Edit Profile (opens in new tab) Rouillier, Fabrice Co-Author Distance Author ID: rouillier.fabrice Published as: Rouillier, Fabrice; Rouillier, F. Documents Indexed: 47 Publications since 1995, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 42 Co-Authors with 43 Joint Publications 1,075 Co-Co-Authors all top 5 Co-Authors 5 single-authored 10 Pouget, Marc 8 Lazard, Sylvain 7 Bouzidi, Yacine 7 Koseleff, Pierre-Vincent 6 Roy, Marie-Françoise 4 Katsamaki, Christina 4 Safey El Din, Mohab 4 Tsigaridas, Elias P. 3 Falbel, Elisha 3 Faugère, Jean-Charles 3 Moroz, Guillaume 3 Pecker, Daniel 3 Sagraloff, Michael 3 Zafeirakopoulos, Zafeirakis 2 Cazals, Frédéric 2 Cheng, Jinsan 2 Diatta, Daouda Niang 2 Gonzalez-Vega, Laureano 2 Gu, Nong 2 Guilloux, Antonin 2 Lazard, Daniel 2 Mourrain, Bernard 2 Peñaranda, Luis Mariano 2 Tran, Cuong Manh 2 Xiang, Yong 1 Aubry, Philippe 1 Bergeron, Nicolas 1 Corvez, Solen 1 Diatta, Sény 1 Dos Reis, Gabriel 1 Draisma, Jan 1 Kobel, Alexander 1 Ottaviani, Giorgio Maria 1 Quadrat, Alban 1 Revol, Nathalie 1 Ruiz, Joao 1 Schost, Éric 1 Thistlethwaite, Morwen B. 1 Trébuchet, Philippe 1 Trujillo, Guadalupe 1 Xiao, Rong 1 Zimmermann, Paul all top 5 Serials 8 Journal of Symbolic Computation 2 Journal of Complexity 2 Experimental Mathematics 2 Mathematics in Computer Science 1 Geometriae Dedicata 1 Journal of Computational and Applied Mathematics 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 Multidimensional Systems and Signal Processing 1 IEEE Transactions on Signal Processing 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applicable Algebra in Engineering, Communication and Computing 1 Reliable Computing 1 ACM Communications in Computer Algebra all top 5 Fields 24 Computer science (68-XX) 19 Algebraic geometry (14-XX) 15 Numerical analysis (65-XX) 13 Commutative algebra (13-XX) 5 Field theory and polynomials (12-XX) 5 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 566 times in 383 Documents Cited by ▼ Year ▼ Solving zero-dimensional systems through the rational univariate representation. Zbl 0932.12008 Rouillier, Fabrice 121 1999 Efficient isolation of polynomial’s real roots. Zbl 1040.65041 Rouillier, Fabrice; Zimmermann, Paul 66 2004 Solving parametric polynomial systems. Zbl 1156.14044 Lazard, Daniel; Rouillier, Fabrice 55 2007 Motivations for an arbitrary precision interval arithmetic and the MPFI library. Zbl 1078.65543 Revol, Nathalie; Rouillier, Fabrice 38 2005 Finding at least one point in each connected component of a real algebraic set defined by a single equation. Zbl 1009.14010 Rouillier, F.; Roy, M.-F.; Safey El Din, M. 27 2000 Real solving for positive dimensional systems. Zbl 1046.14031 Aubry, Philippe; Rouillier, Fabrice; Safey El Din, Mohab 26 2002 Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity. Zbl 1326.57041 Falbel, E.; Koseleff, P.-V.; Rouillier, F. 19 2015 On the topology of real algebraic plane curves. Zbl 1205.14038 Cheng, Jinsan; Lazard, Sylvain; Peñaranda, Luis; Pouget, Marc; Rouillier, Fabrice 17 2010 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 16 2005 Computing real roots of real polynomials …and now for real! Zbl 1365.65142 Kobel, Alexander; Rouillier, Fabrice; Sagraloff, Michael 16 2016 Symbolic recipes for real solutions. Zbl 0994.12003 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe 14 1999 Solving bivariate systems using rational univariate representations. Zbl 1351.65033 Bouzidi, Yacine; Lazard, Sylvain; Moroz, Guillaume; Pouget, Marc; Rouillier, Fabrice; Sagraloff, Michael 14 2016 Symbolic recipes for polynomial system solving. Zbl 0966.13020 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise 13 1999 Character varieties for \(SL(3, \mathbb{C})\): the figure eight knot. Zbl 1353.57007 Falbel, E.; Guilloux, A.; Koseleff, P.-V.; Rouillier, F.; Thistlethwaite, M. 12 2016 Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities. Zbl 1487.68235 Faugère, Jean-Charles; Moroz, Guillaume; Rouillier, Fabrice; El Din, Mohab Safey 11 2008 Using computer algebra tools to classify serial manipulators. Zbl 1202.68489 Corvez, Solen; Rouillier, Fabrice 10 2004 On the topology of planar algebraic curves. Zbl 1391.14060 Cheng, Jinsan; Lazard, Sylvain; Peñaranda, Luis; Pouget, Marc; Rouillier, Fabrice; Tsigaridas, Elias 10 2009 Separating linear forms and rational univariate representations of bivariate systems. Zbl 1328.13041 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 9 2015 Rational univariate representations of bivariate systems and applications. Zbl 1360.68922 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 8 2013 Local rigidity for \(\mathrm{PGL}(3,\mathbb C)\)-representations of 3-manifold groups. Zbl 1297.57047 Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin; Koseleff, Pierre-Vincent; Rouillier, Fabrice 8 2013 On solving systems of bivariate polynomials. Zbl 1274.65156 Rouillier, Fabrice 6 2010 Bounds for polynomials on algebraic numbers and application to curve topology. Zbl 1486.14074 Diatta, Daouda Niang; Diatta, Sény; Rouillier, Fabrice; Roy, Marie-Françoise; Sagraloff, Michael 6 2022 The first rational Chebyshev knots. Zbl 1202.57007 Koseleff, P.-V.; Pecker, D.; Rouillier, F. 5 2010 Certified non-conservative tests for the structural stability of discrete multidimensional systems. Zbl 1430.93179 Bouzidi, Yacine; Quadrat, Alban; Rouillier, Fabrice 5 2019 Solving the Birkhoff interpolation problem via the critical point method: An experimental study. Zbl 0985.68079 Rouillier, Fabrice; Safey El Din, Mohab; Schost, Éric 4 2001 The implicit structure of ridges of a smooth parametric surface. Zbl 1112.65013 Cazals, Frédéric; Faugère, Jean-Charles; Pouget, Marc; Rouillier, Fabrice 4 2006 Improved algorithm for computing separating linear forms for bivariate systems. Zbl 1325.68267 Bouzidi, Yacine; Lazard, Sylvain; Moroz, Guillaume; Pouget, Marc; Rouillier, Fabrice 4 2014 On the computation of the topology of plane curves. Zbl 1325.68273 Diatta, Daouda Niang; Rouillier, Fabrice; Roy, Marie-Françoise 4 2014 Separating linear forms for bivariate systems. Zbl 1360.68923 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 3 2013 Ridges and umbilics of polynomial parametric surfaces. Zbl 1167.53004 Cazals, Frédéric; Faugère, Jean-Charles; Pouget, Marc; Rouillier, Fabrice 2 2008 An environment for symbolic and numeric computation. Zbl 1057.68140 Dos Reis, G.; Mourrain, B.; Trébuchet, Ph.; Rouillier, F. 2 2002 Bivariate triangular decompositions in the presence of asymptotes. Zbl 1357.13031 Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 2 2017 On the geometry and the topology of parametric curves. Zbl 1483.68502 Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis 2 2020 Using computer algebra to certify the global convergence of a numerical optimization process. Zbl 1134.94314 Gu, Nong; Lazard, Daniel; Rouillier, Fabrice; Xiang, Yong 1 2007 On using triangular decomposition for solving parametric polynomial systems. Zbl 1184.68656 Rouillier, Fabrice; Xiao, Rong 1 2009 Real root counting for some robotics problems. Zbl 0900.70069 Rouillier, Fabrice 1 1995 Computing Chebyshev knot diagrams. Zbl 1383.57010 Koseleff, P.-V.; Pecker, D.; Rouillier, F.; Tran, C. 1 2018 Efficient algorithms based on critical points method. Zbl 1052.14068 Rouillier, Fabrice 1 2003 On the sign of a trigonometric expression. Zbl 1345.68289 Koseleff, Pierre-Vincent; Rouillier, Fabrice; Tran, Cuong 1 2015 PTOPO: a Maple package for the topology of parametric curves. Zbl 1499.14004 Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis 1 2020 Bounds for polynomials on algebraic numbers and application to curve topology. Zbl 1486.14074 Diatta, Daouda Niang; Diatta, Sény; Rouillier, Fabrice; Roy, Marie-Françoise; Sagraloff, Michael 6 2022 On the geometry and the topology of parametric curves. Zbl 1483.68502 Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis 2 2020 PTOPO: a Maple package for the topology of parametric curves. Zbl 1499.14004 Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis 1 2020 Certified non-conservative tests for the structural stability of discrete multidimensional systems. Zbl 1430.93179 Bouzidi, Yacine; Quadrat, Alban; Rouillier, Fabrice 5 2019 Computing Chebyshev knot diagrams. Zbl 1383.57010 Koseleff, P.-V.; Pecker, D.; Rouillier, F.; Tran, C. 1 2018 Bivariate triangular decompositions in the presence of asymptotes. Zbl 1357.13031 Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 2 2017 Computing real roots of real polynomials …and now for real! Zbl 1365.65142 Kobel, Alexander; Rouillier, Fabrice; Sagraloff, Michael 16 2016 Solving bivariate systems using rational univariate representations. Zbl 1351.65033 Bouzidi, Yacine; Lazard, Sylvain; Moroz, Guillaume; Pouget, Marc; Rouillier, Fabrice; Sagraloff, Michael 14 2016 Character varieties for \(SL(3, \mathbb{C})\): the figure eight knot. Zbl 1353.57007 Falbel, E.; Guilloux, A.; Koseleff, P.-V.; Rouillier, F.; Thistlethwaite, M. 12 2016 Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity. Zbl 1326.57041 Falbel, E.; Koseleff, P.-V.; Rouillier, F. 19 2015 Separating linear forms and rational univariate representations of bivariate systems. Zbl 1328.13041 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 9 2015 On the sign of a trigonometric expression. Zbl 1345.68289 Koseleff, Pierre-Vincent; Rouillier, Fabrice; Tran, Cuong 1 2015 Improved algorithm for computing separating linear forms for bivariate systems. Zbl 1325.68267 Bouzidi, Yacine; Lazard, Sylvain; Moroz, Guillaume; Pouget, Marc; Rouillier, Fabrice 4 2014 On the computation of the topology of plane curves. Zbl 1325.68273 Diatta, Daouda Niang; Rouillier, Fabrice; Roy, Marie-Françoise 4 2014 Rational univariate representations of bivariate systems and applications. Zbl 1360.68922 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 8 2013 Local rigidity for \(\mathrm{PGL}(3,\mathbb C)\)-representations of 3-manifold groups. Zbl 1297.57047 Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin; Koseleff, Pierre-Vincent; Rouillier, Fabrice 8 2013 Separating linear forms for bivariate systems. Zbl 1360.68923 Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice 3 2013 On the topology of real algebraic plane curves. Zbl 1205.14038 Cheng, Jinsan; Lazard, Sylvain; Peñaranda, Luis; Pouget, Marc; Rouillier, Fabrice 17 2010 On solving systems of bivariate polynomials. Zbl 1274.65156 Rouillier, Fabrice 6 2010 The first rational Chebyshev knots. Zbl 1202.57007 Koseleff, P.-V.; Pecker, D.; Rouillier, F. 5 2010 On the topology of planar algebraic curves. Zbl 1391.14060 Cheng, Jinsan; Lazard, Sylvain; Peñaranda, Luis; Pouget, Marc; Rouillier, Fabrice; Tsigaridas, Elias 10 2009 On using triangular decomposition for solving parametric polynomial systems. Zbl 1184.68656 Rouillier, Fabrice; Xiao, Rong 1 2009 Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities. Zbl 1487.68235 Faugère, Jean-Charles; Moroz, Guillaume; Rouillier, Fabrice; El Din, Mohab Safey 11 2008 Ridges and umbilics of polynomial parametric surfaces. Zbl 1167.53004 