P. 2 Papanicolopulos, Stefanos-Aldo 2 Patiño, Diego 2 Peter, Stephan 2 Rahkooy, Hamid 2 Raymond, Annie 2 Rehn, Thomas 2 Rendl, Franz 2 Riener, Cordian 2 Rostalski, Philipp 2 Sabia, Juan 2 Saunderson, James 2 Seiler, Werner M. 2 Shankar, Isabelle 2 Siminos, Evangelos 2 Singh, Mohit 2 Steenkamp, Andries 2 Thomas, Rekha R. 2 Tunçel, Levent 2 Vallentin, Frank 2 Van Dam, Edwin Robert 2 Walcher, Sebastian 2 Wohlever, J. C. 2 Zhang, Jun 1 Abdel-Rahman, Essam Othman 1 Abdullayev, Fahreddin G. 1 Akbari, M. A. 1 Albeverio, Sergio A. ...and 221 more Authors
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### Cited in 89 Serials

 21 Mathematical Programming. Series A. Series B 17 Journal of Symbolic Computation 9 SIAM Journal on Optimization 7 Journal of Computational and Applied Mathematics 7 Journal of Pure and Applied Algebra 6 Bulletin of Mathematical Biology 6 Linear Algebra and its Applications 5 Journal of Mathematical Biology 5 Mathematics of Computation 5 Discrete & Computational Geometry 5 SIAM Journal on Applied Algebra and Geometry 4 Computer Methods in Applied Mechanics and Engineering 4 Foundations of Computational Mathematics 3 Computers & Mathematics with Applications 3 Discrete Applied Mathematics 3 Applied Mathematics and Computation 3 Proceedings of the American Mathematical Society 3 Computational Optimization and Applications 3 Journal of Mathematical Chemistry 3 Chaos 3 Mathematics in Computer Science 2 Linear and Multilinear Algebra 2 Chaos, Solitons and Fractals 2 Journal of Algebra 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Physica D 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Experimental Mathematics 2 Optimization Methods & Software 2 Optimization and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Programming Computation 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Annales de l’Institut Fourier 1 Automatica 1 Colloquium Mathematicum 1 Numerical Functional Analysis and Optimization 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 Constructive Approximation 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Algebra and Computation 1 Journal of Global Optimization 1 European Journal of Operational Research 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Robust and Nonlinear Control 1 Integral Transforms and Special Functions 1 The Journal of Fourier Analysis and Applications 1 INFORMS Journal on Computing 1 European Journal of Control 1 Abstract and Applied Analysis 1 Journal of Shanghai University 1 Mathematical and Computer Modelling of Dynamical Systems 1 CEJOR. Central European Journal of Operations Research 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Differential Equations 1 Advances in Geometry 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Complex Systems 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Algebra and its Applications 1 International Journal of Quantum Information 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Optimization Letters 1 Electronic Journal of Statistics 1 Analysis and Mathematical Physics 1 Journal of Theoretical Biology 1 EURO Journal on Computational Optimization 1 Nonlinear Analysis. Theory, Methods & Applications 1 Algebraic Combinatorics
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### Cited in 45 Fields

 77 Operations research, mathematical programming (90-XX) 44 Numerical analysis (65-XX) 37 Biology and other natural sciences (92-XX) 34 Commutative algebra (13-XX) 31 Algebraic geometry (14-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Computer science (68-XX) 26 Ordinary differential equations (34-XX) 22 Combinatorics (05-XX) 21 Field theory and polynomials (12-XX) 14 Convex and discrete geometry (52-XX) 12 Functions of a complex variable (30-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Group theory and generalizations (20-XX) 9 Systems theory; control (93-XX) 8 Real functions (26-XX) 7 Mechanics of deformable solids (74-XX) 6 Partial differential equations (35-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Quantum theory (81-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 Integral transforms, operational calculus (44-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX)