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Banks, Stephen Paul

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Author ID: banks.stephen-paul Recent zbMATH articles by "Banks, Stephen Paul"
Published as: Banks, Stephen P.; Banks, S. P.; Banks, Stephen Paul
Documents Indexed: 107 Publications since 1977, including 4 Books
1 Contribution as Editor
Reviewing Activity: 232 Reviews
Co-Authors: 19 Co-Authors with 28 Joint Publications
344 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 182 times in 151 Documents Cited by Year
Chaos in a three-dimensional cancer model. Zbl 1183.34064
Itik, Mehmet; Banks, Stephen P.
51
2010
Nonlinear optimal tracking control with application to super-tankers for autopilot design. Zbl 1059.93505
Çimen, Tayfun; Banks, Stephen P.
28
2004
Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria. Zbl 1157.49313
Çimen, Tayfun; Banks, Stephen P.
23
2004
Optimal control and stabilization for nonlinear systems. Zbl 0773.49018
Banks, S. P.; Mhana, K. J.
17
1992
On a class of suboptimal controls for infinite-dimensional bilinear systems. Zbl 0573.93026
Banks, S. P.; Yew, M. K.
16
1985
State-space and frequency-domain methods in the control of distributed parameter systems. Zbl 0575.93037
Banks, Stephen P.
13
1983
Approximate optimal control and stability of nonlinear finite- and infinite-dimensional systems. Zbl 0989.49004
Banks, S. P.; Dinesh, K.
12
2000
Mathematical theories of nonlinear systems. Zbl 0699.58001
Banks, Stephen Paul
10
1988
On the generation of infinite-dimensional bilinear systems and Volterra series. Zbl 0614.93029
Banks, S. P.
10
1985
Linear, time-varying approximations to nonlinear dynamical systems. With applications in control and optimization. Zbl 1257.93024
Tomás-Rodríguez, Maria; Banks, Stephen P.
10
2010
Stabilizability of finite- and infinite-dimensional bilinear systems. Zbl 0631.93051
Banks, S. P.
9
1986
A note on non-linear observers. Zbl 0466.93013
Banks, S. P.
9
1981
Lie algebras, structure of nonlinear systems and chaotic motion. Zbl 0996.37035
Banks, S. P.; McCaffrey, D.
9
1998
On the optimal control of nonlinear systems. Zbl 0582.93030
Banks, S. P.
9
1986
On the optimal control of bilinear systems and its relation to Lie algebras. Zbl 0585.93030
Banks, S. P.; Yew, M. K.
9
1986
Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory. Zbl 1017.93029
Tomas-Rodriguez, M.; Banks, S. P.
8
2003
Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation. Zbl 1042.93503
Banks, S. P.
8
2001
Lie algebras and the stability of nonlinear systems. Zbl 0809.93051
Banks, S. P.; Al-Jurani, S. K.
8
1994
Three-dimensional stratifications, knots and bifurcations of two-dimensional dynamical systems. Zbl 1044.37034
Banks, S. P.
6
2002
Linear and bilinear infinite-dimensional representations of finite- dimensional non-linear systems. Zbl 0577.93007
Banks, S. P.; Ashtiani, A.
6
1985
Structure and control of piecewise-linear systems. Zbl 0688.93010
Banks, S. P.; Khathur, Saadi A.
6
1989
Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations. Zbl 0760.34009
Banks, S. P.
5
1992
A separation theorem for nonlinear systems. Zbl 1162.93402
Kilicaslan, Sinan; Banks, Stephen P.
5
2009
On the structure of real-valued one-dimensional cellular automata. Zbl 1248.37018
Xu, Xu; Banks, Stephen P.; Mahfouf, Mahdi
5
2011
A generalized frequency response for nonlinear systems. Zbl 0649.93014
Banks, S. P.; Chanane, B.
4
1988
Realization theory and the infinite-dimensional root locus. Zbl 0512.93016
Banks, S. P.; Abbasi-Ghelmansarai, F.
4
1983
Lagrangian manifolds, viscosity solutions and Maslov index. Zbl 0998.49017
McCaffrey, D.; Banks, S. P.
4
2002
Nonlinear delay systems, Lie algebras and Lyapunov transformations. Zbl 1112.93328
Banks, S. P.
4
2002
Observer design for nonlinear systems using linear approximations. Zbl 1044.93010
Navarro Hernandez, C.; Banks, S. P.; Aldeen, M.
4
2003
Robust \(H^{\infty}\) control of uncertain nonlinear dynamical systems via linear time-varying approximations. Zbl 1224.93042
Fahmy, S. F. F.; Banks, S. P.
4
2005
Control systems engineering. Modelling and simulation, control theory and microprocessor implementation. Zbl 0594.93001
Banks, Stephen P.
4
1986
Analysis and structure of a new chaotic system. Zbl 1192.37039
Banks, S. P.
4
1999
On the dynamical behavior of cellular automata. Zbl 1168.37303
Xu, Xu; Song, Yi; Banks, Stephen P.
4
2009
Generalization of the Lyapunov equation to nonlinear systems. Zbl 0643.93047
Banks, S. P.
3
1988
Non-local stabilization of nonlinear systems using switching manifolds. Zbl 1080.93595
Banks, S. P.; Salamci, M. U.; McCaffrey, D.
3
2000
Lagrangian manifolds and asymptotically optimal stabilizing feedback control. Zbl 1032.49036
McCaffrey, D.; Banks, S. P.
3
2001
Nonlinear input-output maps for bilinear systems and stability. Zbl 0696.93012
Chanane, B.; Banks, S. P.
3
1989
On the stability analysis of nonlinear systems. Zbl 0745.93058
Banks, S. P.; Yi, Zhang
2
1991
\(k\)-exponential stability of nonlinear delay systems. Zbl 0755.93039
Zhang, Yi; Banks, S. P.
2
1992
Stability of non-linearly interconnected systems and the small gain theorem. Zbl 0439.93049
Banks, S. P.; Collingwood, P. C.
2
1979
Delay equations, the left-shift operator and the infinite-dimensional root locus. Zbl 0513.34077
Banks, S. P.; Abbasi-Ghelmansarai, F.
2
1983
Almost radially-invariant systems containing arbitrary knots and links. Zbl 1099.37014
Banks, S. P.; Diaz, D.
2
2004
On non-linear systems and algebraic geometry. Zbl 0594.93037
Banks, S. P.
2
1985
Elliptic and automorphic dynamical systems on surfaces. Zbl 1111.37033
Banks, S. P.; Yi, Song
2
2006
Robust exponential stability of evolution equations. Zbl 0848.93051
Banks, S. P.; Moser, A.; McCaffrey, D.
2
1995
Pseudo-linear systems, Lie algebras, and stability. Zbl 0863.93072
Banks, S. P.; Al-Jurani, S. K.
2
1996
Geometric existence theory for the control-affine nonlinear optimal regulator. Zbl 1141.49320
McCaffrey, D.; Banks, S. P.
2
2005
Bilinear systems in the frequency domain and an application to optimal control. Zbl 0674.93031
Banks, S. P.; Iddir, N.
2
1989
On the structure of periodic orbits on a simple branched manifold. Zbl 1208.34037
Itik, Mehmet; Banks, Stephen P.
2
2010
The receding horizon principle for distributed systems. Zbl 0518.93033
Banks, S. P.
2
1983
Branched manifolds, knotted surfaces and dynamical systems. Zbl 1165.37308
Chen, W.; Banks, S. P.
2
2008
Optimal control of chaos in nonlinear driven oscillators via linear time-varying approximations. Zbl 1165.49300
Hugues-Salas, O.; Banks, S. P.
2
2008
Stability of nonlinear analytic delay equations. Zbl 0823.93049
Yi, Zhang; Banks, S. P.
2
1994
Sliding mode control for a class of non-affine nonlinear systems. Zbl 1238.93068
Tombul, G. Serdar; Banks, Stephen P.; Akturk, Nizami
2
2009
On the equivalent bilinearization of non-linear controlled delay systems. Zbl 0606.93038
Banks, S. P.
1
1986
An abstract setting for non-linear distributed multi-pass processes. Zbl 0466.34041
Banks, S. P.
1
1981
Controllability and optimal control of partial differential equations on compact manifolds. Zbl 0537.93044
Banks, S. P.
1
1984
On the control of partial differential equations and algebraic geometry. Zbl 0584.93036
Banks, S. P.
1
1985
Tensor operators and limit cycles in nonlinear systems. Zbl 0589.58017
Banks, S. P.
1
1986
Non-linear systems and Kolmogorov’s representation theorem. Zbl 0723.93032
Banks, S. P.
1
1991
Stable controller design for T–S fuzzy systems based on Lie algebras. Zbl 1082.93025
Banks, Stephen P.; Gürkan, Evren; Erkmen, İsmet
1
2005
On frequency response for nonlinear systems. Zbl 0850.93346
Banks, S. P.; Chanane, B.
1
1992
The Lie algebra of a nonlinear dynamical system and its application to control. Zbl 1175.93097
Banks, S. P.
1
2001
Authors’ reply to: “Comment on “nonlinear optimal tracking control with application to super-tankers for autopilot design””. Zbl 1104.93024
Çimen, Tayfun; Banks, Stephen P.
1
2006
An iterative approach to eigenvalue assignment for nonlinear systems. Zbl 1278.93128
Tomas-Rodriguez, M.; Banks, S. P.
1
2013
Control of nonlinear functional differential equations. Zbl 1238.93064
Du, Chunyan; Xu, Xu; Banks, S. P.; Wu, Aiguo
1
2009
An iterative approach to eigenvalue assignment for nonlinear systems. Zbl 1278.93128
Tomas-Rodriguez, M.; Banks, S. P.
1
2013
On the structure of real-valued one-dimensional cellular automata. Zbl 1248.37018
Xu, Xu; Banks, Stephen P.; Mahfouf, Mahdi
5
2011
Chaos in a three-dimensional cancer model. Zbl 1183.34064
Itik, Mehmet; Banks, Stephen P.
51
2010
Linear, time-varying approximations to nonlinear dynamical systems. With applications in control and optimization. Zbl 1257.93024
Tomás-Rodríguez, Maria; Banks, Stephen P.
10
2010
On the structure of periodic orbits on a simple branched manifold. Zbl 1208.34037
Itik, Mehmet; Banks, Stephen P.
2
2010
A separation theorem for nonlinear systems. Zbl 1162.93402
Kilicaslan, Sinan; Banks, Stephen P.
5
2009
On the dynamical behavior of cellular automata. Zbl 1168.37303
Xu, Xu; Song, Yi; Banks, Stephen P.
4
2009
Sliding mode control for a class of non-affine nonlinear systems. Zbl 1238.93068
Tombul, G. Serdar; Banks, Stephen P.; Akturk, Nizami
2
2009
Control of nonlinear functional differential equations. Zbl 1238.93064
Du, Chunyan; Xu, Xu; Banks, S. P.; Wu, Aiguo
1
2009
Branched manifolds, knotted surfaces and dynamical systems. Zbl 1165.37308
Chen, W.; Banks, S. P.
2
2008
Optimal control of chaos in nonlinear driven oscillators via linear time-varying approximations. Zbl 1165.49300
Hugues-Salas, O.; Banks, S. P.
2
2008
Elliptic and automorphic dynamical systems on surfaces. Zbl 1111.37033
Banks, S. P.; Yi, Song
2
2006
Authors’ reply to: “Comment on “nonlinear optimal tracking control with application to super-tankers for autopilot design””. Zbl 1104.93024
Çimen, Tayfun; Banks, Stephen P.
1
2006
Robust \(H^{\infty}\) control of uncertain nonlinear dynamical systems via linear time-varying approximations. Zbl 1224.93042
Fahmy, S. F. F.; Banks, S. P.
4
2005
Geometric existence theory for the control-affine nonlinear optimal regulator. Zbl 1141.49320
McCaffrey, D.; Banks, S. P.
2
2005
Stable controller design for T–S fuzzy systems based on Lie algebras. Zbl 1082.93025
Banks, Stephen P.; Gürkan, Evren; Erkmen, İsmet
1
2005
Nonlinear optimal tracking control with application to super-tankers for autopilot design. Zbl 1059.93505
Çimen, Tayfun; Banks, Stephen P.
28
2004
Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria. Zbl 1157.49313
Çimen, Tayfun; Banks, Stephen P.
23
2004
Almost radially-invariant systems containing arbitrary knots and links. Zbl 1099.37014
Banks, S. P.; Diaz, D.
2
2004
Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory. Zbl 1017.93029
Tomas-Rodriguez, M.; Banks, S. P.
8
2003
Observer design for nonlinear systems using linear approximations. Zbl 1044.93010
Navarro Hernandez, C.; Banks, S. P.; Aldeen, M.
4
2003
Three-dimensional stratifications, knots and bifurcations of two-dimensional dynamical systems. Zbl 1044.37034
Banks, S. P.
6
2002
Lagrangian manifolds, viscosity solutions and Maslov index. Zbl 0998.49017
McCaffrey, D.; Banks, S. P.
4
2002
Nonlinear delay systems, Lie algebras and Lyapunov transformations. Zbl 1112.93328
Banks, S. P.
4
2002
Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation. Zbl 1042.93503
Banks, S. P.
8
2001
Lagrangian manifolds and asymptotically optimal stabilizing feedback control. Zbl 1032.49036
McCaffrey, D.; Banks, S. P.
3
2001
The Lie algebra of a nonlinear dynamical system and its application to control. Zbl 1175.93097
Banks, S. P.
1
2001
Approximate optimal control and stability of nonlinear finite- and infinite-dimensional systems. Zbl 0989.49004
Banks, S. P.; Dinesh, K.
12
2000
Non-local stabilization of nonlinear systems using switching manifolds. Zbl 1080.93595
Banks, S. P.; Salamci, M. U.; McCaffrey, D.
3
2000
Analysis and structure of a new chaotic system. Zbl 1192.37039
Banks, S. P.
4
1999
Lie algebras, structure of nonlinear systems and chaotic motion. Zbl 0996.37035
Banks, S. P.; McCaffrey, D.
9
1998
Pseudo-linear systems, Lie algebras, and stability. Zbl 0863.93072
Banks, S. P.; Al-Jurani, S. K.
2
1996
Robust exponential stability of evolution equations. Zbl 0848.93051
Banks, S. P.; Moser, A.; McCaffrey, D.
2
1995
Lie algebras and the stability of nonlinear systems. Zbl 0809.93051
Banks, S. P.; Al-Jurani, S. K.
8
1994
Stability of nonlinear analytic delay equations. Zbl 0823.93049
Yi, Zhang; Banks, S. P.
2
1994
Optimal control and stabilization for nonlinear systems. Zbl 0773.49018
Banks, S. P.; Mhana, K. J.
17
1992
Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations. Zbl 0760.34009
Banks, S. P.
5
1992
\(k\)-exponential stability of nonlinear delay systems. Zbl 0755.93039
Zhang, Yi; Banks, S. P.
2
1992
On frequency response for nonlinear systems. Zbl 0850.93346
Banks, S. P.; Chanane, B.
1
1992
On the stability analysis of nonlinear systems. Zbl 0745.93058
Banks, S. P.; Yi, Zhang
2
1991
Non-linear systems and Kolmogorov’s representation theorem. Zbl 0723.93032
Banks, S. P.
1
1991
Structure and control of piecewise-linear systems. Zbl 0688.93010
Banks, S. P.; Khathur, Saadi A.
6
1989
Nonlinear input-output maps for bilinear systems and stability. Zbl 0696.93012
Chanane, B.; Banks, S. P.
3
1989
Bilinear systems in the frequency domain and an application to optimal control. Zbl 0674.93031
Banks, S. P.; Iddir, N.
2
1989
Mathematical theories of nonlinear systems. Zbl 0699.58001
Banks, Stephen Paul
10
1988
A generalized frequency response for nonlinear systems. Zbl 0649.93014
Banks, S. P.; Chanane, B.
4
1988
Generalization of the Lyapunov equation to nonlinear systems. Zbl 0643.93047
Banks, S. P.
3
1988
Stabilizability of finite- and infinite-dimensional bilinear systems. Zbl 0631.93051
Banks, S. P.
9
1986
On the optimal control of nonlinear systems. Zbl 0582.93030
Banks, S. P.
9
1986
On the optimal control of bilinear systems and its relation to Lie algebras. Zbl 0585.93030
Banks, S. P.; Yew, M. K.
9
1986
Control systems engineering. Modelling and simulation, control theory and microprocessor implementation. Zbl 0594.93001
Banks, Stephen P.
4
1986
On the equivalent bilinearization of non-linear controlled delay systems. Zbl 0606.93038
Banks, S. P.
1
1986
Tensor operators and limit cycles in nonlinear systems. Zbl 0589.58017
Banks, S. P.
1
1986
On a class of suboptimal controls for infinite-dimensional bilinear systems. Zbl 0573.93026
Banks, S. P.; Yew, M. K.
16
1985
On the generation of infinite-dimensional bilinear systems and Volterra series. Zbl 0614.93029
Banks, S. P.
10
1985
Linear and bilinear infinite-dimensional representations of finite- dimensional non-linear systems. Zbl 0577.93007
Banks, S. P.; Ashtiani, A.
6
1985
On non-linear systems and algebraic geometry. Zbl 0594.93037
Banks, S. P.
2
1985
On the control of partial differential equations and algebraic geometry. Zbl 0584.93036
Banks, S. P.
1
1985
Controllability and optimal control of partial differential equations on compact manifolds. Zbl 0537.93044
Banks, S. P.
1
1984
State-space and frequency-domain methods in the control of distributed parameter systems. Zbl 0575.93037
Banks, Stephen P.
13
1983
Realization theory and the infinite-dimensional root locus. Zbl 0512.93016
Banks, S. P.; Abbasi-Ghelmansarai, F.
4
1983
Delay equations, the left-shift operator and the infinite-dimensional root locus. Zbl 0513.34077
Banks, S. P.; Abbasi-Ghelmansarai, F.
2
1983
The receding horizon principle for distributed systems. Zbl 0518.93033
Banks, S. P.
2
1983
A note on non-linear observers. Zbl 0466.93013
Banks, S. P.
9
1981
An abstract setting for non-linear distributed multi-pass processes. Zbl 0466.34041
Banks, S. P.
1
1981
Stability of non-linearly interconnected systems and the small gain theorem. Zbl 0439.93049
Banks, S. P.; Collingwood, P. C.
2
1979
all top 5

Cited by 272 Authors

12 Banks, Stephen Paul
4 Çimen, Tayfun
4 Duarte, Jorge A.
4 Januário, Cristina
4 Krzyżak, Adam
4 Sardanyés, Josep
4 Uǧuz, Selman
4 Wei, Hsiu-Chuan
3 Akin, Hasan
3 Chanane, Bilal
3 Clairon, Quentin
3 Das, Parthasakha
3 Das, Pritha
3 Denis, Fabrice
3 Letellier, Christophe
3 López, Álvaro G.
3 Rodrigues, Carla
3 Sanjuán, Miguel A. F.
3 Seoane, Jesús M.
3 Tang, Gongyou
2 Acar, Ecem
2 Atangana, Jacques
2 Balakrishnan, S. N.
2 Du, Chunyan
2 Gashi, Bujar
2 Ghosh, Dibakar
2 Gninzanlong, Carlos Lawrence
2 Gravner, Janko
2 Heydari, Ali Akbar
2 Itik, Mehmet
2 Kemwoue, Florent Feudjio
2 Kostin, Georgy Viktorovich
2 Li, Jr-Shin
2 Liu, Xiaochen
2 Mukherjee, Sayan
2 Naik, Parvaiz Ahmad
2 Néda, Zoltán
2 Owolabi, Kolade Matthew
2 Partyka, Marian A.
2 Samson, Adeline
2 Starkov, Konstantin E.
2 Stojanovic, Vladimir Marko
2 Tomas-Rodriguez, Maria
2 Tombul, G. Serdar
2 Viger, Louise
2 Wang, Shuo
2 Xu, Xu
2 Yi, Zhang
2 Zhang, Weihai
2 Zhang, Yi
2 Zu, Jian
1 Abernethy, Sam
1 Aguirre, Luis Antonio
1 Ahmad, Salman
1 Ahmad, Shabir
1 Akgül, Ali
1 Akturk, Nizami
1 Al-Chalabi, Lamya A.
1 Alzabut, Jehad O.
1 Aqeel, Muhammad
1 Atangana, Abdon
1 Balasubramaniam, Pagavathigounder
1 Barabanov, Nikita E.
1 Bashkirtseva, Irina Adol’fovna
1 Bernal, Miguel Angel
1 Betancourt-Mar, Juvencio Alberto
1 Biya-Motto, Frederick
1 Bonyah, Ebenezer
1 Borah, Manashita
1 Bounkhel, Messaoud
1 Brunton, Steven L.
1 Byrne, Helen Mary
1 Calderón-Saavedra, Pablo Emilio
1 Carpenter, Forrest L.
1 Chang, Yu
1 Chen, Borsen
1 Cherry, Elizabeth M.
1 Chodnicki, Marcin
1 Cizmas, Paul G. A.
1 Cocho, Germinal
1 Coria, Luis N.
1 Correia Ramos, Carlos
1 Danca, Marius-Florin
1 Das, Debanita
1 Dauphin-Tanguy, Geneviève
1 Dedzo, Mireille Mbou
1 Deli, Vandi
1 Dhakshinamoorthy, Vignesh
1 Djordjevic, Vladimir
1 Dongo, Jean Marie
1 Draghi, Clément
1 Dukuza, Kenneth
1 Edima, Hélène Carole
1 Fahmy, S. F. F.
1 Fan, Ming-Qu
1 Fatmawati, Fatmawati
1 Feng, Changyang
1 Feng, Wei
1 Feng, Zhihong
1 Fenton, Flavio H.
...and 172 more Authors
all top 5

Cited in 59 Serials

18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 International Journal of Control
11 Automatica
10 International Journal of Systems Science
8 Chaos, Solitons and Fractals
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Physica A
6 Journal of Theoretical Biology
4 Journal of the Franklin Institute
4 Applied Mathematics and Computation
4 Systems & Control Letters
4 Chaos
3 Mathematical Problems in Engineering
2 International Journal of Robust and Nonlinear Control
2 Journal of Computer and Systems Sciences International
2 Abstract and Applied Analysis
2 International Journal of Biomathematics
2 Journal of Applied Nonlinear Dynamics
1 Biological Cybernetics
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Rocky Mountain Journal of Mathematics
1 Information Sciences
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 SIAM Journal on Control and Optimization
1 Optimal Control Applications & Methods
1 Neural Networks
1 Numerical Algorithms
1 Computational Statistics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Archives of Control Sciences
1 The Electronic Journal of Combinatorics
1 Journal of Computational Neuroscience
1 Electronic Journal of Probability
1 Nonlinear Dynamics
1 Mathematical and Computer Modelling of Dynamical Systems
1 Statistical Inference for Stochastic Processes
1 Acta Mathematica Sinica. English Series
1 Nonlinear Analysis. Modelling and Control
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 JMMA. Journal of Mathematical Modelling and Algorithms
1 Journal of Applied Mathematics and Computing
1 Journal of Control Theory and Applications
1 Stochastics
1 Journal of Biological Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Technological Sciences
1 Asian Journal of Control
1 Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Journal of Linear and Topological Algebra
1 Nonlinear Analysis. Theory, Methods & Applications
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 AIMS Mathematics

Citations by Year