## Greif, Chen

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 Author ID: greif.chen Published as: Greif, Chen; Greif, C. External Links: MGP
 Documents Indexed: 45 Publications since 1998, including 3 Books 2 Contributions as Editor Co-Authors: 45 Co-Authors with 44 Joint Publications 1,285 Co-Co-Authors
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### Co-Authors

 2 single-authored 8 Varah, James M. 5 Golub, Gene Howard 5 Schötzau, Dominik 4 Gleich, David F. 3 Estrin, Ron 3 Wathen, Michael 2 Ascher, Uri M. 2 Bonchi, Francesco 2 Bridson, Robert 2 Esfandiar, Pooya 2 Hocking, L. Robert 2 Lakshmanan, Laks V. S. 2 Li, Dan 2 Rees, Tyrone 2 Szyld, Daniel B. 1 Björk, Åke 1 Bosch, Jessica 1 Chan, Raymond Hon-Fu 1 Cohen-Or, Daniel 1 Gautschi, Walter 1 Gray, Andrew P. 1 Greenbaum, Anne 1 Greenstreet, Mark R. 1 He, Shiwen 1 Higham, Nicholas J. 1 Hocking, Robert L. 1 Ju, Tao 1 Kurokawa, David 1 Lau, Tracy 1 Mitra, Niloy J. 1 Modersitzki, Jan 1 Moulding, Erin 1 Neuenhofen, Martin P. 1 O’Leary, Dianne P. 1 On, Byung-Won 1 Orban, Dominique 1 Overton, Michael L. 1 Paige, Christopher C. 1 Psarrakos, Panayiotis J. 1 Rees, Tim 1 Ren, Jihong 1 Ruthotto, Lars 1 Shamir, Ariel 1 Sorkine-Hornung, Olga 1 Stewart, Gilbert Wright 1 Titley-Péloquin, David 1 Wei, Xiaoxi 1 Woerdeman, Hugo Jan 1 Zhang, Hao 1 Zhu, Yufeng
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### Serials

 9 SIAM Journal on Matrix Analysis and Applications 9 SIAM Journal on Scientific Computing 7 Numerical Linear Algebra with Applications 3 ETNA. Electronic Transactions on Numerical Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 BIT 1 Journal of Computational and Applied Mathematics 1 ACM Transactions on Graphics 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 Internet Mathematics 1 Computational Science & Engineering 1 S$$\vec{\text{e}}$$MA Journal
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### Fields

 42 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 515 times in 363 Documents Cited by Year
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
2003
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi
2010
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
2006
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
2007
An inner-outer iteration for computing PageRank. Zbl 1209.65043
Gleich, David F.; Gray, Andrew P.; Greif, Chen; Lau, Tracy
2010
Preconditioners for saddle point linear systems with highly singular $$(1,1)$$ blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
2006
Bounds on eigenvalues of matrices arising from interior-point methods. Zbl 1291.15008
Greif, Chen; Moulding, Erin; Orban, Dominique
2014
A multipreconditioned conjugate gradient algorithm. Zbl 1104.65027
Bridson, Robert; Greif, Chen
2006
A preconditioner for linear systems arising from interior point optimization methods. Zbl 1155.65048
Rees, Tim; Greif, Chen
2007
Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. Zbl 0916.65028
Greif, Chen; Varah, James
1998
Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. Zbl 0936.65125
Greif, Chen; Varah, James
1999
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
2006
Fast matrix computations for pairwise and columnwise commute times and Katz scores. Zbl 1245.05026
Bonchi, Francesco; Esfandiar, Pooya; Gleich, David F.; Greif, Chen; Lakshmanan, Laks V. S.
2012
Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091
Li, Dan; Greif, Chen; Schötzau, Dominik
2012
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
2017
The power and Arnoldi methods in an algebra of circulants. Zbl 1313.65079
Gleich, David F.; Greif, Chen; Varah, James M.
2013
On nonsingular saddle-point systems with a maximally rank deficient leading block. Zbl 1328.65075
Estrin, Ron; Greif, Chen
2015
GMRES with multiple preconditioners. Zbl 1383.65026
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
2017
A first course in numerical methods. Zbl 1326.65001
Ascher, Uri M.; Greif, Chen
2011
Iterative solution of skew-symmetric linear systems. Zbl 1191.65028
Greif, Chen; Varah, James M.
2009
A scalable approximate inverse block preconditioner for an incompressible magnetohydrodynamics model problem. Zbl 1428.76177
Wathen, Michael; Greif, Chen
2020
Greif, Chen; Wathen, Michael
2019
Minimizing the condition number for small rank modifications. Zbl 1143.65341
Greif, Chen; Varah, James M.
2006
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
2002
A stabilized multigrid solver for hyperelastic image registration. Zbl 1424.68202
Ruthotto, Lars; Greif, Chen; Modersitzki, Jan
2017
Additive Schwarz with variable weights. Zbl 1382.65085
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
2014
Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. Zbl 1347.65062
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M.
2016
SPMR: A family of saddle-point minimum residual solvers. Zbl 1448.65022
Estrin, Ron; Greif, Chen
2018
Closed-form multigrid smoothing factors for lexicographic Gauss-Seidel. Zbl 1272.65099
Hocking, L. Robert; Greif, Chen
2012
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
2010
SYM-ILDL: Incomplete LDL$$^{\mathrm T}$$ factorization of symmetric indefinite and skew-symmetric matrices. Zbl 1380.65061
Greif, Chen; He, Shiwen; Liu, Paul
2017
Mstab: stabilized induced dimension reduction for Krylov subspace recycling. Zbl 1390.93355
Neuenhofen, Martin P.; Greif, Chen
2018
A note on the convergence of SOR for the pagerank problem. Zbl 1232.65054
Greif, Chen; Kurokawa, David
2011
Reduced systems for three-dimensional elliptic equations with variable coefficients. Zbl 0942.65120
Greif, Chen
1999
A first course in numerical methods. Zbl 1232.65001
Ascher, Uri M.; Greif, Chen
2011
Optimal complex relaxation parameters in multigrid for complex-shifted linear systems. Zbl 1468.65218
Hocking, L. Robert; Greif, Chen
2021
A sampler of useful computational tools for applied geometry, computer graphics, and image processing. Zbl 1322.68002
Cohen-Or, Daniel; Greif, Chen; Ju, Tao; Mitra, Niloy J.; Shamir, Ariel; Sorkine-Hornung, Olga; Zhang, Hao Richard
2015
Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031
Golub, Gene H.
2007
The $$d_2$$-transformation for infinite double series and the $$D_2$$-transformation for infinite double integrals. Zbl 0905.65004
Greif, Chen; Levin, David
1998
Towards an optimal condition number of certain augmented Lagrangian-type saddle-point matrices. Zbl 1413.65163
Estrin, R.; Greif, C.
2016
Fast Katz and commuters: efficient estimation of social relatedness in large networks. Zbl 1253.68044
Esfandiar, Pooya; Bonchi, Francesco; Gleich, David F.; Greif, Chen; Lakshmanan, Laks V. S.; On, Byung-Won
2010
Optimal complex relaxation parameters in multigrid for complex-shifted linear systems. Zbl 1468.65218
Hocking, L. Robert; Greif, Chen
2021
A scalable approximate inverse block preconditioner for an incompressible magnetohydrodynamics model problem. Zbl 1428.76177
Wathen, Michael; Greif, Chen
2020
Greif, Chen; Wathen, Michael
2019
SPMR: A family of saddle-point minimum residual solvers. Zbl 1448.65022
Estrin, Ron; Greif, Chen
2018
Mstab: stabilized induced dimension reduction for Krylov subspace recycling. Zbl 1390.93355
Neuenhofen, Martin P.; Greif, Chen
2018
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
2017
GMRES with multiple preconditioners. Zbl 1383.65026
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
2017
A stabilized multigrid solver for hyperelastic image registration. Zbl 1424.68202
Ruthotto, Lars; Greif, Chen; Modersitzki, Jan
2017
SYM-ILDL: Incomplete LDL$$^{\mathrm T}$$ factorization of symmetric indefinite and skew-symmetric matrices. Zbl 1380.65061
Greif, Chen; He, Shiwen; Liu, Paul
2017
Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. Zbl 1347.65062
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M.
2016
Towards an optimal condition number of certain augmented Lagrangian-type saddle-point matrices. Zbl 1413.65163
Estrin, R.; Greif, C.
2016
On nonsingular saddle-point systems with a maximally rank deficient leading block. Zbl 1328.65075
Estrin, Ron; Greif, Chen
2015
A sampler of useful computational tools for applied geometry, computer graphics, and image processing. Zbl 1322.68002
Cohen-Or, Daniel; Greif, Chen; Ju, Tao; Mitra, Niloy J.; Shamir, Ariel; Sorkine-Hornung, Olga; Zhang, Hao Richard
2015
Bounds on eigenvalues of matrices arising from interior-point methods. Zbl 1291.15008
Greif, Chen; Moulding, Erin; Orban, Dominique
2014
Additive Schwarz with variable weights. Zbl 1382.65085
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
2014
The power and Arnoldi methods in an algebra of circulants. Zbl 1313.65079
Gleich, David F.; Greif, Chen; Varah, James M.
2013
Fast matrix computations for pairwise and columnwise commute times and Katz scores. Zbl 1245.05026
Bonchi, Francesco; Esfandiar, Pooya; Gleich, David F.; Greif, Chen; Lakshmanan, Laks V. S.
2012
Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091
Li, Dan; Greif, Chen; Schötzau, Dominik
2012
Closed-form multigrid smoothing factors for lexicographic Gauss-Seidel. Zbl 1272.65099
Hocking, L. Robert; Greif, Chen
2012
A first course in numerical methods. Zbl 1326.65001
Ascher, Uri M.; Greif, Chen
2011
A note on the convergence of SOR for the pagerank problem. Zbl 1232.65054
Greif, Chen; Kurokawa, David
2011
A first course in numerical methods. Zbl 1232.65001
Ascher, Uri M.; Greif, Chen
2011
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi
2010
An inner-outer iteration for computing PageRank. Zbl 1209.65043
Gleich, David F.; Gray, Andrew P.; Greif, Chen; Lau, Tracy
2010
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
2010
Fast Katz and commuters: efficient estimation of social relatedness in large networks. Zbl 1253.68044
Esfandiar, Pooya; Bonchi, Francesco; Gleich, David F.; Greif, Chen; Lakshmanan, Laks V. S.; On, Byung-Won
2010
Iterative solution of skew-symmetric linear systems. Zbl 1191.65028
Greif, Chen; Varah, James M.
2009
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
2007
A preconditioner for linear systems arising from interior point optimization methods. Zbl 1155.65048
Rees, Tim; Greif, Chen
2007
Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031
Golub, Gene H.
2007
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
2006
Preconditioners for saddle point linear systems with highly singular $$(1,1)$$ blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
2006
A multipreconditioned conjugate gradient algorithm. Zbl 1104.65027
Bridson, Robert; Greif, Chen
2006
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
2006
Minimizing the condition number for small rank modifications. Zbl 1143.65341
Greif, Chen; Varah, James M.
2006
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
2003
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
2002
Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. Zbl 0936.65125
Greif, Chen; Varah, James
1999
Reduced systems for three-dimensional elliptic equations with variable coefficients. Zbl 0942.65120
Greif, Chen
1999
Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. Zbl 0916.65028
Greif, Chen; Varah, James
1998
The $$d_2$$-transformation for infinite double series and the $$D_2$$-transformation for infinite double integrals. Zbl 0905.65004
Greif, Chen; Levin, David
1998
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### Cited by 562 Authors

 16 Huang, Ting-Zhu 15 Wen, Chun 11 Greif, Chen 11 He, Yinnian 10 Gu, Chuanqing 10 Shen, Zhaoli 10 Zhang, Guofeng 9 Liang, Zhaozheng 8 Il’in, Valeriĭ Pavlovich 8 Tian, Zhaolu 6 Benzi, Michele 6 Ding, Qianqian 6 Gu, Xian-Ming 6 Mao, Shipeng 6 Si, Zhiyong 6 Su, Haiyan 6 Zhang, Guodong 5 Axelsson, Axel Owe Holger 5 Bai, Zhongzhi 5 Cao, Yang 5 Dong, Xiaojing 5 Fan, Hongtao 5 Feng, Xinlong 5 Simoncini, Valeria 5 Wathen, Andrew John 5 Wei, Yimin 4 Blaheta, Radim 4 Estrin, Ron 4 Gleich, David F. 4 Hu, Qianying 4 Pu, Bingyuan 4 Shao, Xinhui 4 Spillane, Nicole 4 Wathen, Michael 4 Zhang, Litao 4 Zhang, Yan 3 Bu, Changjiang 3 Cao, Chongguang 3 Cao, Zhihao 3 Carpentieri, Bruno 3 Chen, Zhibing 3 Dassi, Franco 3 Gosselet, Pierre 3 Gur’eva, Ya. L. 3 Hadjidimos, Apostolos 3 Huang, Yunqing 3 Khojasteh Salkuyeh, Davod 3 Li, Lingxiao 3 Liu, Jun 3 Liu, Qingbing 3 Liu, Zhongyun 3 Long, Xiaonian 3 Ma, Changfeng 3 Mehrmann, Volker 3 Morini, Benedetta 3 Orban, Dominique 3 Pestana, Jennifer 3 Rees, Tyrone 3 Ren, Zhi-Ru 3 Scacchi, Simone 3 Shen, Shuqian 3 Szyld, Daniel B. 3 Tan, Xueyuan 3 Tang, Qili 3 Tardieu, Nicolas 3 Tian, Maoyi 3 Tudisco, Francesco 3 Wang, Yunxia 3 Wen, Pihua 3 Wu, Shiliang 3 Zhang, Jun 3 Zhao, Jiemei 3 Zikatanov, Ludmil T. 2 Adler, James H. 2 An, Rong 2 Ascher, Uri M. 2 Bizzarri, Michal 2 Bourchtein, Andrei 2 Bourchtein, Ludmila 2 Cheng, Guanghui 2 Curtis, Frank E. 2 Cyr, Eric C. 2 Dai, Hua 2 Dong, Yinghui 2 Dong, Yongxin 2 Edalatpanah, Seyyed Ahmad 2 Elman, Howard C. 2 Ferronato, Massimiliano 2 Frigo, Matteo 2 Ge, Yanling 2 Golub, Gene Howard 2 Gratton, Serge 2 Grigori, Laura 2 He, Yunhui 2 Hong, Qingguo 2 Huang, Na 2 Huang, Pengzhan 2 Janna, Carlo 2 Jiang, Xianglong 2 Jin, Yu ...and 462 more Authors
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### Cited in 94 Serials

