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Author ID: stetter.hans-j Recent zbMATH articles by "Stetter, Hans J."
Published as: Stetter, Hans J.; Stetter, H. J.; Stetter, H.-J.
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Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 965 times in 784 Documents Cited by Year
Analysis of discretization methods for ordinary differential equations. Zbl 0276.65001
Stetter, Hans J.
216
1973
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
112
1978
Numerical polynomial algebra. Zbl 1058.65054
Stetter, Hans J.
82
2004
Generalized multistep predictor-corrector methods. Zbl 0168.13803
Gragg, W.; Stetter, H. J.
65
1964
Asymptotic expansions for the error of discretization algorithms for non- linear functional equations. Zbl 0148.39003
Stetter, H. J.
58
1965
An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. Zbl 0658.65047
Auzinger, W.; Stetter, H. J.
53
1988
The defect correction approach. Zbl 0551.65034
Böhmer, K.; Hemker, P.; Stetter, H. J.
36
1984
Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems. Zbl 0851.65029
Möller, H. Michael; Stetter, Hans J.
31
1995
Defect correction methods. Theory and applications. Zbl 0545.00019
22
1984
Matrix eigenproblems are at the heart of polynomial system solving. Zbl 1097.65530
Stetter, Hans J.
17
1996
Detection and validation of clusters of polynomial zeros. Zbl 0910.65030
Hribernig, V.; Stetter, H. J.
17
1997
The nearest polynomial with a given zero, and similar problems. Zbl 1097.65524
Stetter, Hans J.
13
1999
Symmetric two-step algorithms for ordinary differential equations. Zbl 0209.47001
Stetter, H. J.
13
1970
Local estimation of the global discretization error. Zbl 0226.65054
Stetter, Hans J.
13
1971
Global error estimation in ODE-Solvers. Zbl 0404.65041
Stetter, H. J.
13
1978
A classification and survey of numerical methods for boundary value problems in ordinary differential equations. Zbl 0359.65070
Aktas, Z.; Stetter, H. J.
12
1977
Numerical approximation of Fourier-transforms. Zbl 0163.39503
Stetter, H. J.
12
1966
On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations. Zbl 0104.10404
Stetter, Hans J.
12
1961
Zur numerischen Fourier-Transformation. Zbl 0096.10401
Bauer, F. L.; Stetter, H. J.
11
1959
A study of strong and weak stability in discretization algorithms. Zbl 0139.09901
Stetter, H. J.
10
1965
Stabilization of polynomial system solving with Groebner bases. Zbl 0928.68144
Stetter, Hans J.
10
1997
Global error estimation in Adams PC-codes. Zbl 0447.65040
Stetter, Hans J.
9
1979
Tolerance proportionality in ODE-codes. Zbl 0509.65037
Stetter, Hans J.
9
1981
Pseudofactors of multivariate polynomials. Zbl 1326.68356
Huang, Yuzhen; Wu, Wenda; Stetter, Hans J.; Zhi, Lihong
9
2000
Defect corrections and multigrid iterations. Zbl 0505.65039
Auzinger, W.; Stetter, H. J.
8
1982
Polynomials with coefficients of limited accuracy. Zbl 1072.65509
Stetter, Hans J.
8
1999
Improved absolute stability of predictor-corrector schemes. Zbl 0172.19502
Stetter, H. J.
8
1968
Numerische Lösung von Differentialgleichungen mit nacheilendem Argument. Zbl 0208.41703
Stetter, H. J.
8
1965
Stabilizing predictors for weakly unstable correctors. Zbl 0127.08302
Stetter, H. J.
6
1965
General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\). Zbl 0139.10802
Stetter, H. J.; Törnig, Willi
6
1963
Anwendung des Äquivalenzsatzes von P. Lax auf inhomogene Probleme. Zbl 0100.33303
Stetter, Hans J.
6
1959
Stability of nonlinear discretization algorithms. Zbl 0149.11603
Stetter, H. J.
5
1966
Analysis of zero clusters in multivariate polynomial systems. Zbl 0914.65053
Stetter, Hans J.
5
1996
Interpolation and error estimation in Adams PC-codes. Zbl 0405.65045
Stetter, Hans J.
5
1979
Maximum bounds for the solutions of initial value problems for partial difference equations. Zbl 0114.32503
Stetter, H. J.
4
1963
Towards a theory for discretizations of stiff differential systems. Zbl 0342.65045
Stetter, Hans J.
4
1976
Instability and non-monotonicity phenomena in discretizations to boundary value problems. Zbl 0176.14702
Stetter, H. J.
4
1968
Tolerance proportionality in ODE-codes. Zbl 0434.65048
Stetter, Hans J.
3
1979
Validation numerics: theory and applications. Dedicated to Ulrich Kulisch on the occasion of his 60th birthday. Zbl 0784.00013
3
1993
Vienna contributions to the development of RK-methods. Zbl 0870.65062
Auzinger, Winfried; Frank, Reinhard; Stetter, Hans J.
3
1996
Scientific computation with automatic result verification. (Based on papers presented at the conference on computer arithmetic and scientific computation held Sep. 30-Oct. 2, 1987 in Karlsruhe, FRG). Zbl 0646.00013
2
1988
Global error estimation in ordinary initial value problems. Zbl 0509.65036
Stetter, H. J.
2
1982
Sequential defect correction for high-accuracy floating-point algorithms. Zbl 0568.65027
Stetter, Hans J.
2
1984
Singular systems of polynomials. Zbl 0924.65042
Stetter, Hans J.; Thallinger, Günther H.
2
1998
Condition analysis of overdetermined algebraic problems. Zbl 0976.65050
Stetter, Hans J.
2
2000
Algorithms for the inclusion of solutions of ordinary initial value problems. Zbl 0622.65056
Stetter, H. J.
1
1986
On the error control in ODE solvers with local extrapolation. Zbl 0458.65064
Stetter, H. J.; Weinmüller, E.
1
1981
Eine Verallgemeinerung des Kármán-Moore-Verfahrens zur Berechnung der linearisierten Überschallströmung um schlanke Drehkörper. Zbl 0077.39302
Stetter, H. J.
1
1957
Accurate arithmetic results for decimal data on non-decimal computers. Zbl 0569.65034
Auzinger, W.; Stetter, H. J.
1
1985
Validated solution of initial value problems for ODE. Zbl 0732.65063
Stetter, Hans J.
1
1990
Verification in computer algebra systems. Zbl 0802.68070
Stetter, H. J.
1
1993
Tools for scientific computation. Zbl 0798.65095
Stetter, H. J.
1
1993
Special issue: Symbolic numeric algebra for polynomials. Zbl 0915.00021
1
1998
Farewell lecture. (Abschiedsvorlesung.) Zbl 0920.01018
Stetter, Hans J.
1
1998
Numerik für Informatiker. Computergerechte numerische Verfahren. Eine Einführung. Zbl 0334.65003
Stetter, Hans J.
1
1976
Proposal for population studies in numerical quadrature. Zbl 0339.65013
Stetter, Hans J.; Ueberhuber, Christoph W.
1
1975
On the maximal order in PC-codes. Zbl 0388.65033
Stetter, H. J.
1
1978
Multivariate polynomial equations as matrix eigenproblems. Zbl 0834.65039
Stetter, Hans J.
1
1993
Stabilitätsbereiche bei Diskretisierungsverfahren für Systeme gewöhnlicher Differentialgleichungen. Zbl 0176.15102
Stetter, H. J.
1
1968
Numerical polynomial algebra. Zbl 1058.65054
Stetter, Hans J.
82
2004
Pseudofactors of multivariate polynomials. Zbl 1326.68356
Huang, Yuzhen; Wu, Wenda; Stetter, Hans J.; Zhi, Lihong
9
2000
Condition analysis of overdetermined algebraic problems. Zbl 0976.65050
Stetter, Hans J.
2
2000
The nearest polynomial with a given zero, and similar problems. Zbl 1097.65524
Stetter, Hans J.
13
1999
Polynomials with coefficients of limited accuracy. Zbl 1072.65509
Stetter, Hans J.
8
1999
Singular systems of polynomials. Zbl 0924.65042
Stetter, Hans J.; Thallinger, Günther H.
2
1998
Special issue: Symbolic numeric algebra for polynomials. Zbl 0915.00021
1
1998
Farewell lecture. (Abschiedsvorlesung.) Zbl 0920.01018
Stetter, Hans J.
1
1998
Detection and validation of clusters of polynomial zeros. Zbl 0910.65030
Hribernig, V.; Stetter, H. J.
17
1997
Stabilization of polynomial system solving with Groebner bases. Zbl 0928.68144
Stetter, Hans J.
10
1997
Matrix eigenproblems are at the heart of polynomial system solving. Zbl 1097.65530
Stetter, Hans J.
17
1996
Analysis of zero clusters in multivariate polynomial systems. Zbl 0914.65053
Stetter, Hans J.
5
1996
Vienna contributions to the development of RK-methods. Zbl 0870.65062
Auzinger, Winfried; Frank, Reinhard; Stetter, Hans J.
3
1996
Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems. Zbl 0851.65029
Möller, H. Michael; Stetter, Hans J.
31
1995
Validation numerics: theory and applications. Dedicated to Ulrich Kulisch on the occasion of his 60th birthday. Zbl 0784.00013
3
1993
Verification in computer algebra systems. Zbl 0802.68070
Stetter, H. J.
1
1993
Tools for scientific computation. Zbl 0798.65095
Stetter, H. J.
1
1993
Multivariate polynomial equations as matrix eigenproblems. Zbl 0834.65039
Stetter, Hans J.
1
1993
Validated solution of initial value problems for ODE. Zbl 0732.65063
Stetter, Hans J.
1
1990
An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. Zbl 0658.65047
Auzinger, W.; Stetter, H. J.
53
1988
Scientific computation with automatic result verification. (Based on papers presented at the conference on computer arithmetic and scientific computation held Sep. 30-Oct. 2, 1987 in Karlsruhe, FRG). Zbl 0646.00013
2
1988
Algorithms for the inclusion of solutions of ordinary initial value problems. Zbl 0622.65056
Stetter, H. J.
1
1986
Accurate arithmetic results for decimal data on non-decimal computers. Zbl 0569.65034
Auzinger, W.; Stetter, H. J.
1
1985
The defect correction approach. Zbl 0551.65034
Böhmer, K.; Hemker, P.; Stetter, H. J.
36
1984
Defect correction methods. Theory and applications. Zbl 0545.00019
22
1984
Sequential defect correction for high-accuracy floating-point algorithms. Zbl 0568.65027
Stetter, Hans J.
2
1984
Defect corrections and multigrid iterations. Zbl 0505.65039
Auzinger, W.; Stetter, H. J.
8
1982
Global error estimation in ordinary initial value problems. Zbl 0509.65036
Stetter, H. J.
2
1982
Tolerance proportionality in ODE-codes. Zbl 0509.65037
Stetter, Hans J.
9
1981
On the error control in ODE solvers with local extrapolation. Zbl 0458.65064
Stetter, H. J.; Weinmüller, E.
1
1981
Global error estimation in Adams PC-codes. Zbl 0447.65040
Stetter, Hans J.
9
1979
Interpolation and error estimation in Adams PC-codes. Zbl 0405.65045
Stetter, Hans J.
5
1979
Tolerance proportionality in ODE-codes. Zbl 0434.65048
Stetter, Hans J.
3
1979
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
112
1978
Global error estimation in ODE-Solvers. Zbl 0404.65041
Stetter, H. J.
13
1978
On the maximal order in PC-codes. Zbl 0388.65033
Stetter, H. J.
1
1978
A classification and survey of numerical methods for boundary value problems in ordinary differential equations. Zbl 0359.65070
Aktas, Z.; Stetter, H. J.
12
1977
Towards a theory for discretizations of stiff differential systems. Zbl 0342.65045
Stetter, Hans J.
4
1976
Numerik für Informatiker. Computergerechte numerische Verfahren. Eine Einführung. Zbl 0334.65003
Stetter, Hans J.
1
1976
Proposal for population studies in numerical quadrature. Zbl 0339.65013
Stetter, Hans J.; Ueberhuber, Christoph W.
1
1975
Analysis of discretization methods for ordinary differential equations. Zbl 0276.65001
Stetter, Hans J.
216
1973
Local estimation of the global discretization error. Zbl 0226.65054
Stetter, Hans J.
13
1971
Symmetric two-step algorithms for ordinary differential equations. Zbl 0209.47001
Stetter, H. J.
13
1970
Improved absolute stability of predictor-corrector schemes. Zbl 0172.19502
Stetter, H. J.
8
1968
Instability and non-monotonicity phenomena in discretizations to boundary value problems. Zbl 0176.14702
Stetter, H. J.
4
1968
Stabilitätsbereiche bei Diskretisierungsverfahren für Systeme gewöhnlicher Differentialgleichungen. Zbl 0176.15102
Stetter, H. J.
1
1968
Numerical approximation of Fourier-transforms. Zbl 0163.39503
Stetter, H. J.
12
1966
Stability of nonlinear discretization algorithms. Zbl 0149.11603
Stetter, H. J.
5
1966
Asymptotic expansions for the error of discretization algorithms for non- linear functional equations. Zbl 0148.39003
Stetter, H. J.
58
1965
A study of strong and weak stability in discretization algorithms. Zbl 0139.09901
Stetter, H. J.
10
1965
Numerische Lösung von Differentialgleichungen mit nacheilendem Argument. Zbl 0208.41703
Stetter, H. J.
8
1965
Stabilizing predictors for weakly unstable correctors. Zbl 0127.08302
Stetter, H. J.
6
1965
Generalized multistep predictor-corrector methods. Zbl 0168.13803
Gragg, W.; Stetter, H. J.
65
1964
General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\). Zbl 0139.10802
Stetter, H. J.; Törnig, Willi
6
1963
Maximum bounds for the solutions of initial value problems for partial difference equations. Zbl 0114.32503
Stetter, H. J.
4
1963
On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations. Zbl 0104.10404
Stetter, Hans J.
12
1961
Zur numerischen Fourier-Transformation. Zbl 0096.10401
Bauer, F. L.; Stetter, H. J.
11
1959
Anwendung des Äquivalenzsatzes von P. Lax auf inhomogene Probleme. Zbl 0100.33303
Stetter, Hans J.
6
1959
Eine Verallgemeinerung des Kármán-Moore-Verfahrens zur Berechnung der linearisierten Überschallströmung um schlanke Drehkörper. Zbl 0077.39302
Stetter, H. J.
1
1957
all top 5

Cited by 962 Authors

15 Butcher, John C.
14 Auzinger, Winfried
11 Cash, Jeff R.
11 Stetter, Hans J.
10 Frank, Reinhard
9 Boyd, John Philip
9 Mourrain, Bernard
9 Spijker, Marc N.
9 Zhi, Lihong
8 Zlatev, Zahari
7 Enright, Wayne H.
7 Jeltsch, Rolf
7 Koch, Othmar
7 Kreuzer, Martin
7 Shampine, Lawrence Fred
7 Weinmüller, Ewa B.
6 Chan, Robert Peng Kong
6 He, Yinnian
6 Hemker, Pieter W.
6 Kulikov, Gennady Yur’evich
6 Sekigawa, Hiroshi
5 Fernández, Miguel Ángel
5 Gerdts, Matthias
5 Hairer, Ernst
5 Hu, Wenyu
5 Labovsky, Alexander E.
5 Parvaz, Reza
5 Sanz-Serna, Jesús María
5 Sauer, Tomas
5 Si, Zhiyong
5 Trenchea, Catalin
5 Überhuber, Christoph W.
5 Zarebnia, Mohammad
4 Aggul, Mustafa
4 Albrecht, Peter
4 Ansorge, Rainer
4 Batselier, Kim
4 Böhmer, Klaus
4 De Moor, Bart L. R.
4 Dreesen, Philippe
4 Duran, Angel
4 Grigorieff, Rolf Dieter
4 Hackbusch, Wolfgang
4 Higham, Desmond J.
4 Jator, Samuel N.
4 Kraaijevanger, J. F. B. M.
4 Mora, Teo
4 Nevanlinna, Olavi
4 Ramos, Higinio
4 Sendra, Juan Rafael
4 Sendra, Juana
4 Sommese, Andrew John
4 Szántó, Ágnes
4 Telen, Simon
4 Verschelde, Jan
4 Verwer, Jan G.
4 Wanner, Gerhard
4 Zeng, Zhonggang
3 Ahues, Mario Paul
3 Bagherzadeh, Amir Saboor
3 Burman, Erik
3 Burrage, Kevin
3 Ceria, Michela
3 Corless, Robert Malcolm
3 Dahlquist, Germund
3 De Lathauwer, Lieven
3 Deuflhard, Peter
3 Farhat, Charbel H.
3 Fassino, Claudia
3 Faugère, Jean-Charles
3 Feng, Yong
3 Guo, Ben-Yu
3 Hertling, Jörg
3 Ikhile, Monday Ndidi Oziegbe
3 Jackiewicz, Zdzislaw
3 Jankowski, Tadeusz
3 Koobus, Bruno
3 Layton, William J.
3 Li, Nan
3 Lichtblau, Daniel A.
3 Martens, Björn
3 McKee, Sean
3 Minion, Michael L.
3 Okuonghae, Robert I.
3 Pan, Victor Yakovlevich
3 Pérez-Díaz, Sonia
3 Qiu, Jingmei
3 Robbiano, Lorenzo
3 Roy, Christopher J.
3 Sasaki, Tateaki
3 Skeel, Robert D.
3 Sun, Geng
3 Vermeire, Brian C.
3 Vigo-Aguiar, Jesus
3 Walz, Guido
3 Weiner, Rüdiger
3 Wu, Wenyuan
3 Zhang, Jingzhong
2 Abdulganiy, Ridwanulahi Iyanda
2 Akinfenwa, Olusheye Aremu Akin
...and 862 more Authors
all top 5

Cited in 153 Serials

94 Numerische Mathematik
64 Journal of Computational and Applied Mathematics
50 Computing
42 Applied Numerical Mathematics
36 Journal of Symbolic Computation
31 BIT
28 Journal of Computational Physics
28 Applied Mathematics and Computation
27 Mathematics of Computation
25 Theoretical Computer Science
24 Computers & Mathematics with Applications
19 BIT. Nordisk Tidskrift for Informationsbehandling
15 Numerical Algorithms
14 Computer Methods in Applied Mechanics and Engineering
9 Applied Mathematics Letters
8 Journal of Mathematical Analysis and Applications
8 Journal of Scientific Computing
7 Journal of Pure and Applied Algebra
7 International Journal of Computer Mathematics
7 Linear Algebra and its Applications
6 Aplikace Matematiky
6 Mathematics in Computer Science
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Journal of Complexity
5 Communications in Computational Physics
4 Computers and Fluids
4 Computer Physics Communications
4 Mathematical Biosciences
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 SIAM Journal on Numerical Analysis
3 International Journal of Control
3 Linear and Multilinear Algebra
3 Automatica
3 Collectanea Mathematica
3 Mathematische Zeitschrift
3 RAIRO. Analyse Numérique
3 Systems & Control Letters
3 Journal of the Nigerian Mathematical Society
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Matrix Analysis and Applications
3 Applied Mathematical Modelling
3 Applicable Algebra in Engineering, Communication and Computing
3 SIAM Journal on Scientific Computing
3 Computational and Applied Mathematics
3 Reliable Computing
3 Journal of Mathematical Chemistry
3 Journal of Systems Science and Complexity
3 Journal of Applied Mathematics
3 Journal of Applied Mathematics and Computing
2 Bulletin of the Australian Mathematical Society
2 International Journal of Mathematical Education in Science and Technology
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Mathematics and Computers in Simulation
2 Monatshefte für Mathematik
2 SIAM Journal on Control and Optimization
2 Transactions of the American Mathematical Society
2 Journal of Global Optimization
2 Computational Mathematics and Mathematical Physics
2 Annals of Physics
2 Celestial Mechanics
2 Cybernetics and Systems Analysis
2 Applied and Computational Harmonic Analysis
2 Mathematical Problems in Engineering
2 Afrika Matematika
1 Applicable Analysis
1 Communications in Algebra
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Scandinavian Journal of Statistics
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Soviet Applied Mechanics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 Meccanica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Studia Logica
1 Computer Aided Geometric Design
1 Physica D
1 Journal of Computer Science and Technology
1 Information and Computation
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 Computational Mathematics and Modeling
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Computational Geometry & Applications
1 Computational Geometry
...and 53 more Serials
all top 5

Cited in 46 Fields

618 Numerical analysis (65-XX)
198 Ordinary differential equations (34-XX)
96 Partial differential equations (35-XX)
85 Commutative algebra (13-XX)
85 Computer science (68-XX)
66 Fluid mechanics (76-XX)
38 Algebraic geometry (14-XX)
33 Field theory and polynomials (12-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
25 Integral equations (45-XX)
24 Approximations and expansions (41-XX)
23 Biology and other natural sciences (92-XX)
17 Operations research, mathematical programming (90-XX)
16 Real functions (26-XX)
16 Operator theory (47-XX)
15 Dynamical systems and ergodic theory (37-XX)
15 Mechanics of deformable solids (74-XX)
14 Functions of a complex variable (30-XX)
13 Mechanics of particles and systems (70-XX)
12 Systems theory; control (93-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 History and biography (01-XX)
7 Number theory (11-XX)
7 Geophysics (86-XX)
4 Associative rings and algebras (16-XX)
4 Special functions (33-XX)
4 Probability theory and stochastic processes (60-XX)
4 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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