Cazals, Frédéric; Faugère, Jean-Charles; Pouget, Marc; Rouillier, Fabrice 2 2008 Solving parametric polynomial systems. Zbl 1156.14044 Lazard, Daniel; Rouillier, Fabrice 55 2007 Using computer algebra to certify the global convergence of a numerical optimization process. Zbl 1134.94314 Gu, Nong; Lazard, Daniel; Rouillier, Fabrice; Xiang, Yong 1 2007 The implicit structure of ridges of a smooth parametric surface. Zbl 1112.65013 Cazals, Frédéric; Faugère, Jean-Charles; Pouget, Marc; Rouillier, Fabrice 4 2006 Motivations for an arbitrary precision interval arithmetic and the MPFI library. Zbl 1078.65543 Revol, Nathalie; Rouillier, Fabrice 38 2005 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 16 2005 Efficient isolation of polynomial’s real roots. Zbl 1040.65041 Rouillier, Fabrice; Zimmermann, Paul 66 2004 Using computer algebra tools to classify serial manipulators. Zbl 1202.68489 Corvez, Solen; Rouillier, Fabrice 10 2004 Efficient algorithms based on critical points method. Zbl 1052.14068 Rouillier, Fabrice 1 2003 Real solving for positive dimensional systems. Zbl 1046.14031 Aubry, Philippe; Rouillier, Fabrice; Safey El Din, Mohab 26 2002 An environment for symbolic and numeric computation. Zbl 1057.68140 Dos Reis, G.; Mourrain, B.; Trébuchet, Ph.; Rouillier, F. 2 2002 Solving the Birkhoff interpolation problem via the critical point method: An experimental study. Zbl 0985.68079 Rouillier, Fabrice; Safey El Din, Mohab; Schost, Éric 4 2001 Finding at least one point in each connected component of a real algebraic set defined by a single equation. Zbl 1009.14010 Rouillier, F.; Roy, M.-F.; Safey El Din, M. 27 2000 Solving zero-dimensional systems through the rational univariate representation. Zbl 0932.12008 Rouillier, Fabrice 121 1999 Symbolic recipes for real solutions. Zbl 0994.12003 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe 14 1999 Symbolic recipes for polynomial system solving. Zbl 0966.13020 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise 13 1999 Real root counting for some robotics problems. Zbl 0900.70069 Rouillier, Fabrice 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 517 Authors 19 Safey El Din, Mohab 18 Rouillier, Fabrice 16 Schost, Éric 16 Tsigaridas, Elias P. 14 Sagraloff, Michael 10 Cheng, Jinsan 10 Xia, Bican 9 Mourrain, Bernard 8 Falbel, Elisha 8 Guilloux, Antonin 8 Lazard, Sylvain 8 Niu, Wei 8 Wu, Wenyuan 7 Díaz-Toca, Gema María 7 Hauenstein, Jonathan D. 7 Koseleff, Pierre-Vincent 7 Pouget, Marc 6 Chen, Changbo 6 Huang, Bo 6 Lazard, Daniel 6 Moroz, Guillaume 5 Bouzidi, Yacine 5 Emiris, Ioannis Z. 5 Giusti, Marc 5 Gonzalez-Vega, Laureano 5 Jin, Kai 5 Lichtblau, Daniel A. 5 Naldi, Simone 5 Roy, Marie-Françoise 5 Sottile, Frank 5 Wang, Dongming 5 Zickert, Christian K. 4 Alcazar, Juan Gerardo 4 Bank, Bernd 4 Caravantes, Jorge 4 Chistov, Alexandre L. 4 Feng, Yong 4 Gao, Xiaoshan 4 Heintz, Joos 4 Henrion, Didier 4 Imbach, Rémi 4 Matera, Guillermo 4 Mehlhorn, Kurt 4 Mora, Teo 4 Pan, Victor Yakovlevich 4 Pecker, Daniel 4 Szántó, Ágnes 4 Wang, Dingkang 4 Zhi, Lihong 3 Boussaada, Islam 3 Burr, Michael A. 3 Cluzeau, Thomas 3 Cordero, Alicia 3 Faugère, Jean-Charles 3 Görner, Matthias 3 Jeronimo, Gabriela 3 Kerber, Michael 3 Krandick, Werner 3 Lai, Yisheng 3 Laurent, Monique 3 Moreno Maza, Marc 3 Mou, Chenqi 3 Niculescu, Silviu-Iulian 3 Pardo, Luis Miguel 3 Perrucci, Daniel 3 Platt, David John 3 Possieri, Corrado 3 Poteaux, Adrien 3 Rieck, Michael Q. 3 Rostalski, Philipp 3 Sadeghimanesh, AmirHosein 3 Salvy, Bruno 3 Torregrosa Sanchez, Juan Ramón 3 Vu, Thi Xuan 3 Wang, Renhong 3 Xiao, ShuiJing 3 Yap, Chee-Keng 3 Zeng, Guangxing 2 Acosta, Miguel 2 Alberti, Lionel F. 2 Aubry, Philippe 2 Bachelier, Olivier 2 Basu, Saugata 2 Bates, Daniel