 38 Journal of Computational and Applied Mathematics 27 Computers & Mathematics with Applications 22 SIAM Journal on Scientific Computing 21 Applied Mathematics and Computation 17 Numerical Linear Algebra with Applications 14 Journal of Scientific Computing 14 Numerical Algorithms 13 Linear Algebra and its Applications 12 Computational and Applied Mathematics 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Computational Physics 9 SIAM Journal on Matrix Analysis and Applications 8 Computational Optimization and Applications 7 International Journal of Computer Mathematics 5 BIT 5 Applied Mathematics Letters 5 Journal of Mathematical Sciences (New York) 4 Journal of Applied Mathematics and Computing 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 SIAM Journal on Optimization 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 2 Computers and Fluids 2 Computer Physics Communications 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Calcolo 2 Journal of Optimization Theory and Applications 2 SIAM Review 2 Journal of Mathematical Imaging and Vision 2 ETNA. Electronic Transactions on Numerical Analysis 2 Optimization Methods & Software 2 Optimization and Engineering 2 Computational Methods in Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Internet Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 2 Open Mathematics 2 Communications on Applied Mathematics and Computation 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 The Annals of Statistics 1 Computing 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Communications in Numerical Methods in Engineering 1 Applied and Computational Harmonic Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Filomat 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 Data Mining and Knowledge Discovery 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sādhanā 1 Optimization Letters 1 Networks and Heterogeneous Media 1 Inverse Problems and Imaging 1 Algorithms 1 Mathematical Programming Computation 1 Science China. Mathematics 1 Journal of Applied Mathematics & Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Applied Mathematics 1 Journal of Theoretical Biology 1 ISRN Computational Mathematics 1 Journal of Applied Analysis and Computation 1 Communications in Mathematics and Statistics 1 Journal of Dynamics and Games 1 East Asian Journal on Applied Mathematics 1 Special Matrices 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics 1 Information Geometry 1 Electronic Research Archive
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### Cited in 25 Fields

 312 Numerical analysis (65-XX) 81 Fluid mechanics (76-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 53 Partial differential equations (35-XX) 36 Computer science (68-XX) 31 Operations research, mathematical programming (90-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Combinatorics (05-XX) 11 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 10 Information and communication theory, circuits (94-XX) 6 Systems theory; control (93-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Associative rings and algebras (16-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX)