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Serbin, Steven M.

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Author ID: serbin.steven-m Recent zbMATH articles by "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

Publications by Year

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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
124
1997
Rational approximations of trigonometric matrices with application to second-order systems of differential equations. Zbl 0408.65047
Serbin, Steven M.
16
1979
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
13
1980
An algorithm for computing the matrix cosine. Zbl 0445.65023
Serbin, Steven M.; Blalock, Sybil A.
12
1980
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
10
1979
Cosine methods for second-order hyperbolic equations with time-dependent coefficients. Zbl 0595.65098
Bales, Laurence A.; Dougalis, Vassilios A.; Serbin, Steven M.
7
1985
Boundary flux estimates for elliptic problems by the perturbed variational method. Zbl 0338.65054
King, J. Th.; Serbin, St. M.
7
1976
A scheme for parallelizing certain algorithms for the linear inhomogeneous heat equation. Zbl 0746.65071
Serbin, Steven M.
6
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.
4
1988
Some cosine schemes for second-order systems of ODE’s with time-varying coefficients. Zbl 0578.65068
Serbin, Steven M.
4
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.
4
1982
On the superconvergence of Galerkin approximations to second-order hyperbolic equations. Zbl 0451.65077
Dougalis, Vassilios A.; Serbin, Steven M.
4
1980
Computational experiments and techniques for the penalty method with extrapolation. Zbl 0384.65057
King, J. Thomas; Serbin, Steven M.
4
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.
3
1988
On factoring a class of complex symmetric matrices without pivoting. Zbl 0463.65016
Serbin, Steven M.
3
1980
Some remarks on a class of rational approximations to the cosine. Zbl 0425.65006
Dougalis, Vassilios A.; Serbin, Steven M.
3
1980
Computational investigations of least-squares type methods for the approximate solution of boundary value problems. Zbl 0339.65060
Serbin, Steven M.
3
1975
Two-step hybrid methods for periodic initial value problems. Zbl 0642.65057
Voss, D. A.; Serbin, S. M.
2
1988
On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. Zbl 0473.65075
Dougalis, Vassilios A.; Serbin, Steven M.
2
1981
On a fourth-order unconditionally stable scheme for damped second-order systems. Zbl 0431.73071
Serbin, Steven M.
2
1980
A class of Rosenbrock-type schemes for second-order nonlinear systems of ordinary differential equations. Zbl 0634.65055
Goyal, S.; Serbin, S. M.
1
1987
On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems. Zbl 0456.73059
Serbin, Steven M.
1
1980
A high-order method for the approximate identification of the matrix of a linear differential system. Zbl 0323.93012
Serbin, Steven M.
1
1975
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
124
1997
A scheme for parallelizing certain algorithms for the linear inhomogeneous heat equation. Zbl 0746.65071
Serbin, Steven M.
6
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.
4
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.
3
1988
Two-step hybrid methods for periodic initial value problems. Zbl 0642.65057
Voss, D. A.; Serbin, S. M.
2
1988
A class of Rosenbrock-type schemes for second-order nonlinear systems of ordinary differential equations. Zbl 0634.65055
Goyal, S.; Serbin, S. M.
1
1987
Cosine methods for second-order hyperbolic equations with time-dependent coefficients. Zbl 0595.65098
Bales, Laurence A.; Dougalis, Vassilios A.; Serbin, Steven M.
7
1985
Some cosine schemes for second-order systems of ODE’s with time-varying coefficients. Zbl 0578.65068
Serbin, Steven M.
4
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.
4
1982
On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. Zbl 0473.65075
Dougalis, Vassilios A.; Serbin, Steven M.
2
1981
An approximation theorem for second-order evolution equations. Zbl 0445.65075
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
13
1980
An algorithm for computing the matrix cosine. Zbl 0445.65023
Serbin, Steven M.; Blalock, Sybil A.
12
1980
On the superconvergence of Galerkin approximations to second-order hyperbolic equations. Zbl 0451.65077
Dougalis, Vassilios A.; Serbin, Steven M.
4
1980
On factoring a class of complex symmetric matrices without pivoting. Zbl 0463.65016
Serbin, Steven M.
3
1980
Some remarks on a class of rational approximations to the cosine. Zbl 0425.65006
Dougalis, Vassilios A.; Serbin, Steven M.
3
1980
On a fourth-order unconditionally stable scheme for damped second-order systems. Zbl 0431.73071
Serbin, Steven M.
2
1980
On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems. Zbl 0456.73059
Serbin, Steven M.
1
1980
Rational approximations of trigonometric matrices with application to second-order systems of differential equations. Zbl 0408.65047
Serbin, Steven M.
16
1979
High order accurate two-step approximations for hyperbolic equations. Zbl 0411.65057
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M.
10
1979
Computational experiments and techniques for the penalty method with extrapolation. Zbl 0384.65057
King, J. Thomas; Serbin, Steven M.
4
1978
Boundary flux estimates for elliptic problems by the perturbed variational method. Zbl 0338.65054
King, J. Th.; Serbin, St. M.
7
1976
Computational investigations of least-squares type methods for the approximate solution of boundary value problems. Zbl 0339.65060
Serbin, Steven M.
3
1975
A high-order method for the approximate identification of the matrix of a linear differential system. Zbl 0323.93012
Serbin, Steven M.
1
1975
all top 5

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
all top 5

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

Citations by Year