Edit Profile (opens in new tab) Gatermann, Karin Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1108.13021Gatermann, Karin; Parrilo, Pablo A. 91 2004 Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems. Zbl 1120.13033Gatermann, Karin; Eiswirth, Markus; Sensse, Anke 21 2005 Computer algebra methods for equivariant dynamical systems. Zbl 0944.65131Gatermann, Karin 20 2000 Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111Verschelde, J.; Gatermann, K.; Cools, R. 20 1996 A family of sparse polynomial systems arising in chemical reaction systems. Zbl 0994.92040Gatermann, Karin; Huber, Birkett 16 2002 Semi-invariants, equivariants and algorithms. Zbl 0845.13009Gatermann, Karin 13 1996 Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry. Zbl 1075.65074Gatermann, Karin; Wolfrum, Matthias 13 2005 Symbolic exploitation of symmetry in numerical pathfollowing. Zbl 0745.65034Gatermann, Karin; Hohmann, Andreas 9 1991 Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048Verschelde, Jan; Gatermann, Karin 9 1995 Counting stable solutions of sparse polynomial systems in chemistry. Zbl 1009.68198Gatermann, Karin 8 2001 Explicit Faber polynomials on circular sectors. Zbl 0751.30003Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard 7 1992 Automatic classification of normal forms. Zbl 0947.34023Gatermann, Karin; Lauterbach, Reiner 5 1998 Supplement to: Explicit Faber polynomials on circular sectors. Zbl 0751.30004Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard 5 1992 The construction of symmetric cubature formulas for the square and the triangle. Zbl 0655.65043Gatermann, Karin 4 1988 Computation of bifurcation graphs. Zbl 0810.58026Gatermann, Karin 4 1993 Linear representations of finite groups and the ideal theoretical construction of \(G\)-invariant cubature formulas. Zbl 0751.41025Gatermann, Karin 3 1992 Group theoretical mode interactions with different symmetries. Zbl 0873.34028Gatermann, Karin; Werner, Bodo 3 1994 Computational algebra for bifurcation theory. Zbl 1122.37056Gatermann, Karin; Hosten, Serkan 3 2005 Gröbner bases, invariant theory and equivariant dynamics. Zbl 0939.68171Gatermann, Karin; Guyard, Frédéric 2 1999 Steady-state mode interactions for \(D_3\) and \(D_4\)-symmetric systems. Zbl 0928.37009Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin 2 1999 Secondary Hopf bifurcation caused by steady-state steady-state mode interaction. Zbl 0849.58014Gatermann, Karin; Werner, Bodo 2 1996 A remark on the detection of symmetry of attractors. Zbl 0811.58039Gatermann, Karin 2 1994 Applications of SAGBI-bases in dynamics. Zbl 1028.65137Gatermann, Karin 2 2003 Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln. (Group theoretic construction of cubature formulas). Zbl 0714.41042Gatermann, Karin 1 1990 Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S. 1 2009 Testing for \(S_ n\)-symmetry with a recursive detective. Zbl 0839.58045Gatermann, Karin 1 1996 Mixed symbolic-numeric solution of symmetrical nonlinear systems. Zbl 0925.68247Gatermann, Karin 1 1991 Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S. 1 2009 Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems. Zbl 1120.13033Gatermann, Karin; Eiswirth, Markus; Sensse, Anke 21 2005 Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry. Zbl 1075.65074Gatermann, Karin; Wolfrum, Matthias 13 2005 Computational algebra for bifurcation theory. Zbl 1122.37056Gatermann, Karin; Hosten, Serkan 3 2005 Symmetry groups, semidefinite programs, and sums of squares. Zbl 1108.13021Gatermann, Karin; Parrilo, Pablo A. 91 2004 Applications of SAGBI-bases in dynamics. Zbl 1028.65137Gatermann, Karin 2 2003 A family of sparse polynomial systems arising in chemical reaction systems. Zbl 0994.92040Gatermann, Karin; Huber, Birkett 16 2002 Counting stable solutions of sparse polynomial systems in chemistry. Zbl 1009.68198Gatermann, Karin 8 2001 Computer algebra methods for equivariant dynamical systems. Zbl 0944.65131Gatermann, Karin 20 2000 Gröbner bases, invariant theory and equivariant dynamics. Zbl 0939.68171Gatermann, Karin; Guyard, Frédéric 2 1999 Steady-state mode interactions for \(D_3\) and \(D_4\)-symmetric systems. Zbl 0928.37009Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin 2 1999 Automatic classification of normal forms. Zbl 0947.34023Gatermann, Karin; Lauterbach, Reiner 5 1998 Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111Verschelde, J.; Gatermann, K.; Cools, R. 20 1996 Semi-invariants, equivariants and algorithms. Zbl 0845.13009Gatermann, Karin 13 1996 Secondary Hopf bifurcation caused by steady-state steady-state mode interaction. Zbl 0849.58014Gatermann, Karin; Werner, Bodo 2 1996 Testing for \(S_ n\)-symmetry with a recursive detective. Zbl 0839.58045Gatermann, Karin 1 1996 Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048Verschelde, Jan; Gatermann, Karin 9 1995 Group theoretical mode interactions with different symmetries. Zbl 0873.34028Gatermann, Karin; Werner, Bodo 3 1994 A remark on the detection of symmetry of attractors. Zbl 0811.58039Gatermann, Karin 2 1994 Computation of bifurcation graphs. Zbl 0810.58026Gatermann, Karin 4 1993 Explicit Faber polynomials on circular sectors. Zbl 0751.30003Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard 7 1992 Supplement to: Explicit Faber polynomials on circular sectors. Zbl 0751.30004Gatermann, Karin; Hoffmann, Christoph; Opfer, Gerhard 5 1992 Linear representations of finite groups and the ideal theoretical construction of \(G\)-invariant cubature formulas. Zbl 0751.41025Gatermann, Karin 3 1992 Symbolic exploitation of symmetry in numerical pathfollowing. Zbl 0745.65034Gatermann, Karin; Hohmann, Andreas 9 1991 Mixed symbolic-numeric solution of symmetrical nonlinear systems. Zbl 0925.68247Gatermann, Karin 1 1991 Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln. (Group theoretic construction of cubature formulas). Zbl 0714.41042Gatermann, Karin 1 1990 The construction of symmetric cubature formulas for the square and the triangle. Zbl 0655.65043Gatermann, Karin 4 1988 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year