Edit Profile (opens in new tab) Mourrain, Bernard Co-Author Distance Author ID: mourrain.bernard Published as: Mourrain, Bernard; Mourrain, B. Documents Indexed: 160 Publications since 1991, including 1 Book and 6 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 145 Co-Authors with 150 Joint Publications 4,352 Co-Co-Authors all top 5 Co-Authors 14 single-authored 13 Trébuchet, Philippe 11 Mantzaflaris, Angelos 11 Xu, Gang 9 Elkadi, Mohamed 9 Galligo, André 9 Pan, Victor Yakovlevich 8 Tsigaridas, Elias P. 7 Busé, Laurent 7 Khalil, Houssam 7 Szántó, Ágnes 6 Comon, Pierre 6 Villamizar, Nelly 5 Abril Bucero, Marta 5 Bernardi, Alessandra 5 Brachat, Jerome 5 Emiris, Ioannis Z. 5 Ruatta, Olivier 5 Técourt, Jean-Pierre 4 Alberti, Lionel F. 4 Baldi, Lorenzo 4 Nkonga, Boniface 4 Vrahatis, Michael N. 4 Wang, Wenping 4 Wintz, Julien 4 Wu, Meng 4 Yakoubsohn, Jean-Claude 3 Devillers, Olivier 3 Diatta, Daouda Niang 3 Duvigneau, Régis 3 Hauenstein, Jonathan D. 3 Jia, Xiaohong 3 Khouja, Rima 3 Pavone, Jean-Pascal 3 Rabczuk, Timon 3 Schatzman, Michelle 3 Solé, Patrick 3 Teillaud, Monique 3 Tu, Changhe 2 Adamou, Ibrahim 2 Blidia, Ahmed 2 Bondyfalat, Didier 2 Bonnecaze, Alexis 2 Chèze, Guillaume 2 Choi, Yi-King 2 Fronville, Alexandra 2 Harmouch, Jouhayna 2 Lasserre, Jean-Bernard 2 Laurent, Monique 2 Marsala, Michelangelo 2 Pavlidis, Nicos G. 2 Rónyai, Lajos 2 Rouillier, Fabrice 2 Stolfi, Noëlle 2 Tasoulis, Dimitris K. 2 Telen, Simon 2 Van Barel, Marc 2 van der Hoeven, Joris 2 Xu, Jinlan 1 Aries, Franck 1 Arrondo, Enrique 1 Bachoc, Christine 1 Bajaj, Chandrajit L. 1 Berdinskiĭ, Dmitriĭ Aleksandrovich 1 Berthomieu, Jérémy 1 Boissonnat, Jean-Daniel 1 Bordas, Stéphane Pierre Alain 1 Bracco, Cesare 1 Cardinal, Jean-Paul 1 Chen, Long 1 Cheng, Changzheng 1 Cho, Durkbin 1 Choie, YoungJu 1 Christoforou, Emmanouil 1 Cohen-Steiner, David 1 Daleo, Noah S. 1 Deng, Chongyang 1 Dickenstein, Alicia M. 1 Dong, Zhenyu 1 Dos Reis, Gabriel 1 Elias, Joan 1 Fioravanti, Mario A. 1 Fournier, Robert 1 Gatellier, G. 1 Golub, Gene Howard 1 Gonzalez-Vega, Laureano 1 Grellier, Olivier 1 Herrero, María Isabel 1 Hodorog, Mădălina 1 Homs Pons, Roser 1 Hughes, Thomas J. R. 1 Hui, Kinchuen 1 Janovitz-Freirech, Itnuit 1 Janovitz-Freireich, Itnuit 1 Jin, Yaoli 1 Josz, Cédric 1 Kajler, Norbert 1 Kiatpanichgij, Sutipong 1 Kim, Taewan 1 Krick, Teresa 1 Labrouzy, A. ...and 45 more Co-Authors all top 5 Serials 21 Journal of Symbolic Computation 11 Computer Aided Geometric Design 8 Linear Algebra and its Applications 5 Theoretical Computer Science 4 Journal of Pure and Applied Algebra 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Journal of Complexity 2 Mathematics of Computation 2 Calcolo 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Computational Geometry 2 Advances in Computational Mathematics 2 Mathematics in Computer Science 2 ACM Communications in Computer Algebra 1 Computers & Mathematics with Applications 1 IEEE Transactions on Information Theory 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Computing 1 Discrete & Computational Geometry 1 Computational Mechanics 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 Differential Geometry and its Applications 1 Designs, Codes and Cryptography 1 Mathematical Programming. Series A. Series B 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Combinatorics 1 Analele Universității din Timișoara. Seria Matematică-Informatică 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Computer Science 1 Mathématiques & Applications (Berlin) 1 Communications in Computational Physics 1 Confluentes Mathematici 1 Mathematics and Visualization all top 5 Fields 90 Numerical analysis (65-XX) 66 Computer science (68-XX) 42 Commutative algebra (13-XX) 42 Algebraic geometry (14-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 20 Field theory and polynomials (12-XX) 11 Approximations and expansions (41-XX) 9 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Information and communication theory, circuits (94-XX) 5 Associative rings and algebras (16-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 1,739 times in 1,065 Documents Cited by ▼ Year ▼ Symmetric tensors and symmetric tensor rank. Zbl 1181.15014 Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard 193 2008 Parameterization of computational domain in isogeometric analysis: methods and comparison. Zbl 1228.65232 Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André 102 2011 Symmetric tensor decomposition. Zbl 1206.65141 Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias 89 2010 Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. Zbl 1349.65079 Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André 64 2013 Decomposition of quantics in sums of powers of linear forms. Zbl 0875.94079 Comon, P.; Mourrain, B. 53 1996 A new criterion for normal form algorithms. Zbl 0976.12005 Mourrain, B. 52 1999 Type II codes over \(\mathbb{Z}_4\). Zbl 0898.94009 Bonnecaze, Alexis; Solé, Patrick; Bachoc, Christine; Mourrain, Bernard 48 1997 Matrices in elimination theory. Zbl 0943.13005 Emiris, Ioannis Z.; Mourrain, Bernard 39 1999 Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232 Mourrain, Bernard; Pan, Victor Y. 36 2000 Subdivision methods for solving polynomial equations. Zbl 1158.13010 Mourrain, B.; Pavone, J. P. 35 2009 Isolated points, duality and residues. Zbl 0896.13020 Mourrain, B. 35 1997 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200 Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 35 2018 Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) Zbl 1127.13001 Elkadi, Mohamed; Mourrain, Bernard 30 2007 Generalized normal forms and polynomial system solving. Zbl 1360.68947 Mourrain, Bernard; Trebuchet, Philippe 29 2005 Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010 Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly 29 2016 On the dimension of spline spaces on planar T-meshes. Zbl 1360.65052 Mourrain, Bernard 25 2014 High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020 Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon 22 2014 General tensor decomposition, moment matrices and applications. Zbl 1275.15017 Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B. 22 2013 Computing the isolated roots by matrix methods. Zbl 0934.68136 Mourrain, B. 20 1998 Resultant-based methods for plane curves intersection problems. Zbl 1169.65316 Busé, Laurent; Khalil, Houssam; Mourrain, Bernard 20 2005 On the complexity of isolating real roots and computing with certainty the topological degree. Zbl 1008.65022 Mourrain, B.; Vrahatis, M. N.; Yakoubsohn, J. C. 20 2002 Generalized resultants over unirational algebraic varieties. Zbl 0983.14039 Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard 19 2000 The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 19 2010 Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343 Alberti, L.; Mourrain, B.; Wintz, J. 18 2008 A generalized flat extension theorem for moment matrices. Zbl 1183.30030 Laurent, Monique; Mourrain, Bernard 18 2009 On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046 Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier 18 2008 A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034 Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard 18 2014 Deflation and certified isolation of singular zeros of polynomial systems. Zbl 1323.65054 Mantzaflaris, Angelos; Mourrain, Bernard 18 2011 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 16 2005 Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 16 2008 On the computation of an arrangement of quadrics in 3D. Zbl 1063.65018 Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique 16 2005 \(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012 Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly 16 2017 Computing the topology of three-dimensional algebraic curves. Zbl 1077.14089 Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P. 14 2005 Stable normal forms for polynomial system solving. Zbl 1159.68045 Mourrain, Bernard; Trébuchet, Philippe 13 2008 Algebraic approach of residues and applications. Zbl 0857.13026 Cardinal, J. P.; Mourrain, B. 13 1996 Explicit factors of some iterated resultants and discriminants. Zbl 1200.13042 Busé, Laurent; Mourrain, Bernard 13 2009 Moment matrices, border bases and real radical computation. Zbl 1276.13021 Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe 13 2013 Hermite type spline spaces over rectangular meshes with complex topological structures. Zbl 1490.65018 Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface 12 2017 Polynomial-exponential decomposition from moments. Zbl 1427.14119 Mourrain, Bernard 12 2018 Pythagore’s dilemma, symbolic-numeric computation, and the border basis method. Zbl 1117.65076 Mourrain, Bernard 11 2007 Isotopic triangulation of a real algebraic surface. Zbl 1173.14344 Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre 11 2009 Dimensions and bases of hierarchical tensor-product splines. Zbl 1292.65009 Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong 11 2014 On deflation and multiplicity structure. Zbl 1387.13063 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2017 Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2015 Subdivision methods for the topology of 2d and 3d implicit curves. Zbl 1132.14335 Liang, Chen; Mourrain, Bernard; Pavone, Jean-Pascal 10 2008 Solving special polynomial systems by using structured matrices and algebraic residues. Zbl 0922.65044 Mourrain, Bernard; Pan, Victor Y. 10 1997 Tensor decomposition and homotopy continuation. Zbl 1377.65057 Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard 10 2017 Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015 Blidia, Ahmed; Mourrain, Bernard; Xu, Gang 10 2020 Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 1505.65105 Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica 10 2020 Using signature sequences to classify intersection curves of two quadrics. Zbl 1205.68473 Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye 9 2009 On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Zbl 1243.12005 Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias 9 2011 An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020 Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping 9 2011 Homological techniques for the analysis of the dimension of triangular spline spaces. Zbl 1370.41020 Mourrain, Bernard; Villamizar, Nelly 9 2013 Solving projective complete intersection faster. Zbl 1326.68363 Mourrain, Bernard; Trebuchet, Philippe 8 2000 Jacobi polynomials, type II codes, and designs. Zbl 1049.94018 Bonnecaze, Alexis; Mourrain, Bernard; Solé, Patrick 8 1999 Resultant over the residual of a complete intersection. Zbl 1075.14525 Busé, L.; Elkadi, M.; Mourrain, B. 8 2001 Using projection operators in computer aided geometric design. Zbl 1036.14500 Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard 8 2003 Meshing implicit algebraic surfaces: the smooth case. Zbl 1080.65514 Alberti, L.; Comte, G.; Mourrain, B. 8 2005 Solving polynomial systems via truncated normal forms. Zbl 1401.65054 Telen, Simon; Mourrain, Bernard; Barel, Marc Van 8 2018 Meshing of surfaces. Zbl 1116.65020 Boissonnat, Jean-Daniel; Cohen-Steiner, David; Mourrain, Bernard; Rote, Günter; Vegter, Gert 7 2007 On the isotopic meshing of an algebraic implicit surface. Zbl 1237.14069 Diatta, Daouda Niang; Mourrain, Bernard; Ruatta, Olivier 7 2012 Bezoutian and quotient ring structure. Zbl 1120.13035 Mourrain, B. 7 2005 Algorithms for residues and Łojasiewicz exponents. Zbl 0974.13021 Elkadi, M.; Mourrain, B. 7 2000 Computation of a specified root of a polynomial system of equations using eigenvectors. Zbl 0973.65038 Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y. 7 2000 Residue and implicitization problem for rational surfaces. Zbl 1058.14073 Elkadi, Mohamed; Mourrain, Bernard 7 2004 Enumeration problems in geometry, robotics and vision. Zbl 0915.14031 Mourrain, B. 7 1996 Extensors and the Hilbert scheme. Zbl 1342.14008 Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita 7 2016 Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216 Mourrain, Bernard; Pan, Victor Y. 7 1998 Border basis relaxation for polynomial optimization. Zbl 1346.90655 Abril Bucero, Marta; Mourrain, Bernard 7 2016 On the effective Putinar’s Positivstellensatz and moment approximation. Zbl 1518.14080 Baldi, Lorenzo; Mourrain, Bernard 7 2023 Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1016.68142 Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique 6 2002 Circular cylinders through four or five points in space. Zbl 1031.52008 Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe 6 2003 Border basis representation of a general quotient algebra. Zbl 1323.68618 Mourrain, Bernard; Trébuchet, Philippe 6 2012 Curve/surface intersection problem by means of matrix representations. Zbl 1356.65060 Luu Ba Thang; Busé, Laurent; Mourrain, Bernard 6 2009 Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017 Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard 6 2011 Efficient construction of multi-block volumetric spline parameterization by discrete mask method. Zbl 1321.65028 Xu, Gang; Mourrain, Bernard; Wu, Xiangyang; Chen, Long; Hui, Kin-chuen 6 2015 Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. Zbl 1336.68309 Jia, Xiaohong; Wang, Wenping; Choi, Yi-King; Mourrain, Bernard; Tu, Changhe 6 2016 Relations between roots and coefficients, interpolation and application to system solving. Zbl 1022.13007 Mourrain, Bernard; Ruatta, Olivier 6 2002 On minimal decompositions of low rank symmetric tensors. Zbl 1460.13049 Mourrain, Bernard; Oneto, Alessandro 6 2020 \(H^1\)-parametrizations of complex planar physical domains in isogeometric analysis. Zbl 1439.65198 Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface 6 2017 A subdivision method for computing nearest gcd with certification. Zbl 1221.68297 Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude 5 2011 Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342 Alberti, Lionel; Mourrain, Bernard 5 2007 Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Zbl 1366.65098 Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng 5 2017 Bounds on the dimension of trivariate spline spaces: a homological approach. Zbl 1317.13035 Mourrain, Bernard; Villamizar, Nelly 5 2014 Separation bounds for polynomial systems. Zbl 1446.68202 Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias 5 2020 Rankin-Cohen brackets and invariant theory. Zbl 1039.11024 Choie, Y.; Mourrain, B.; Solé, P. 4 2001 An introduction to linear algebra methods for solving polynomial equations. Zbl 0944.65054 Mourrain, B. 4 1998 Controlled iterative methods for solving polynomial systems. Zbl 0924.65043 Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y. 4 1998 The 40 “generic” positions of a parallel robot. Zbl 0925.70047 Mourrain, B. 4 1993 Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1374.68658 Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique 4 2000 Punctual Hilbert scheme and certified approximate singularities. Zbl 07300089 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 4 2020 Structured low rank decomposition of multivariate Hankel matrices. Zbl 1417.15044 Harmouch, J.; Khalil, H.; Mourrain, B. 4 2018 Applications of Clifford algebras in robotics. Zbl 0900.70070 Mourrain, B.; Stolfi, N. 3 1995 Toric border basis. Zbl 1325.68296 Mourrain, Bernard; Trébuchet, Philippe 3 2014 Singular zeros of polynomial systems. Zbl 1331.65074 Mantzaflaris, Angelos; Mourrain, Bernard 3 2014 Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033 Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B. 3 2014 Analytical blind channel identification. Zbl 1369.94467 Grellier, Olivier; Comon, Pierre; Mourrain, Bernard; Trébuchet, Philippe 3 2002 Computing nearest gcd with certification. Zbl 1356.68273 Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard 3 2009 Accelerated solution of multivariate polynomial systems of equations. Zbl 1030.65051 Mourrain, B.; Pan, V. Y.; Ruatta, O. 3 2003 Skew-symmetric tensor decomposition. Zbl 1458.15044 Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard 3 2021 On the effective Putinar’s Positivstellensatz and moment approximation. Zbl 1518.14080 Baldi, Lorenzo; Mourrain, Bernard 7 2023 A certified iterative method for isolated singular roots. Zbl 1514.13029 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 2 2023 Tensor decomposition for learning Gaussian mixtures from moments. Zbl 1492.14094 Khouja, Rima; Mattei, Pierre-Alexandre; Mourrain, Bernard 2 2022 \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces. Zbl 1527.65017 Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard 2 2022 Riemannian Newton optimization methods for the symmetric tensor approximation problem. Zbl 1481.15028 Khouja, Rima; Khalil, Houssam; Mourrain, Bernard 1 2022 Flux-aligned quad mesh generation in magnetohydrodynamic simulation. Zbl 07561070 Wu, Meng; Wang, Xuhui; Nkonga, Boniface; Mourrain, Bernard; Xu, Gang; Ni, Qian; Liu, Yuan 1 2022 Skew-symmetric tensor decomposition. Zbl 1458.15044 Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard 3 2021 Truncated normal forms for solving polynomial systems: generalized and efficient algorithms. Zbl 1443.13024 Mourrain, Bernard; Telen, Simon; Van Barel, Marc 3 2021 Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015 Blidia, Ahmed; Mourrain, Bernard; Xu, Gang 10 2020 Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 1505.65105 Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica 10 2020 On minimal decompositions of low rank symmetric tensors. Zbl 1460.13049 Mourrain, Bernard; Oneto, Alessandro 6 2020 Separation bounds for polynomial systems. Zbl 1446.68202 Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias 5 2020 Punctual Hilbert scheme and certified approximate singularities. Zbl 07300089 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 4 2020 Computing minimal Gorenstein covers. Zbl 1452.13032 Elias, Juan; Homs, Roser; Mourrain, Bernard 1 2020 Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112 Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard 3 2019 Enumerating the morphologies of non-degenerate Darboux cyclides. Zbl 1505.65111 Zhao, Mingyang; Jia, Xiaohong; Tu, Changhe; Mourrain, Bernard; Wang, Wenping 1 2019 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200 Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 35 2018 Polynomial-exponential decomposition from moments. Zbl 1427.14119 Mourrain, Bernard 12 2018 Solving polynomial systems via truncated normal forms. Zbl 1401.65054 Telen, Simon; Mourrain, Bernard; Barel, Marc Van 8 2018 Structured low rank decomposition of multivariate Hankel matrices. Zbl 1417.15044 Harmouch, J.; Khalil, H.; Mourrain, B. 4 2018 Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 1505.65106 Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon 3 2018 Axl, a geometric modeler for semi-algebraic shapes. Zbl 1396.65028 Christoforou, Emmanouil; Mantzaflaris, Angelos; Mourrain, Bernard; Wintz, Julien 1 2018 \(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012 Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly 16 2017 Hermite type spline spaces over rectangular meshes with complex topological structures. Zbl 1490.65018 Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface 12 2017 On deflation and multiplicity structure. Zbl 1387.13063 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2017 Tensor decomposition and homotopy continuation. Zbl 1377.65057 Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard 10 2017 \(H^1\)-parametrizations of complex planar physical domains in isogeometric analysis. Zbl 1439.65198 Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface 6 2017 Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Zbl 1366.65098 Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng 5 2017 Fast algorithm for border bases of Artinian Gorenstein algebras. Zbl 1458.13036 Mourrain, Bernard 3 2017 Decomposition of low rank multi-symmetric tensor. Zbl 1507.15016 Harmouch, Jouhayna; Mourrain, Bernard; Khalil, Houssam 1 2017 Efficient certification of numeric solutions to eigenproblems. Zbl 1504.65112 van der Hoeven, Joris; Mourrain, Bernard 1 2017 Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010 Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly 29 2016 Extensors and the Hilbert scheme. Zbl 1342.14008 Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita 7 2016 Border basis relaxation for polynomial optimization. Zbl 1346.90655 Abril Bucero, Marta; Mourrain, Bernard 7 2016 Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. Zbl 1336.68309 Jia, Xiaohong; Wang, Wenping; Choi, Yi-King; Mourrain, Bernard; Tu, Changhe 6 2016 Flat extensions in \(\ast\)-algebras. Zbl 1364.46047 Mourrain, Bernard; Schmüdgen, Konrad 3 2016 On the construction of general cubature formula by flat extensions. Zbl 1386.65094 Abril Bucero, Marta; Bajaj, Chandrajit; Mourrain, Bernard 1 2016 Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2015 Efficient construction of multi-block volumetric spline parameterization by discrete mask method. Zbl 1321.65028 Xu, Gang; Mourrain, Bernard; Wu, Xiangyang; Chen, Long; Hui, Kin-chuen 6 2015 On the dimension of spline spaces on planar T-meshes. Zbl 1360.65052 Mourrain, Bernard 25 2014 High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020 Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon 22 2014 A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034 Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard 18 2014 Dimensions and bases of hierarchical tensor-product splines. Zbl 1292.65009 Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong 11 2014 Bounds on the dimension of trivariate spline spaces: a homological approach. Zbl 1317.13035 Mourrain, Bernard; Villamizar, Nelly 5 2014 Toric border basis. Zbl 1325.68296 Mourrain, Bernard; Trébuchet, Philippe 3 2014 Singular zeros of polynomial systems. Zbl 1331.65074 Mantzaflaris, Angelos; Mourrain, Bernard 3 2014 Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033 Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B. 3 2014 Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. Zbl 1349.65079 Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André 64 2013 General tensor decomposition, moment matrices and applications. Zbl 1275.15017 Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B. 22 2013 Moment matrices, border bases and real radical computation. Zbl 1276.13021 Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe 13 2013 Homological techniques for the analysis of the dimension of triangular spline spaces. Zbl 1370.41020 Mourrain, Bernard; Villamizar, Nelly 9 2013 Superfast solution of Toeplitz systems based on syzygy reduction. Zbl 1267.65032 Khalil, Houssam; Mourrain, Bernard; Schatzman, Michelle 1 2013 On the isotopic meshing of an algebraic implicit surface. Zbl 1237.14069 Diatta, Daouda Niang; Mourrain, Bernard; Ruatta, Olivier 7 2012 Border basis representation of a general quotient algebra. Zbl 1323.68618 Mourrain, Bernard; Trébuchet, Philippe 6 2012 On the computation of matrices of traces and radicals of ideals. Zbl 1230.13002 Janovitz-Freireich, Itnuit; Mourrain, Bernard; Rónyai, Lajos; Szántó, Ágnes 1 2012 Parameterization of computational domain in isogeometric analysis: methods and comparison. Zbl 1228.65232 Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André 102 2011 Deflation and certified isolation of singular zeros of polynomial systems. Zbl 1323.65054 Mantzaflaris, Angelos; Mourrain, Bernard 18 2011 On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Zbl 1243.12005 Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias 9 2011 An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020 Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping 9 2011 Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017 Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard 6 2011 A subdivision method for computing nearest gcd with certification. Zbl 1221.68297 Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude 5 2011 A construction of injective parameterizations of domains for isogeometric applications. Zbl 1350.65128 Nguyen, Thien; Mourrain, Bernard; Galligo, André; Xu, Gang 1 2011 Symmetric tensor decomposition. Zbl 1206.65141 Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias 89 2010 The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 19 2010 A subdivision method for arrangement computation of semi-algebraic curves. Zbl 1191.68890 Mourrain, Bernard; Wintz, Julien 1 2010 GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory. Zbl 1308.68173 Hodorog, Mădălina; Mourrain, Bernard; Schicho, Josef 1 2010 Subdivision methods for solving polynomial equations. Zbl 1158.13010 Mourrain, B.; Pavone, J. P. 35 2009 A generalized flat extension theorem for moment matrices. Zbl 1183.30030 Laurent, Monique; Mourrain, Bernard 18 2009 Explicit factors of some iterated resultants and discriminants. Zbl 1200.13042 Busé, Laurent; Mourrain, Bernard 13 2009 Isotopic triangulation of a real algebraic surface. Zbl 1173.14344 Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre 11 2009 Using signature sequences to classify intersection curves of two quadrics. Zbl 1205.68473 Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye 9 2009 Curve/surface intersection problem by means of matrix representations. Zbl 1356.65060 Luu Ba Thang; Busé, Laurent; Mourrain, Bernard 6 2009 Computing nearest gcd with certification. Zbl 1356.68273 Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard 3 2009 Continued fraction expansion of real roots of polynomial systems. Zbl 1356.65124 Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias 2 2009 Symmetric tensors and symmetric tensor rank. Zbl 1181.15014 Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard 193 2008 Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343 Alberti, L.; Mourrain, B.; Wintz, J. 18 2008 On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046 Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier 18 2008 Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 16 2008 Stable normal forms for polynomial system solving. Zbl 1159.68045 Mourrain, Bernard; Trébuchet, Philippe 13 2008 Subdivision methods for the topology of 2d and 3d implicit curves. Zbl 1132.14335 Liang, Chen; Mourrain, Bernard; Pavone, Jean-Pascal 10 2008 SYNAPS: a library for dedicated applications in symbolic numeric computing. Zbl 1161.68882 Mourrain, Bernard; Pavone, Jean-Pascal; Trebuchet, Philippe; Tsigaridas, Elias P.; Wintz, Julien 2 2008 Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) Zbl 1127.13001 Elkadi, Mohamed; Mourrain, Bernard 30 2007 Pythagore’s dilemma, symbolic-numeric computation, and the border basis method. Zbl 1117.65076 Mourrain, Bernard 11 2007 Meshing of surfaces. Zbl 1116.65020 Boissonnat, Jean-Daniel; Cohen-Steiner, David; Mourrain, Bernard; Rote, Günter; Vegter, Gert 7 2007 Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342 Alberti, Lionel; Mourrain, Bernard 5 2007 Algebraic issues in computational geometry. Zbl 1116.65029 Mourrain, Bernard; Pion, Sylvain; Schmitt, Susanne; Técourt, Jean-Pierre; Tsigaridas, Elias; Wolpert, Nicola 2 2007 Determining the number of real roots of polynomials through neural networks. Zbl 1100.65044 Mourrain, B.; Pavlidis, N. G.; Tasoulis, D. K.; Vrahatis, M. N. 2 2006 Some results on minimal Euclidean reconstruction from four points. Zbl 1478.94076 Quan, Long; Triggs, Bill; Mourrain, Bernard 2 2006 Generalized normal forms and polynomial system solving. Zbl 1360.68947 Mourrain, Bernard; Trebuchet, Philippe 29 2005 Resultant-based methods for plane curves intersection problems. Zbl 1169.65316 Busé, Laurent; Khalil, Houssam; Mourrain, Bernard 20 2005 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 16 2005 On the computation of an arrangement of quadrics in 3D. Zbl 1063.65018 Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique 16 2005 Computing the topology of three-dimensional algebraic curves. Zbl 1077.14089 Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P. 14 2005 Meshing implicit algebraic surfaces: the smooth case. Zbl 1080.65514 Alberti, L.; Comte, G.; Mourrain, B. 8 2005 Bezoutian and quotient ring structure. Zbl 1120.13035 Mourrain, B. 7 2005 Symbolic-numeric methods for solving polynomial equations and applications. Zbl 1152.68701 Elkadi, Mohamed; Mourrain, Bernard 2 2005 Residue and implicitization problem for rational surfaces. Zbl 1058.14073 Elkadi, Mohamed; Mourrain, Bernard 7 2004 Quadratically parametrized surfaces: algorithms and applications. Zbl 1060.65528 Aries, Franck; Mourrain, Bernard; Técourt, Jean-Pierre 1 2004 Using projection operators in computer aided geometric design. Zbl 1036.14500 Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard 8 2003 Circular cylinders through four or five points in space. Zbl 1031.52008 Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe 6 2003 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,415 Authors 71 Mourrain, Bernard 26 Ballico, Edoardo 22 Bernardi, Alessandra 20 Tsigaridas, Elias P. 18 Jüttler, Bert 17 Harada, Masaaki 17 Xu, Gang 15 Busé, Laurent 15 Pan, Victor Yakovlevich 14 Chen, Falai 13 Deng, Jiansong 13 Kapl, Mario 12 Cheng, Jinsan 12 Mantzaflaris, Angelos 11 Comon, Pierre 11 Emiris, Ioannis Z. 11 Hauenstein, Jonathan D. 11 Sagraloff, Michael 11 Takacs, Thomas 11 Toshniwal, Deepesh 10 Solé, Patrick 10 Speleers, Hendrik 10 Szántó, Ágnes 10 Zhi, Lihong 10 Zhu, Chungang 9 De Lathauwer, Lieven 9 Galligo, André 9 Kreuzer, Martin 9 Nie, Jiawang 9 Qi, Liqun 8 Alcazar, Juan Gerardo 8 Bracco, Cesare 8 Chiantini, Luca 8 D’Andrea, Carlos 8 Faugère, Jean-Charles 8 Gonzalez-Vega, Laureano 8 Ji, Ye 8 Villamizar, Nelly 7 Bordas, Stéphane Pierre Alain 7 Deng, Fang 7 Díaz-Toca, Gema María 7 Hughes, Thomas J. R. 7 Manni, Carla 7 Massarenti, Alex 7 Mora, Teo 7 Oneto, Alessandro 7 Ottaviani, Giorgio Maria 7 Rabczuk, Timon 7 Rouillier, Fabrice 7 Sangalli, Giancarlo 7 Schost, Éric 7 Teitler, Zach 7 Vitrih, Vito 7 Zhang, Yongjie Jessica 6 Caravantes, Jorge 6 Elkadi, Mohamed 6 Giannelli, Carlotta 6 Jeronimo, Gabriela 6 Li, Xin 6 Minimair, Manfred 6 Ni, Guyan 6 Roggero, Margherita 6 Schicho, Josef 6 Scott, Michael A. 6 Usevich, Konstantin 6 Vannieuwenhoven, Nick 6 Vrahatis, Michael N. 6 Wang, Yiju 6 Wu, Meng 6 Xu, Changqing 6 Zheng, Baodong 5 Carlini, Enrico 5 Chu, Moody T. 5 Dipasquale, Michael R. 5 Dougherty, Steven T. 5 Fan, Jinyan 5 Gao, Xiaoshan 5 Hu, ShengLong 5 Jin, Kai 5 Landsberg, Joseph Montague 5 Lazard, Sylvain 5 Lewis, Robert H. 5 Leykin, Anton 5 Li, Nan 5 Lim, Lek-Heng 5 Lin, Hongwei 5 Miezaki, Tsuyoshi 5 Nkonga, Boniface 5 Pan, Maodong 5 Ruatta, Olivier 5 Safey El Din, Mohab 5 Staglianò, Giovanni 5 Telen, Simon 5 Ventura, Emanuele 5 Wang, Wenping 5 Wu, Wenyuan 5 Xu, Jinlan 5 Yu, Yingying 5 Zeng, Chao 5 Zhou, Anwa ...and 1,315 more Authors all top 5 Cited in 222 Serials 127 Journal of Symbolic Computation 70 Computer Methods in Applied Mechanics and Engineering 68 Computer Aided Geometric Design 44 Linear Algebra and its Applications 35 Journal of Computational and Applied Mathematics 27 Theoretical Computer Science 22 SIAM Journal on Matrix Analysis and Applications 18 Computers & Mathematics with Applications 17 Journal of Pure and Applied Algebra 16 Linear and Multilinear Algebra 16 Foundations of Computational Mathematics 15 Applied Mathematics and Computation 15 Journal of Complexity 14 SIAM Journal on Applied Algebra and Geometry 13 Mathematics of Computation 13 Applicable Algebra in Engineering, Communication and Computing 13 Mathematics in Computer Science 12 Journal of Computational Physics 11 Computational Geometry 11 Finite Fields and their Applications 11 Journal of Systems Science and Complexity 10 Collectanea Mathematica 10 Journal of Algebra 9 Discrete Mathematics 9 Frontiers of Mathematics in China 8 Annali di Matematica Pura ed Applicata. 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Series A 4 Numerische Mathematik 4 European Journal of Combinatorics 4 Computational Mechanics 4 Journal of Scientific Computing 4 Designs, Codes and Cryptography 4 SIAM Journal on Optimization 4 Journal of Algebraic Combinatorics 4 Numerical Linear Algebra with Applications 4 Asian-European Journal of Mathematics 4 Communications in Mathematics and Statistics 4 Mathematics 3 Journal of Mathematical Physics 3 Mathematische Zeitschrift 3 SIAM Journal on Discrete Mathematics 3 Journal of Global Optimization 3 Computational Complexity 3 Applied Mathematics. Series B (English Edition) 3 Annals of Mathematics and Artificial Intelligence 3 Mediterranean Journal of Mathematics 3 Oberwolfach Reports 3 Optimization Letters 3 Advances in Mathematics of Communications 3 The Journal of Software for Algebra and Geometry 3 Bollettino dell’Unione Matematica Italiana 3 SMAI Journal of Computational Mathematics 2 Communications in Algebra 2 International Journal of Control 2 Journal of the Franklin Institute 2 Letters in Mathematical Physics 2 Acta Mathematica Vietnamica 2 The Annals of Statistics 2 Archiv der Mathematik 2 BIT 2 Journal of Geometry 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Mathematics of Operations Research 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Bulletin of the Korean Mathematical Society 2 Graphs and Combinatorics 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Signal Processing 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Algebra and Computation 2 International Journal of Computer Mathematics 2 Journal of Mathematical Imaging and Vision 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Journal of Machine Learning Research (JMLR) 2 Acta Numerica 2 Complex Analysis and Operator Theory 2 SIAM Journal on Imaging Sciences 2 Discrete Mathematics, Algorithms and Applications 2 Communications on Applied Mathematics and Computation ...and 122 more Serials all top 5 Cited in 55 Fields 503 Numerical analysis (65-XX) 253 Algebraic geometry (14-XX) 246 Computer science (68-XX) 232 Linear and multilinear algebra; matrix theory (15-XX) 217 Commutative algebra (13-XX) 83 Information and communication theory, circuits (94-XX) 62 Operations research, mathematical programming (90-XX) 61 Number theory (11-XX) 59 Approximations and expansions (41-XX) 56 Field theory and polynomials (12-XX) 49 Mechanics of deformable solids (74-XX) 29 Real functions (26-XX) 27 Functions of a complex variable (30-XX) 24 Combinatorics (05-XX) 24 Partial differential equations (35-XX) 23 Statistics (62-XX) 20 Operator theory (47-XX) 19 Systems theory; control (93-XX) 18 Convex and discrete geometry (52-XX) 18 Differential geometry (53-XX) 18 Fluid mechanics (76-XX) 13 Integral transforms, operational calculus (44-XX) 12 Quantum theory (81-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Functional analysis (46-XX) 10 Biology and other natural sciences (92-XX) 9 Geometry (51-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of particles and systems (70-XX) 6 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 5 Special functions (33-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year