Edit Profile (opens in new tab) Katz, I. Norman Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0487.65059Babuška, Ivo; Szabo, B. A.; Katz, I. N. 160 1981 Facility location in the presence of forbidden regions. I: Formulation and the case of Euclidean distance with one forbidden circle. Zbl 0451.90042Katz, I. Norman; Cooper, Leon 37 1981 Local convergence in Fermat’s problem. Zbl 0291.90069Katz, I. Norman 35 1974 A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain. Zbl 0628.65015Ying, Xingren; Katz, I. Norman 24 1988 On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001Katz, I. N. 17 1969 Bounds for eigenvalues and condition numbers in the \(p\)-version of the finite element method. Zbl 0907.65112Hu, Ning; Guo, Xian-Zhong; Katz, I. Norman 16 1998 Optimal location on a sphere. Zbl 0451.65046Katz, I. Norman; Cooper, Leon 15 1980 An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057Katz, I. Norman; Cooper, Leon 13 1974 Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113Katz, I. N.; Cooper, Leon 10 1976 Hierarchal finite elements and precomputed arrays. Zbl 0376.65043Rossow, M. P.; Katz, I. N. 10 1978 A simple reliable solver for all the roots of a nonlinear function in a given domain. Zbl 0683.65036Ying, Xingren; Katz, I. N. 9 1989 Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006Wette, R.; Katz, I. N.; Rodin, E. Y. 9 1974 The p-version of the finite element method for problems requiring \(C^ 1\)-continuity. Zbl 0602.65086Katz, I. Norman; Wang, Douglas W. 8 1985 Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P. 8 1978 Multi-\(p\) preconditioners. Zbl 0926.65046Hu, Ning; Guo, Xian-zhong; Katz, I. Norman 7 1997 A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem. Zbl 1189.90086Katz, I. Norman; Vogl, Steven R. 7 2010 A uniform formulation for the calculation of stress singularities in the plane elasticity of a wedge composed of multiple isotropic materials. Zbl 0625.73019Ying, X.; Katz, I. N. 6 1987 The Weber problem revisited. Zbl 0457.65044Cooper, Leon; Katz, I. Norman 6 1981 An iterative algorithm for solving Hamilton-Jacobi type equations. Zbl 0969.65084Markman, Jerry; Katz, I. Norman 6 2000 Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029Wette, R.; Katz, I. N.; Rodin, E. Y. 6 1974 h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064Wang, D. W.; Katz, I. N.; Szabo, B. A. 6 1984 Multi-\(p\) methods: Iterative algorithms for the \(p\)-version of the finite element analysis. Zbl 0836.65128Hu, Ning; Katz, I. Norman 5 1995 A parallel implementation of the \(p\)-version of the finite element method. Zbl 0857.65113Zhu, 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 0910.33012Panteliou, S. D.; Dimarogonas, A. D.; Katz, I. N. 4 1996 Implementation of a \(C^ 1\) triangular element based on the p-version of the finite element method. Zbl 0552.73061Wang, D. W.; Katz, I. N.; Szabo, B. A. 3 1984 Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M. 2 2005 Sequential linear-quadratic method for differential games with air combat applications. Zbl 1048.91016Mukai, 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 0111.29201Katz, I. N. 2 1961 Asymptotic behavior of solutions to some \(n\)th order linear differential equations. Zbl 0201.11702Katz, I. N. 2 1969 A parallel multi-\(p\) method. Zbl 0958.65113Guo, Xian-Zhong; Katz, I. N. 2 2000 Performance enhancement of the multi-\(p\) preconditioner. Zbl 0934.65040Guo, X.-Z.; Katz, I. N. 2 1998 Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041Katz, I. Norman; Franklin, Mark A.; Sen, A. 2 1977 Could the classical relativistic electron be a strange attractor? Zbl 1070.83501Horwitz, L. P.; Katz, N.; Oron, O. 1 2004 A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations. Zbl 0397.65050Mattione, R. P.; Katz, I. N.; Franklin, M. A. 1 1978 Block diagonal dominance for systems of nonlinear equations with application to load flow calculations in power systems. Zbl 0583.65028Ilić-Spong, Marija; Katz, I. Norman; Dai, Huizhu; Zaborszky, John 1 1984 Local feedback stabilization of large interconnected power systems in emergencies. Zbl 0464.93065Zaborszky, J.; Whang, K. W.; Prasad, K. V.; Katz, I. N. 1 1981 Integration of triangular finite elements containing corrective rational functions. Zbl 0344.65054Katz, Norman I. 1 1977 An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019Vyridis, D. G.; Panteliou, S. D.; Katz, I. N. 1 1999 A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem. Zbl 1189.90086Katz, I. Norman; Vogl, Steven R. 7 2010 Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M. 2 2005 Could the classical relativistic electron be a strange attractor? Zbl 1070.83501Horwitz, L. P.; Katz, N.; Oron, O. 1 2004 Sequential linear-quadratic method for differential games with air combat applications. Zbl 1048.91016Mukai, 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 0969.65084Markman, Jerry; Katz, I. Norman 6 2000 A parallel multi-\(p\) method. Zbl 0958.65113Guo, Xian-Zhong; Katz, I. N. 2 2000 An inverse convergence approach for arguments of Jacobian elliptic functions. Zbl 0942.65019Vyridis, 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 0907.65112Hu, Ning; Guo, Xian-Zhong; Katz, I. Norman 16 1998 Performance enhancement of the multi-\(p\) preconditioner. Zbl 0934.65040Guo, X.-Z.; Katz, I. N. 2 1998 Multi-\(p\) preconditioners. Zbl 0926.65046Hu, Ning; Guo, Xian-zhong; Katz, I. Norman 7 1997 A parallel implementation of the \(p\)-version of the finite element method. Zbl 0857.65113Zhu, 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 0910.33012Panteliou, S. D.; Dimarogonas, A. D.; Katz, I. N. 4 1996 Multi-\(p\) methods: Iterative algorithms for the \(p\)-version of the finite element analysis. Zbl 0836.65128Hu, Ning; Katz, I. Norman 5 1995 A simple reliable solver for all the roots of a nonlinear function in a given domain. Zbl 0683.65036Ying, 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 0628.65015Ying, 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 0625.73019Ying, X.; Katz, I. N. 6 1987 The p-version of the finite element method for problems requiring \(C^ 1\)-continuity. Zbl 0602.65086Katz, I. Norman; Wang, Douglas W. 8 1985 h- and p-version finite element analyses of a rhombic plate. Zbl 0537.73064Wang, D. W.; Katz, I. N.; Szabo, B. A. 6 1984 Implementation of a \(C^ 1\) triangular element based on the p-version of the finite element method. Zbl 0552.73061Wang, 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 0583.65028Ilić-Spong, Marija; Katz, I. Norman; Dai, Huizhu; Zaborszky, John 1 1984 The p-version of the finite element method. Zbl 0487.65059Babuška, Ivo; Szabo, B. A.; Katz, I. N. 160 1981 Facility location in the presence of forbidden regions. I: Formulation and the case of Euclidean distance with one forbidden circle. Zbl 0451.90042Katz, I. Norman; Cooper, Leon 37 1981 The Weber problem revisited. Zbl 0457.65044Cooper, Leon; Katz, I. Norman 6 1981 Local feedback stabilization of large interconnected power systems in emergencies. Zbl 0464.93065Zaborszky, J.; Whang, K. W.; Prasad, K. V.; Katz, I. N. 1 1981 Optimal location on a sphere. Zbl 0451.65046Katz, I. Norman; Cooper, Leon 15 1980 Hierarchal finite elements and precomputed arrays. Zbl 0376.65043Rossow, M. P.; Katz, I. N. 10 1978 Nodal variables for complete conforming finite elements of arbitrary polynomial order. Zbl 0402.73068Katz, I. Norman; Peano, Alberto G.; Rossow, Mark P. 8 1978 A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations. Zbl 0397.65050Mattione, R. P.; Katz, I. N.; Franklin, M. A. 1 1978 Optimally stable parallel predictors for Adams-Moulton correctors. Zbl 0374.65041Katz, I. Norman; Franklin, Mark A.; Sen, A. 2 1977 Integration of triangular finite elements containing corrective rational functions. Zbl 0344.65054Katz, Norman I. 1 1977 Optimal facility location for normally and exponentially distributed points. Zbl 0364.90113Katz, I. N.; Cooper, Leon 10 1976 Local convergence in Fermat’s problem. Zbl 0291.90069Katz, I. Norman 35 1974 An always-convergent numerical scheme for a random locational equilibrium problem. Zbl 0288.60057Katz, I. Norman; Cooper, Leon 13 1974 Stochastic processes for solid tumor kinetics. I: Surface-regulated growth. Zbl 0276.92006Wette, R.; Katz, I. N.; Rodin, E. Y. 9 1974 Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth. Zbl 0291.92029Wette, R.; Katz, I. N.; Rodin, E. Y. 6 1974 On the convergence of a numerical scheme for solving some locational equilibrium problems. Zbl 0187.18001Katz, I. N. 17 1969 Asymptotic behavior of solutions to some \(n\)th order linear differential equations. Zbl 0201.11702Katz, I. N. 2 1969 On the existence of weak solutions to linear partial differential equations. Zbl 0111.29201Katz, I. N. 2 1961 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year