J. 2 Becker, Ruben 2 Bergeron, Nicolas 2 Botana, Francisco 2 Cafure, Antonio 2 Ceria, Michela 2 Collins, George E. 2 Cox, David A. 2 Dahan, Xavier 2 Dai, Liyun 2 de Oliveira Filho, Fernando Mário 2 Deraux, Martin 2 Dutertre, Nicolas 2 Eigenwillig, Arno 2 El Kahoui, M’hammed 2 Farjudian, Amin 2 Feliu, Elisenda ...and 417 more Authors all top 5 Cited in 104 Serials 90 Journal of Symbolic Computation 17 Computer Aided Geometric Design 14 Journal of Systems Science and Complexity 13 Theoretical Computer Science 12 Journal of Complexity 11 Mathematics in Computer Science 10 Journal of Computational and Applied Mathematics 8 Applicable Algebra in Engineering, Communication and Computing 8 Experimental Mathematics 7 Mathematics of Computation 7 Discrete & Computational Geometry 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 6 Journal of Mathematical Sciences (New York) 5 Geometriae Dedicata 5 Foundations of Computational Mathematics 4 Bulletin of Mathematical Biology 4 Mathematische Zeitschrift 4 Computational Geometry 4 Geometry & Topology 4 Algebraic & Geometric Topology 3 Journal of Pure and Applied Algebra 3 Multidimensional Systems and Signal Processing 3 Journal of Knot Theory and its Ramifications 3 Journal of Mathematical Imaging and Vision 3 Journal of Algebra and its Applications 2 Nonlinearity 2 Automatica 2 Computing 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 MSCS. Mathematical Structures in Computer Science 2 Journal of Global Optimization 2 SIAM Journal on Optimization 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Reliable Computing 2 SIAM Journal on Applied Dynamical Systems 2 Science China. Mathematics 2 SIAM Journal on Applied Algebra and Geometry 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Number Theory 1 Kybernetika 1 Le Matematiche 1 Michigan Mathematical Journal 1 Programming and Computer Software 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Graphs and Combinatorics 1 Algorithmica 1 Journal of Automated Reasoning 1 Journal of the American Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Designs, Codes and Cryptography 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 Computational Complexity 1 Computational Optimization and Applications 1 Journal de Théorie des Nombres de Bordeaux 1 Economic Theory 1 Finite Fields and their Applications 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mechanism and Machine Theory 1 Discrete Dynamics in Nature and Society 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 Journal of Intelligent and Fuzzy Systems 1 Acta Numerica 1 Journal of Zhejiang University. Science A 1 Journal of Mathematical Cryptology 1 Discrete and Continuous Dynamical Systems. Series S 1 ACM Communications in Computer Algebra 1 São Paulo Journal of Mathematical Sciences 1 Physical Review A, Third Series 1 Science China. Information Sciences ...and 4 more Serials all top 5 Cited in 44 Fields 159 Computer science (68-XX) 127 Numerical analysis (65-XX) 120 Algebraic geometry (14-XX) 98 Commutative algebra (13-XX) 42 Field theory and polynomials (12-XX) 31 Manifolds and cell complexes (57-XX) 24 Number theory (11-XX) 22 Real functions (26-XX) 21 Operations research, mathematical programming (90-XX) 17 Systems theory; control (93-XX) 15 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 11 Ordinary differential equations (34-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Combinatorics (05-XX) 8 Geometry (51-XX) 8 Mechanics of particles and systems (70-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 6 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 5 Group theory and generalizations (20-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year