## Katz, I. Norman

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 Author ID: katz.i-norman Published as: Katz, I. N.; Katz, I. Norman; Katz, Norman I. more...less Further Spellings: Katz, Israel Norman Homepage: https://source.wustl.edu/2019/01/obituary-i-norman-katz-senior-professor-of-elec... External Links: MGP · dblp
 Documents Indexed: 44 Publications since 1961 Reviewing Activity: 217 Reviews Co-Authors: 32 Co-Authors with 36 Joint Publications 418 Co-Co-Authors
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### Co-Authors

 5 single-authored 6 Cooper, Leon 4 Guo, Xianzhong 3 Franklin, Mark A. 3 Hu, Ning 3 Szabó, Barna Aladar 3 Wang, Douglas W. 3 Ying, Xingren 2 Arora, Jyoti 2 Bossarte, R. 2 He, Hua 2 Lu, Naiji 2 Markman, Jerry 2 Mukai, Hiro 2 Panteliou, S. D. 2 Rodin, Ervin Y. 2 Rossow, Mark P. 2 Schättler, Heinz Michael 2 Tu, Xinming 2 Wette, Reimut 2 Xia, Yinglin 2 Zaborszky, John 1 Babuška, Ivo 1 Chen, Tian 1 Chuang, Luhan 1 Dai, Huizhu 1 Dimarogonas, Andrew D. 1 Horwitz, Lawrence Paul 1 Ilic-Spong, Marija 1 Mattione, R. P. 1 Oron, O. 1 Ozcan, İ. A. 1 Peano, Alberto G. 1 Rinaldi, Paolo 1 Sawada, Yuichi 1 Sen, Amitava 1 Tanikawa, Akio 1 Tunay, İlker 1 Vogl, Steven R. 1 Vyridis, D. G. 1 Whang, Keh-Wen 1 Zhang, Hui 1 Zhu, Yimin
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### Serials

 10 Computers & Mathematics with Applications 5 SIAM Journal on Scientific Computing 4 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Numerical Analysis 2 Mathematical Biosciences 2 Mathematics of Computation 2 Journal of Applied Statistics 1 Computers and Structures 1 Journal of Mathematical Analysis and Applications 1 Automatica 1 Computing 1 Journal of Optimization Theory and Applications 1 Mathematical Programming 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Mathematical Modelling 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of Research of the National Bureau of Standards
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### Fields

 27 Numerical analysis (65-XX) 8 Partial differential equations (35-XX) 7 Operations research, mathematical programming (90-XX) 6 Mechanics of deformable solids (74-XX) 4 Probability theory and stochastic processes (60-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

