# zbMATH — the first resource for mathematics

## Karasözen, Bülent

Compute Distance To:
 Author ID: karasozen.bulent Published as: Karasozen, B.; Karasozen, Bulent; Karasözen, B.; Karasözen, Bulent; Karasözen, Bülent Homepage: http://users.metu.edu.tr/bulent/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 95 Publications since 1983, including 7 Books Reviewing Activity: 236 Reviews
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#### Co-Authors

 12 single-authored 14 Tsybulin, Vyacheslav G. 14 Uzunca, Murat 7 Aydin, Ayhan 7 Yücel, Hamdullah 5 Akman, Tuğba 5 Küçükseyhan, Tuğba 4 Ergenç, Tanil 4 Loginov, Boris Vladimirovich 3 Bagirov, Adil M. 3 Konopleva, Irìna Viktorovna 3 Nemtsev, Andrew D. 3 Sarıaydın-Filibelioğlu, Ayşe 3 Şimşek, Görkem 3 Somali, Sennur 3 Uğur, Ömür 3 Yapici, Kerim 3 Yilmaz, Fikriye Nuray 2 Biegler, Lorenz T. 2 Kanar Seymen, Z. 2 Kaplan, Uğur 2 Manguoglu, Murat 2 Piskarëv, S. I. 2 Rentrop, Peter 2 Schäfer, Michael 2 Trofimova, Anastasia V. 2 Turkay, Metin 2 Weber, Gerhard-Wilhelm 1 Akkoyunlu, Canan 1 Akman Yıldız, Tuğba 1 Brown, Lawrence Michael 1 Bulgak, Haydar 1 Çelebi, Okay A. 1 Devroye, Luc P. J. A. 1 Dress, Andreas W. M. 1 Dür, Mirjam 1 Elgindy, Kareem T. 1 Ercan, Gülin 1 Erdem, Ozan 1 Göktepe, Serdar 1 Goncharov, Alexander P. 1 Govorukhin, