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Katz, I. Norman

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Author ID: katz.i-norman Recent zbMATH articles by "Katz, I. Norman"
Published as: Katz, I. N.; Katz, I. Norman; Katz, I.
Homepage: https://source.wustl.edu/2019/01/obituary-i-norman-katz-senior-professor-of-elec...
External Links: MGP · dblp
Documents Indexed: 41 Publications since 1961
Reviewing Activity: 217 Reviews

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 416 times in 342 Documents Cited by Year
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
147
1981
Local convergence in Fermat’s problem. Zbl 0291.90069
Katz, I. Norman
35
1974
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
30
1981
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
24
1988
On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001
Katz, I. N.
17
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
14
1998
Optimal location on a sphere. Zbl 0451.65046
Katz, I. Norman; Cooper, Leon
13
1980
An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057
Katz, I. Norman; Cooper, Leon
12
1974
Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113
Katz, I. N.; Cooper, Leon
10
1976
Hierarchal finite elements and precomputed arrays. Zbl 0376.65043
Rossow, M. P.; Katz, I. N.
10
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.
9
1989
Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006
Wette, R.; Katz, I. N.; Rodin, E. Y.
8
1974
The p-version of the finite element method for problems requiring \(C^ 1\)-continuity. Zbl 0602.65086
Katz, I. Norman; Wang, Douglas W.
8
1985
Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068
Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P.
8
1978
Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029
Wette, R.; Katz, I. N.; Rodin, E. Y.
6
1974
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.
6
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.
6
1987
The Weber problem revisited. Zbl 0457.65044
Cooper, Leon; Katz, I. Norman
6
1981
Multi-\(p\) preconditioners. Zbl 0926.65046
Hu, Ning; Guo, Xian-zhong; Katz, I. Norman
5
1997
An iterative algorithm for solving Hamilton-Jacobi type equations. Zbl 0969.65084
Markman, Jerry; Katz, I. Norman
5
2000
Multi-\(p\) methods: Iterative algorithms for the \(p\)-version of the finite element analysis. Zbl 0836.65128
Hu, Ning; Katz, I. Norman
5
1995
h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064
Wang, D. W.; Katz, I. N.; Szabo, B. A.
5
1984
A parallel implementation of the \(p\)-version of the finite element method. Zbl 0857.65113
Zhu, Yimin; Katz, I. Norman
4
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.
3
1984
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.
3
1996
Performance enhancement of the multi-\(p\) preconditioner. Zbl 0934.65040
Guo, X.-Z.; Katz, I. N.
2
1998
A parallel multi-\(p\) method. Zbl 0958.65113
Guo, Xian-Zhong; Katz, I. N.
2
2000
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.
2
2003
On the existence of weak solutions to linear partial differential equations. Zbl 0111.29201
Katz, I. N.
2
1961
Asymptotic behavior of solutions to some \(n\)th order linear differential equations. Zbl 0201.11702
Katz, I. N.
2
1969
Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041
Katz, I. Norman; Franklin, Mark A.; Sen, A.
2
1977
An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019
Vyridis, D. G.; Panteliou, S. D.; Katz, I. N.
1
1999
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.
1
2005
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
1
1984
A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations. Zbl 0397.65050
Mattione, R. P.; Katz, I. N.; Franklin, M. A.
1
1978
Local feedback stabilization of large interconnected power systems in emergencies. Zbl 0464.93065
Zaborszky, J.; Whang, K. W.; Prasad, K. V.; Katz, I. N.
1
1981
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.
6
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.
1
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.
2
2003
An iterative algorithm for solving Hamilton-Jacobi type equations. Zbl 0969.65084
Markman, Jerry; Katz, I. Norman
5
2000
A parallel multi-\(p\) method. Zbl 0958.65113
Guo, Xian-Zhong; Katz, I. N.
2
2000
An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019
Vyridis, D. G.; Panteliou, S. D.; Katz, I. N.
1
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
14
1998
Performance enhancement of the multi-\(p\) preconditioner. Zbl 0934.65040
Guo, X.-Z.; Katz, I. N.
2
1998
Multi-\(p\) preconditioners. Zbl 0926.65046
Hu, Ning; Guo, Xian-zhong; Katz, I. Norman
5
1997
A parallel implementation of the \(p\)-version of the finite element method. Zbl 0857.65113
Zhu, Yimin; Katz, I. Norman
4
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.
3
1996
Multi-\(p\) methods: Iterative algorithms for the \(p\)-version of the finite element analysis. Zbl 0836.65128
Hu, Ning; Katz, I. Norman
5
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.
9
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
24
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.
6
1987
The p-version of the finite element method for problems requiring \(C^ 1\)-continuity. Zbl 0602.65086
Katz, I. Norman; Wang, Douglas W.
8
1985
h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064
Wang, D. W.; Katz, I. N.; Szabo, B. A.
5
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.
3
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
1
1984
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
147
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
30
1981
The Weber problem revisited. Zbl 0457.65044
Cooper, Leon; Katz, I. Norman
6
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.
1
1981
Optimal location on a sphere. Zbl 0451.65046
Katz, I. Norman; Cooper, Leon
13
1980
Hierarchal finite elements and precomputed arrays. Zbl 0376.65043
Rossow, M. P.; Katz, I. N.
10
1978
Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068
Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P.
8
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.
1
1978
Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041
Katz, I. Norman; Franklin, Mark A.; Sen, A.
2
1977
Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113
Katz, I. N.; Cooper, Leon
10
1976
Local convergence in Fermat’s problem. Zbl 0291.90069
Katz, I. Norman
35
1974
An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057
Katz, I. Norman; Cooper, Leon
12
1974
Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006
Wette, R.; Katz, I. N.; Rodin, E. Y.
8
1974
Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029
Wette, R.; Katz, I. N.; Rodin, E. Y.
6
1974
On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001
Katz, I. N.
17
1969
Asymptotic behavior of solutions to some \(n\)th order linear differential equations. Zbl 0201.11702
Katz, I. N.
2
1969
On the existence of weak solutions to linear partial differential equations. Zbl 0111.29201
Katz, I. N.
2
1961
all top 5

Cited by 554 Authors

17 Katz, I. Norman
9 Babuška, Ivo
6 Ainsworth, Mark
6 Guo, Benqi
6 Klamroth, Kathrin
6 Okabe, Masayuki
6 Suri, Manil
5 Brimberg, Jack
5 Carey, Graham Francis
5 Flaherty, Joseph E.
5 Jiang, Jianlin
5 Rank, Ernst
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 García Zapata, Juan-Luis
3 Guo, Xianzhong
3 Kollmannsberger, Stefan
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
2 Allmaras, Steven R.
2 Aragón, Alejandro M.
2 Arthurs, Christopher J.
2 Banks, Harvey Thomas
2 Barrera-Figueroa, Victor
2 Bercovier, Michel
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 Drezner, Zvi
2 Durmaz, Engin
2 Eckhardt, Ulrich
2 Ewing, Richard Edward
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 Mackerle, Jaroslav
2 Maggelakis, Sophia A.
2 Markolefas, Stilianos
2 Mazzieri, Ilario
2 Mcelwain, D. L. Sean
2 Melenk, Jens Markus
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
2 Sakkalis, Takis
2 Saleh Farham, Mohammad
2 Salhi, Said
2 Sarrate, Josep
2 Scapolla, Terenzio
2 Schillinger, Dominik
...and 454 more Authors
all top 5

Cited in 109 Serials

53 Computer Methods in Applied Mechanics and Engineering
23 Computers & Mathematics with Applications
16 European Journal of Operational Research
14 Applied Mathematics and Computation
14 Journal of Computational and Applied Mathematics
14 Computers & Operations Research
12 Numerische Mathematik
7 Journal of Computational Physics
7 Applied Numerical Mathematics
7 Computational Mechanics
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 Annals of Operations Research
4 Mathematical Biosciences
4 Journal of Scientific Computing
4 Computational Optimization and Applications
3 Computing
3 Mathematics and Computers in Simulation
3 Opsearch
3 Journal of Complexity
3 Mathematical Programming. Series A. Series B
3 European Journal of Mechanics. A. Solids
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
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 Applied Mathematics and Optimization
1 BIT
1 Fuzzy Sets and Systems
1 Journal of Approximation Theory
1 Journal of Mathematical Psychology
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 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
1 OR Spectrum
1 Journal of Numerical Mathematics
1 Journal of Applied Mathematics and Computing
1 International Journal of Computational Methods
1 Discrete Optimization
1 Journal of Industrial and Management Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
...and 9 more Serials

Citations by Year