## Brandts, Jan H.

Compute Distance To:
 Author ID: brandts.jan-h Published as: Brandts, Jan; Brandts, Jan H.; Brandts, J. H.; Brandts, J. more...less Further Spellings: Brandts, Johannes Hendrikus Homepage: https://www.uva.nl/en/profile/b/r/j.h.brandts/j.h.brandts.html?cb External Links: MGP · Google Scholar · dblp · GND
 Documents Indexed: 63 Publications since 1994, including 1 Book 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 30 Co-Authors with 47 Joint Publications 817 Co-Co-Authors
all top 5

### Co-Authors

 20 single-authored 29 Křížek, Michal 14 Korotov, Sergey 5 Cihangir, Apo 3 Chen, Yanping 3 da Silva, Ricardo Reis 3 Šístek, Jakub 3 Vejchodský, Tomáš 2 Segeth, Karel 1 Barbeiro, Sílvia 1 Bart, Harm 1 Chleboun, Jan 1 Cihangir, Abdullah 1 de Haan, Vincent 1 Dijkhuis, Sander 1 Ferreira, José Augusto 1 Grigorieff, Rolf Dieter 1 Hannukainen, Antti 1 Kuiper, Carlo 1 Maas, Leo R. M. 1 Ran, André C. M. 1 Sleijpen, Gerard L. G. 1 Sloan, Ian Hugh 1 Šolc, Jakub 1 Steenkamp, Rik 1 Stevenson, Rob P. 1 Swart, Arno 1 van den Hooff, Jelle 1 Van der Vorst, Henk Albertus 1 Van Dooren, Paul M. 1 Yang, Julie
all top 5

### Serials

 10 Applications of Mathematics 6 Linear Algebra and its Applications 6 Pokroky Matematiky, Fyziky & Astronomie 2 IMA Journal of Numerical Analysis 1 Computers & Mathematics with Applications 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematica Bohemica 1 Computational Geometry 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Fluid Mechanics 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Cubo Matemática Educacional 1 International Journal of Numerical Analysis and Modeling 1 S$$\vec{\text{e}}$$MA Journal 1 East Asian Journal on Applied Mathematics 1 Special Matrices 1 Springer Monographs in Mathematics
all top 5

### Fields

 47 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 387 times in 274 Documents Cited by Year
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086
Brandts, Jan H.; Korotov, Sergey; Křížek, Michal
2008
Superconvergence and a posteriori error estimation for triangular mixed finite elements. Zbl 0823.65103
Brandts, Jan H.
1994
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2009
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
2003
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2008
Dissection of the path-simplex in $$\mathbb {R}^n$$ into $$n$$ path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Superconvergence for triangular order $$k=1$$ Raviart-Thomas mixed finite elements and for triangular standard quadratic finite element methods. Zbl 0948.65120
Brandts, Jan H.
2000
A note on least-squares mixed finite elements in relation to standard and mixed finite elements. Zbl 1106.65102
Brandts, Jan; Chen, Yanping; Yang, Julie
2006
On the equivalence of ball conditions for simplicial finite elements in $$\mathbf R^d$$. Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2009
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
2001
Superconvergence of mixed finite element semi-discretizations of two time-dependent problems. Zbl 1059.65518
Brandts, Jan H.
1999
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
2005
Matlab code for sorting real Schur forms. Zbl 1071.65500
Brandts, J. H.
2002
Generalization of the Zlamal condition for simplicial finite elements in $$\mathbb {R}^{d}$$. Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2011
Superconvergence of least-squares mixed finite elements. Zbl 1096.65108
Brandts, Jan; Chen, Yanping
2006
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2011
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action. Zbl 1030.65022
Brandts, Jan
2003
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
Numerical solution of the two-dimensional Poincaré equation. Zbl 1108.76057
Swart, Arno; Sleijpen, Gerard L. G.; Maas, Leo R. M.; Brandts, Jan
2007
Superapproximation and commutator properties of discrete orthogonal projections for continuous splines. Zbl 0979.65010
Grigorieff, R. D.; Sloan, I. H.; Brandts, J. H.
2000
Computable eigenvalue bounds for rank-$$k$$ perturbations. Zbl 1195.15019
Brandts, Jan H.; da Silva, Ricardo Reis
2010
A note on uniform superconvergence for the Timoshenko beam using mixed finite elements. Zbl 0816.73056
Brandts, Jan H.
1994
The strengthened Cauchy-bunyakowski-Schwarz inequality for $$n$$-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2005
Computation of invariant subspaces of large and sparse matrices. Zbl 1369.65056
Brandts, Jan
2003
Solving eigenproblems: From Arnoldi via Jacobi-Davidson to the Riccati method. Zbl 1033.65016
Brandts, Jan H.
2003
Enumeration and investigation of acute $$0/1$$-simplices modulo the action of the hyperoctahedral group. Zbl 1392.05019
Brandts, Jan; Cihangir, Apo
2017
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2012
Duality of isosceles tetrahedra. Zbl 1430.51027
Brandts, Jan; Křížek, Michal
2019
Analysis of a non-standard mixed finite element method with applications to superconvergence. Zbl 1212.65441
Brandts, Jan H.
2009
An alternative to the least-squares mixed finite element method for elliptic problems. Zbl 1056.65110
Brandts, Jan; Chen, Yanping
2004
Geometric aspects of the symmetric inverse M-matrix problem. Zbl 1382.15047
Brandts, Jan; Cihangir, Apo
2016
Computing tall skinny solutions of $$AX-XB=C$$. Zbl 1013.65035
Brandts, Jan
2003
A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. Zbl 1060.65642
Brandts, Jan H.
1999
The convergence of Krylov methods and Ritz values. Zbl 1060.65582
Brandts, Jan; van der Vorst, Henk
2004
There are only two nonobtuse binary triangulations of the unit $$n$$-cube. Zbl 1261.65020
Brandts, Jan; Dijkhuis, Sander; de Haan, Vincent; Křížek, Michal
2013
The latent linear algebra in the web search engine Google. Zbl 1265.68014
Brandts, Jan; Křížek, Michal
2007
Counting triangles that share their vertices with the unit $$n$$-cube. Zbl 1340.52020
Brandts, Jan; Cihangir, Apo
2013
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2015
A comparison of subspace methods for Sylvester equations. Zbl 1031.65061
Brandts, Jan
2001
Theory and practice of superconvergence based on a posteriori error estimation in a Galerkin boundary element method. Zbl 0932.65124
Brandts, Jan H.
1998
A subspace-projected approximate matrix method for systems of linear equations. Zbl 1287.65021
Brandts, Jan; da Silva, Ricardo R.
2013
Factorization of cp-rank-$$3$$ completely positive matrices. Zbl 1413.15020
