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## Serbin, Steven M.

Compute Distance To:
 Author ID: serbin.steven-m Published as: Serbin, S. M.; Serbin, St. M.; Serbin, Steve; Serbin, Steve M.; Serbin, Steven M.
 Documents Indexed: 27 Publications since 1975
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#### Co-Authors

 9 single-authored 8 Dougalis, Vassilios A. 3 Bales, Laurence A. 2 Baker, Garth A. 2 Karakashian, Ohannes A. 2 King, John-Thomas 1 Blalock, Sybil A. 1 Enright, Wayne H. 1 Fisher, Alan Lamont 1 Goyal, Som Prakash 1 Kirschner, Denise E. 1 Lenhart, Suzanne M. 1 Voss, David A.
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#### Serials

 4 Computers & Mathematics with Applications 4 Mathematics of Computation 4 SIAM Journal on Scientific and Statistical Computing 2 Journal of Mathematical Analysis and Applications 2 BIT 2 BIT. Nordisk Tidskrift for Informationsbehandling 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Biology 1 Applied Mathematics and Computation 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 RAIRO. Analyse Numérique 1 SIAM Journal on Numerical Analysis
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#### Fields

 25 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 7 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

23 Publications have been cited 236 times in 202 Documents Cited by Year
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
1997
Rational approximations of trigonometric matrices with application to second-order systems of differential equations. Zbl 0408.65047
Serbin, Steven M.
1979
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1980
An algorithm for computing the matrix cosine. Zbl 0445.65023
Serbin, Steven M.; Blalock, Sybil A.
1980
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1979
Cosine methods for second-order hyperbolic equations with time-dependent coefficients. Zbl 0595.65098
Bales, Laurence A.; Dougalis, Vassilios A.; Serbin, Steven M.
1985
Boundary flux estimates for elliptic problems by the perturbed variational method. Zbl 0338.65054
King, J. Th.; Serbin, St. M.
1976
A scheme for parallelizing certain algorithms for the linear inhomogeneous heat equation. Zbl 0746.65071
Serbin, Steven M.
1992
On the $$A_ 0$$-acceptability of rational approximations to the exponential function with only real poles. Zbl 0636.65089
Bales, Laurence A.; Karakashian, Ohannes A.; Serbin, Steven M.
1988
Some cosine schemes for second-order systems of ODE’s with time-varying coefficients. Zbl 0578.65068
Serbin, Steven M.
1985
On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations. Zbl 0488.73087
Dougalis, Vassilios A.; Serbin, Steven M.
1982
On the superconvergence of Galerkin approximations to second-order hyperbolic equations. Zbl 0451.65077
Dougalis, Vassilios A.; Serbin, Steven M.
1980
Computational experiments and techniques for the penalty method with extrapolation. Zbl 0384.65057
King, J. Thomas; Serbin, Steven M.
1978
On the stability of rational approximations to the cosine with only imaginary poles. Zbl 0658.65017
Bales, Laurence A.; Karakashian, Ohannes A; Serbin, Steve M.
1988
On factoring a class of complex symmetric matrices without pivoting. Zbl 0463.65016
Serbin, Steven M.
1980
Some remarks on a class of rational approximations to the cosine. Zbl 0425.65006
Dougalis, Vassilios A.; Serbin, Steven M.
1980
Computational investigations of least-squares type methods for the approximate solution of boundary value problems. Zbl 0339.65060
Serbin, Steven M.
1975
Two-step hybrid methods for periodic initial value problems. Zbl 0642.65057
Voss, D. A.; Serbin, S. M.
1988
On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. Zbl 0473.65075
Dougalis, Vassilios A.; Serbin, Steven M.
1981
On a fourth-order unconditionally stable scheme for damped second-order systems. Zbl 0431.73071
Serbin, Steven M.
1980
A class of Rosenbrock-type schemes for second-order nonlinear systems of ordinary differential equations. Zbl 0634.65055
Goyal, S.; Serbin, S. M.
1987
On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems. Zbl 0456.73059
Serbin, Steven M.
1980
A high-order method for the approximate identification of the matrix of a linear differential system. Zbl 0323.93012
Serbin, Steven M.
1975
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
1997
A scheme for parallelizing certain algorithms for the linear inhomogeneous heat equation. Zbl 0746.65071
Serbin, Steven M.
1992
On the $$A_ 0$$-acceptability of rational approximations to the exponential function with only real poles. Zbl 0636.65089
Bales, Laurence A.; Karakashian, Ohannes A.; Serbin, Steven M.
1988
On the stability of rational approximations to the cosine with only imaginary poles. Zbl 0658.65017
Bales, Laurence A.; Karakashian, Ohannes A; Serbin, Steve M.
1988
Two-step hybrid methods for periodic initial value problems. Zbl 0642.65057
Voss, D. A.; Serbin, S. M.
1988
A class of Rosenbrock-type schemes for second-order nonlinear systems of ordinary differential equations. Zbl 0634.65055
Goyal, S.; Serbin, S. M.
1987
Cosine methods for second-order hyperbolic equations with time-dependent coefficients. Zbl 0595.65098
Bales, Laurence A.; Dougalis, Vassilios A.; Serbin, Steven M.
1985
Some cosine schemes for second-order systems of ODE’s with time-varying coefficients. Zbl 0578.65068
Serbin, Steven M.
1985
On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations. Zbl 0488.73087
Dougalis, Vassilios A.; Serbin, Steven M.
1982
On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. Zbl 0473.65075
Dougalis, Vassilios A.; Serbin, Steven M.
1981
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1980
An algorithm for computing the matrix cosine. Zbl 0445.65023
Serbin, Steven M.; Blalock, Sybil A.
1980
On the superconvergence of Galerkin approximations to second-order hyperbolic equations. Zbl 0451.65077
Dougalis, Vassilios A.; Serbin, Steven M.
1980
On factoring a class of complex symmetric matrices without pivoting. Zbl 0463.65016
Serbin, Steven M.
1980
Some remarks on a class of rational approximations to the cosine. Zbl 0425.65006
Dougalis, Vassilios A.; Serbin, Steven M.
1980
On a fourth-order unconditionally stable scheme for damped second-order systems. Zbl 0431.73071
Serbin, Steven M.
1980
On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems. Zbl 0456.73059
Serbin, Steven M.
1980
Rational approximations of trigonometric matrices with application to second-order systems of differential equations. Zbl 0408.65047
Serbin, Steven M.
1979
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
1979
Computational experiments and techniques for the penalty method with extrapolation. Zbl 0384.65057
King, J. Thomas; Serbin, Steven M.
1978
Boundary flux estimates for elliptic problems by the perturbed variational method. Zbl 0338.65054
King, J. Th.; Serbin, St. M.
1976
Computational investigations of least-squares type methods for the approximate solution of boundary value problems. Zbl 0339.65060
Serbin, Steven M.
1975
A high-order method for the approximate identification of the matrix of a linear differential system. Zbl 0323.93012
Serbin, Steven M.
1975
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#### Cited by 349 Authors

 12 Serbin, Steven M. 6 Defez, Emilio 6 Dougalis, Vassilios A. 6 Imran, Mudassar 6 Schättler, Heinz Michael 5 Elaiw, Ahmed M. 5 Ibáñez González, Jacinto Javier 5 Kwon, Hee-Dae 5 Ledzewicz, Urszula 5 Sastre, Jorge 4 Agusto, Folashade B. 4 Banks, Harvey Thomas 4 Khan, Adnan Q. 4 Makridakis, Charalambos G. 3 Bales, Laurence A. 3 Grigorieva, Ellina V. 3 Hlaváček, Ivan 3 Jódar Sanchez, Lucas Antonio 3 Jung, Eunok 3 Khaliq, Abdul Q. M. 3 Kumar Roy, Priti 3 Lee, Jeehyun 3 Lenhart, Suzanne M. 3 Okosun, Kazeem Oare 3 Pang, Liuyong 3 Peinado, Jesús 3 Pritykin, D. A. 3 Rogava, Jemal L. 3 Silva, Cristiana J. 3 Stengel, Robert F. 3 Torres, Delfim Fernando Marado 3 Tsiklauri, Mikheil 3 Velichenko, Vladislav V. 3 Voss, David A. 3 Zaman, Gul 2 Al-Mohy, Awad H. 2 Ali, Nigar 2 Alonso, Pedro 2 Ansari, Ali R. 2 Baker, Garth A. 2 Bara, Ouassim 2 Bortz, David M. 2 Burrage, Kevin 2 Caetano, Marco Antonio Leonel 2 Chen, Borsen 2 Chuang, Yung-Jen 2 Croicu, Ana-Maria 2 Culshaw, Rebecca V. 2 Day, Judy D. 2 Dikhaminjia, Nana 2 Djouadi, Seddik M. 2 Farahi, Mohamad Hadi 2 Ghigliazza, Raffaele 2 Higham, Nicholas J. 2 Karakashian, Ohannes A. 2 Khailov, Evgenii N. 2 King, John-Thomas 2 Korobeinikov, Andrei 2 Krakovska, Olga 2 Liu, Kai 2 Liu, Sanhong 2 Makinde, Oluwole Daniel 2 Maurer, Helmut 2 Relton, Samuel D. 2 Ruan, Shigui 2 Ruiz, Pedro A. 2 Shah, Syed Touqeer Hussain 2 Sheng, Qin 2 Smith?, Robert Joseph 2 Song, Xinyu 2 Tran, Hien T. 2 Wahl, Lindi M. 2 Wan, Frederic Yui-Ming 2 Wu, Jianhong 2 Wu, Xinyuan 2 Xia, Xiaohua 2 Xiang, Huili 2 Xiao, Yanni 2 Zhang, Xinan 2 Zhao, Zhong 1 Abukhodair, B. 1 Adams, Benjamin M. 1 Afshar, Mehdi 1 Agarwal, Ravi P. 1 Aggarwala, B. D. 1 Ahmed, Shohel 1 Ahn, Inkyung 1 Ali, Mohsin 1 Alim, Abdul 1 Alonso-Jordá, Pedro 1 Al-saedi, Ahmed Eid Salem 1 Alshomrani, Ali Saleh 1 Alvarez-Ramirez, Jose 1 Attalah, Karima 1 Attili, Basem S. 1 Ayala, Victor 1 Barbero-Liñán, María 1 Barrett, John W. 1 Benyah, Francis 1 Béreux, Natacha ...and 249 more Authors
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#### Cited in 85 Serials

 12 Mathematical Biosciences 11 Computers & Mathematics with Applications 10 Applied Mathematics and Computation 10 Journal of Theoretical Biology 9 Bulletin of Mathematical Biology 8 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Biology 5 Applied Numerical Mathematics 5 Journal of Biological Systems 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematics of Computation 4 Numerische Mathematik 4 Nonlinear Analysis. Real World Applications 4 Computational & Mathematical Methods in Medicine 3 BIT 3 Optimal Control Applications & Methods 3 Journal of Scientific Computing 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 SIAM Journal on Scientific Computing 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 3 International Journal of Biomathematics 2 Journal of the Franklin Institute 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 Applications of Mathematics 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 BIT. Nordisk Tidskrift for Informationsbehandling 1 International Journal of Control 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Anais da Academia Brasileira de Ciências 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Aplikace Matematiky 1 Automatica 1 Biometrics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Kybernetes 1 Numerical Functional Analysis and Optimization 1 RAIRO. Analyse Numérique 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 Automation and Remote Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Computer and Systems Sciences International 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Journal of Computational Neuroscience 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Optimization Methods & Software 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 The ANZIAM Journal 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Journal of Computational Acoustics 1 GAMM-Mitteilungen 1 Frontiers of Mathematics in China 1 European Journal of Pure and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Asian Journal of Control 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields 1 ISRN Biomathematics 1 Journal of Nonlinear Dynamics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Cogent Mathematics
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#### Cited in 23 Fields

 119 Biology and other natural sciences (92-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 77 Numerical analysis (65-XX) 51 Ordinary differential equations (34-XX) 39 Partial differential equations (35-XX) 23 Systems theory; control (93-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 7 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)