38 Publications have been cited 450 times in 364 Documents Cited by Year
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
1981
Facility location in the presence of forbidden regions. I: Formulation and the case of Euclidean distance with one forbidden circle. Zbl 0451.90042
Katz, I. Norman; Cooper, Leon
1981
Local convergence in Fermat’s problem. Zbl 0291.90069
Katz, I. Norman
1974
A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain. Zbl 0628.65015
Ying, Xingren; Katz, I. Norman
1988
On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001
Katz, I. N.
1969
Bounds for eigenvalues and condition numbers in the $$p$$-version of the finite element method. Zbl 0907.65112
Hu, Ning; Guo, Xian-Zhong; Katz, I. Norman
1998
Optimal location on a sphere. Zbl 0451.65046
Katz, I. Norman; Cooper, Leon
1980
An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057
Katz, I. Norman; Cooper, Leon
1974
Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113
Katz, I. N.; Cooper, Leon
1976
Hierarchal finite elements and precomputed arrays. Zbl 0376.65043
Rossow, M. P.; Katz, I. N.
1978
A simple reliable solver for all the roots of a nonlinear function in a given domain. Zbl 0683.65036
Ying, Xingren; Katz, I. N.
1989
Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006
Wette, R.; Katz, I. N.; Rodin, E. Y.
1974
The p-version of the finite element method for problems requiring $$C^ 1$$-continuity. Zbl 0602.65086
Katz, I. Norman; Wang, Douglas W.
1985
Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068
Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P.
1978
Multi-$$p$$ preconditioners. Zbl 0926.65046
Hu, Ning; Guo, Xian-zhong; Katz, I. Norman
1997
A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem. Zbl 1189.90086
Katz, I. Norman; Vogl, Steven R.
2010
A uniform formulation for the calculation of stress singularities in the plane elasticity of a wedge composed of multiple isotropic materials. Zbl 0625.73019
Ying, X.; Katz, I. N.
1987
The Weber problem revisited. Zbl 0457.65044
Cooper, Leon; Katz, I. Norman
1981
An iterative algorithm for solving Hamilton-Jacobi type equations. Zbl 0969.65084
Markman, Jerry; Katz, I. Norman
2000
Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029
Wette, R.; Katz, I. N.; Rodin, E. Y.
1974
h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064
Wang, D. W.; Katz, I. N.; Szabo, B. A.
1984
Multi-$$p$$ methods: Iterative algorithms for the $$p$$-version of the finite element analysis. Zbl 0836.65128
Hu, Ning; Katz, I. Norman
1995
A parallel implementation of the $$p$$-version of the finite element method. Zbl 0857.65113
Zhu, Yimin; Katz, I. Norman
1996
Direct and inverse interpolation for Jacobian elliptic functions, zeta function of Jacobi and complete elliptic integrals of the second kind. Zbl 0910.33012
Panteliou, S. D.; Dimarogonas, A. D.; Katz, I. N.
1996
Implementation of a $$C^ 1$$ triangular element based on the p-version of the finite element method. Zbl 0552.73061
Wang, D. W.; Katz, I. N.; Szabo, B. A.
1984
Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017
Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M.
2005
Sequential linear-quadratic method for differential games with air combat applications. Zbl 1048.91016
Mukai, H.; Tanikawa, A.; Tunay, İ.; Ozcan, İ. A.; Katz, I. N.; Schättler, H.; Rinaldi, P.; Wang, G. J.; Yang, L.; Sawada, Y.
2003
On the existence of weak solutions to linear partial differential equations. Zbl 0111.29201
Katz, I. N.
1961
Asymptotic behavior of solutions to some $$n$$th order linear differential equations. Zbl 0201.11702
Katz, I. N.
1969
A parallel multi-$$p$$ method. Zbl 0958.65113
Guo, Xian-Zhong; Katz, I. N.
2000
Performance enhancement of the multi-$$p$$ preconditioner. Zbl 0934.65040
Guo, X.-Z.; Katz, I. N.
1998
Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041
Katz, I. Norman; Franklin, Mark A.; Sen, A.
1977
Could the classical relativistic electron be a strange attractor? Zbl 1070.83501
Horwitz, L. P.; Katz, N.; Oron, O.
2004
A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations. Zbl 0397.65050
Mattione, R. P.; Katz, I. N.; Franklin, M. A.
1978
Block diagonal dominance for systems of nonlinear equations with application to load flow calculations in power systems. Zbl 0583.65028
Ilić-Spong, Marija; Katz, I. Norman; Dai, Huizhu; Zaborszky, John
1984
Local feedback stabilization of large interconnected power systems in emergencies. Zbl 0464.93065
Zaborszky, J.; Whang, K. W.; Prasad, K. V.; Katz, I. N.
1981
Integration of triangular finite elements containing corrective rational functions. Zbl 0344.65054
Katz, Norman I.
1977
An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019
Vyridis, D. G.; Panteliou, S. D.; Katz, I. N.
1999
A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem. Zbl 1189.90086
Katz, I. Norman; Vogl, Steven R.
2010
Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017
Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M.
2005
Could the classical relativistic electron be a strange attractor? Zbl 1070.83501
Horwitz, L. P.; Katz, N.; Oron, O.
2004
Sequential linear-quadratic method for differential games with air combat applications. Zbl 1048.91016
Mukai, H.; Tanikawa, A.; Tunay, İ.; Ozcan, İ. A.; Katz, I. N.; Schättler, H.; Rinaldi, P.; Wang, G. J.; Yang, L.; Sawada, Y.
2003
An iterative algorithm for solving Hamilton-Jacobi type equations. Zbl 0969.65084
Markman, Jerry; Katz, I. Norman
2000
A parallel multi-$$p$$ method. Zbl 0958.65113
Guo, Xian-Zhong; Katz, I. N.
2000
An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019
Vyridis, D. G.; Panteliou, S. D.; Katz, I. N.
1999
Bounds for eigenvalues and condition numbers in the $$p$$-version of the finite element method. Zbl 0907.65112
Hu, Ning; Guo, Xian-Zhong; Katz, I. Norman
1998
Performance enhancement of the multi-$$p$$ preconditioner. Zbl 0934.65040
Guo, X.-Z.; Katz, I. N.
1998
Multi-$$p$$ preconditioners. Zbl 0926.65046
Hu, Ning; Guo, Xian-zhong; Katz, I. Norman
1997
A parallel implementation of the $$p$$-version of the finite element method. Zbl 0857.65113
Zhu, Yimin; Katz, I. Norman
1996
Direct and inverse interpolation for Jacobian elliptic functions, zeta function of Jacobi and complete elliptic integrals of the second kind. Zbl 0910.33012
Panteliou, S. D.; Dimarogonas, A. D.; Katz, I. N.
1996
Multi-$$p$$ methods: Iterative algorithms for the $$p$$-version of the finite element analysis. Zbl 0836.65128
Hu, Ning; Katz, I. Norman
1995
A simple reliable solver for all the roots of a nonlinear function in a given domain. Zbl 0683.65036
Ying, Xingren; Katz, I. N.
1989
A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain. Zbl 0628.65015
Ying, Xingren; Katz, I. Norman
1988
A uniform formulation for the calculation of stress singularities in the plane elasticity of a wedge composed of multiple isotropic materials. Zbl 0625.73019
Ying, X.; Katz, I. N.
1987
The p-version of the finite element method for problems requiring $$C^ 1$$-continuity. Zbl 0602.65086
Katz, I. Norman; Wang, Douglas W.
1985
h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064
Wang, D. W.; Katz, I. N.; Szabo, B. A.
1984
Implementation of a $$C^ 1$$ triangular element based on the p-version of the finite element method. Zbl 0552.73061
Wang, D. W.; Katz, I. N.; Szabo, B. A.
1984
Block diagonal dominance for systems of nonlinear equations with application to load flow calculations in power systems. Zbl 0583.65028
Ilić-Spong, Marija; Katz, I. Norman; Dai, Huizhu; Zaborszky, John
1984
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
1981
Facility location in the presence of forbidden regions. I: Formulation and the case of Euclidean distance with one forbidden circle. Zbl 0451.90042
Katz, I. Norman; Cooper, Leon
1981
The Weber problem revisited. Zbl 0457.65044
Cooper, Leon; Katz, I. Norman
1981
Local feedback stabilization of large interconnected power systems in emergencies. Zbl 0464.93065
Zaborszky, J.; Whang, K. W.; Prasad, K. V.; Katz, I. N.
1981
Optimal location on a sphere. Zbl 0451.65046
Katz, I. Norman; Cooper, Leon
1980
Hierarchal finite elements and precomputed arrays. Zbl 0376.65043
Rossow, M. P.; Katz, I. N.
1978
Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068
Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P.
1978
A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations. Zbl 0397.65050
Mattione, R. P.; Katz, I. N.; Franklin, M. A.
1978
Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041
Katz, I. Norman; Franklin, Mark A.; Sen, A.
1977
Integration of triangular finite elements containing corrective rational functions. Zbl 0344.65054
Katz, Norman I.
1977
Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113
Katz, I. N.; Cooper, Leon
1976
Local convergence in Fermat’s problem. Zbl 0291.90069
Katz, I. Norman
1974
An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057
Katz, I. Norman; Cooper, Leon
1974
Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006
Wette, R.; Katz, I. N.; Rodin, E. Y.
1974
Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029
Wette, R.; Katz, I. N.; Rodin, E. Y.
1974
On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001
Katz, I. N.
1969
Asymptotic behavior of solutions to some $$n$$th order linear differential equations. Zbl 0201.11702
Katz, I. N.
1969
On the existence of weak solutions to linear partial differential equations. Zbl 0111.29201
Katz, I. N.
1961
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### Cited by 608 Authors

 17 Katz, I. Norman 9 Babuška, Ivo 7 Rank, Ernst 6 Ainsworth, Mark 6 Guo, Benqi 6 Jiang, Jianlin 6 Klamroth, Kathrin 6 Okabe, Masayuki 6 Suri, Manil 5 Brimberg, Jack 5 Carey, Graham Francis 5 Flaherty, Joseph E. 5 Kollmannsberger, Stefan 4 Barragy, E. J. 4 Cooper, Leon 4 Oden, John Tinsley 4 Potier-Ferry, Michel 4 Shephard, Mark S. 4 Surana, Karan S. 4 Szabó, Barna Aladar 3 Aras, Necati 3 Batta, Rajan 3 Canbolat, Mustafa S. 3 Chen, Reuven 3 Dey, Saikat 3 Díaz Martín, Juan Carlos 3 Drezner, Zvi 3 García Zapata, Juan-Luis 3 Guo, Xianzhong 3 Melenk, Jens Markus 3 Nagi, Rakesh 3 Paszyński, Maciej 3 Rapetti, Francesca 3 Reddy, Junuthula Narasimha 3 Šolín, Pavel 3 Stephan, Ernst Peter 3 Süral, Haldun 3 Vogelius, Michael S. 3 Wesolowsky, George Orest 3 Ying, Xingren 3 Zhang, Su 2 Allmaras, Steven R. 2 Aragón, Alejandro M. 2 Arthurs, Christopher J. 2 Banks, Harvey Thomas 2 Barrera-Figueroa, Victor 2 Bercovier, Michel 2 Bhavanari, Satyanarayana 2 Bischoff, Martin 2 Bishop, Martin J. 2 Calo, Victor Manuel 2 Carrera, Erasmo 2 Cheng, Kun 2 Chinosi, Claudia 2 Chu, Yuming 2 Darmofal, David L. 2 Davis, M. B. 2 Dehghan Takht Fooladi, Mehdi 2 Demkowicz, Leszek F. 2 Durmaz, Engin 2 Düster, Alexander 2 Eckhardt, Ulrich 2 Ewing, Richard Edward 2 Faustmann, Markus 2 Fish, Jacob 2 Fleck, Norman A. 2 Franco, C. Valero 2 Galbraith, Marshall C. 2 Houmat, Abderrahim 2 Iyigun, Cem 2 Jacobi, Arie 2 Jiang, Shuai 2 Kikuchi, Noboru 2 Koutsawa, Yao 2 Kravchenko, Vladislav V. 2 Love, Robert F. 2 Luis, Martino 2 Lv, Yibing 2 Mackerle, Jaroslav 2 Maggelakis, Sophia A. 2 Markolefas, Stilianos 2 Mazzieri, Ilario 2 Mcelwain, D. L. Sean 2 Milner, Fabio Augusto 2 Miyagawa, Masashi 2 Molchanov, Igor N. 2 Nagy, Gábor 2 Oh, Hae-Soo 2 Özkısacık, Kerem Can 2 Pardo, David 2 Pasquetti, Richard 2 Patrikalakis, Nicholas M. 2 Pavarino, Luca Franco 2 Peano, Alberto G. 2 Qian, Weimao 2 Quarteroni, Alfio M. 2 Rabinovich, Vladimir Samuilovich 2 Raju, K. V. L. P. 2 Rodriguez-Chia, Antonio M. 2 Sabouri, Mania ...and 508 more Authors
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### Cited in 114 Serials

 54 Computer Methods in Applied Mechanics and Engineering 26 Computers & Mathematics with Applications 17 European Journal of Operational Research 15 Computers & Operations Research 14 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 12 Numerische Mathematik 9 Journal of Computational Physics 8 Computational Mechanics 7 Applied Numerical Mathematics 6 Mathematics of Computation 6 International Journal for Numerical Methods in Engineering 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Mathematical and Computer Modelling 5 Journal of Optimization Theory and Applications 5 Mathematical Programming 5 Operations Research Letters 5 Journal of Scientific Computing 5 Annals of Operations Research 4 Mathematical Biosciences 4 Computational Optimization and Applications 4 European Journal of Mechanics. A. Solids 4 Journal of Industrial and Management Optimization 3 Computing 3 Mathematics and Computers in Simulation 3 Opsearch 3 Journal of Complexity 3 Mathematical Programming. Series A. Series B 3 International Journal for Computational Methods in Engineering Science and Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Bulletin of Mathematical Biology 2 Automatica 2 Calcolo 2 Proceedings of the American Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 Numerical Algorithms 2 Communications in Numerical Methods in Engineering 2 Numerical Linear Algebra with Applications 2 Top 2 Engineering Analysis with Boundary Elements 2 Abstract and Applied Analysis 2 Engineering Computations 2 Archives of Computational Methods in Engineering 2 OR Spectrum 2 International Journal of Computational Methods 1 Acta Mechanica 1 Applicable Analysis 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 International Journal of Systems Science 1 Information Processing Letters 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 BIT 1 Fuzzy Sets and Systems 1 Journal of Approximation Theory 1 Journal of Mathematical Psychology 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Cybernetics 1 OR Spektrum 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Physica D 1 Social Choice and Welfare 1 Optimization 1 ACM Transactions on Graphics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 International Journal of Adaptive Control and Signal Processing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Archive of Applied Mechanics 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 International Journal of Shape Modeling 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 RAIRO. Operations Research 1 Computational Methods in Applied Mathematics ...and 14 more Serials
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### Cited in 34 Fields

 205 Numerical analysis (65-XX) 100 Operations research, mathematical programming (90-XX) 81 Partial differential equations (35-XX) 79 Mechanics of deformable solids (74-XX) 29 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 11 Ordinary differential equations (34-XX) 9 Optics, electromagnetic theory (78-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Functions of a complex variable (30-XX) 8 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Functional analysis (46-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)