Brandts, Jan; Křížek, Michal
2016
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
Duality of isosceles tetrahedra. Zbl 1430.51027
Brandts, Jan; Křížek, Michal
2019
Enumeration and investigation of acute $$0/1$$-simplices modulo the action of the hyperoctahedral group. Zbl 1392.05019
Brandts, Jan; Cihangir, Apo
2017
Geometric aspects of the symmetric inverse M-matrix problem. Zbl 1382.15047
Brandts, Jan; Cihangir, Apo
2016
Factorization of cp-rank-$$3$$ completely positive matrices. Zbl 1413.15020
Brandts, Jan; Křížek, Michal
2016
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2015
There are only two nonobtuse binary triangulations of the unit $$n$$-cube. Zbl 1261.65020
Brandts, Jan; Dijkhuis, Sander; de Haan, Vincent; Křížek, Michal
2013
Counting triangles that share their vertices with the unit $$n$$-cube. Zbl 1340.52020
Brandts, Jan; Cihangir, Apo
2013
A subspace-projected approximate matrix method for systems of linear equations. Zbl 1287.65021
Brandts, Jan; da Silva, Ricardo R.
2013
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2012
Generalization of the Zlamal condition for simplicial finite elements in $$\mathbb {R}^{d}$$. Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2011
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2011
Computable eigenvalue bounds for rank-$$k$$ perturbations. Zbl 1195.15019
Brandts, Jan H.; da Silva, Ricardo Reis
2010
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2009
On the equivalence of ball conditions for simplicial finite elements in $$\mathbf R^d$$. Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2009
Analysis of a non-standard mixed finite element method with applications to superconvergence. Zbl 1212.65441
Brandts, Jan H.
2009
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086
Brandts, Jan H.; Korotov, Sergey; Křížek, Michal
2008
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2008
Dissection of the path-simplex in $$\mathbb {R}^n$$ into $$n$$ path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Numerical solution of the two-dimensional Poincaré equation. Zbl 1108.76057
Swart, Arno; Sleijpen, Gerard L. G.; Maas, Leo R. M.; Brandts, Jan
2007
The latent linear algebra in the web search engine Google. Zbl 1265.68014
Brandts, Jan; Křížek, Michal
2007
A note on least-squares mixed finite elements in relation to standard and mixed finite elements. Zbl 1106.65102
Brandts, Jan; Chen, Yanping; Yang, Julie
2006
Superconvergence of least-squares mixed finite elements. Zbl 1096.65108
Brandts, Jan; Chen, Yanping
2006
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
2005
The strengthened Cauchy-bunyakowski-Schwarz inequality for $$n$$-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2005
An alternative to the least-squares mixed finite element method for elliptic problems. Zbl 1056.65110
Brandts, Jan; Chen, Yanping
2004
The convergence of Krylov methods and Ritz values. Zbl 1060.65582
Brandts, Jan; van der Vorst, Henk
2004
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
2003
The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action. Zbl 1030.65022
Brandts, Jan
2003
Computation of invariant subspaces of large and sparse matrices. Zbl 1369.65056
Brandts, Jan
2003
Solving eigenproblems: From Arnoldi via Jacobi-Davidson to the Riccati method. Zbl 1033.65016
Brandts, Jan H.
2003
Computing tall skinny solutions of $$AX-XB=C$$. Zbl 1013.65035
Brandts, Jan
2003
Matlab code for sorting real Schur forms. Zbl 1071.65500
Brandts, J. H.
2002
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
2001
A comparison of subspace methods for Sylvester equations. Zbl 1031.65061
Brandts, Jan
2001
Superconvergence for triangular order $$k=1$$ Raviart-Thomas mixed finite elements and for triangular standard quadratic finite element methods. Zbl 0948.65120
Brandts, Jan H.
2000
Superapproximation and commutator properties of discrete orthogonal projections for continuous splines. Zbl 0979.65010
Grigorieff, R. D.; Sloan, I. H.; Brandts, J. H.
2000
Superconvergence of mixed finite element semi-discretizations of two time-dependent problems. Zbl 1059.65518
Brandts, Jan H.
1999
A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. Zbl 1060.65642
Brandts, Jan H.
1999
Theory and practice of superconvergence based on a posteriori error estimation in a Galerkin boundary element method. Zbl 0932.65124
Brandts, Jan H.
1998
Superconvergence and a posteriori error estimation for triangular mixed finite elements. Zbl 0823.65103
Brandts, Jan H.
1994
A note on uniform superconvergence for the Timoshenko beam using mixed finite elements. Zbl 0816.73056
Brandts, Jan H.
1994
all top 5

### Cited by 372 Authors

 32 Korotov, Sergey 19 Křížek, Michal 15 Brandts, Jan H. 10 Zhu, Qiding 9 Huang, Yunqing 9 Liu, Jinghong 6 Chen, Yanping 6 Hannukainen, Antti 6 Plaza, Ángel 5 Hu, Jun 5 Huang, Weizhang 5 Ku, Jaeun 5 Li, Yuwen 5 Ma, Limin 5 Todorov, Todor Dimitrov 5 Vejchodský, Tomáš 5 Walker, Shawn W. 5 Wu, Chao 5 Yang, Ying 5 Yi, Nianyu 5 Yuan, Jinyun 4 Fan, Hung-Yuan 4 Faragó, István 4 Hošek, Radim 4 Karátson, János 4 Li, Xianping 4 Petrov, Miroslav S. 4 Vatne, Jon Eivind 4 Yang, Jiming 3 Baĭdakova, Natalia Vasil’evna 3 Cihangir, Apo 3 Du, Qiang 3 Ferreira, José Augusto 3 He, Wenming 3 Ishizaka, Hiroki 3 Khademi, Ali 3 Kim, Kwang Yeon 3 Kobayashi, Kenta 3 Li, Jichun 3 Manzini, Gianmarco 3 Padrón, Miguel A. 3 Picasso, Marco 3 Tsuchiya, Takuya 3 Vabishchevich, Pëtr Nikolaevich 3 Weber, Marcus 3 Xie, Hehu 3 Xiong, Zhiguang 3 Zhang, Zhimin 2 Barbeiro, Sílvia 2 Bertoluzza, Silvia 2 Biasotti, Silvia 2 Bringmann, Philipp 2 Cabiddu, Daniela 2 Carstensen, Carsten 2 Chen, Zhangxin 2 Chu, Eric K.-W. 2 Cui, Junzhi 2 Duan, Huoyuan 2 Fackeldey, Konstantin 2 Fang, Mingjuan 2 Feng, Xinlong 2 Gaspar, Francisco José 2 Grigorieff, Rolf Dieter 2 Guoy, Damrong 2 He, Ruijian 2 Hirani, Anil N. 2 Horváth, Robert A. 2 King-wah Chu, Eric 2 Kreuzer, Christian 2 Li, Yonghai 2 Lin, Qun 2 Lin, Runchang 2 Lipnikov, Konstantin N. 2 Lötstedt, Per 2 Lu, Benzhuo 2 Lu, Changna 2 Ma, Rui 2 Maas, Leo R. M. 2 Mao, Shipeng 2 Münzenmaier, Steffen 2 Nochetto, Ricardo Horacio 2 Pak, Igor 2 Patané, Giuseppe 2 Pennacchio, Micol 2 Peralta, Gilbert R. 2 Pollock, Sara 2 Prada, Daniele 2 Rodrigo, Carmen 2 Shen, Ruigang 2 Shi, Zhongci 2 Shu, Shi 2 Sloan, Ian Hugh 2 Spagnuolo, Michela 2 Starke, Gerhard 2 Suárez, José Pablo 2 Sun, Ming 2 Svyatsky, Daniil 2 Tan, Roger C. E. 2 Tang, Ming 2 Tang, Yuelong ...and 272 more Authors
all top 5

### Cited in 86 Serials

 20 Journal of Computational and Applied Mathematics 14 Applications of Mathematics 13 Computers & Mathematics with Applications 13 Numerical Methods for Partial Differential Equations 12 Numerische Mathematik 10 Mathematics of Computation 10 Applied Numerical Mathematics 9 Applied Mathematics and Computation 9 Journal of Scientific Computing 8 Journal of Computational Physics 7 Computer Methods in Applied Mechanics and Engineering 7 Numerical Algorithms 6 Applied Mathematics Letters 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 Linear Algebra and its Applications 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 4 Journal of Fluid Mechanics 4 Applied Mathematical Modelling 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 BIT 3 Discrete & Computational Geometry 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 International Journal for Numerical Methods in Engineering 2 Computational Geometry 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Journal of Systems Science and Complexity 2 Central European Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Proceedings of the Steklov Institute of Mathematics 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Korean Journal of Mathematics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 The Mathematical Intelligencer 1 Calcolo 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Geometry 1 Transactions of the American Mathematical Society 1 Mathematica Numerica Sinica 1 Combinatorica 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Economic Dynamics & Control 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Matematicheskie Trudy 1 European Journal of Mechanics. B. Fluids 1 Engineering Computations 1 CEJOR. Central European Journal of Operations Research 1 Computational Methods in Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems 1 GAMM-Mitteilungen 1 Frontiers of Mathematics in China 1 Journal of Topology 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
all top 5

### Cited in 36 Fields

 234 Numerical analysis (65-XX) 106 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 20 Optics, electromagnetic theory (78-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Mechanics of deformable solids (74-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Geometry (51-XX) 12 Convex and discrete geometry (52-XX) 9 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX)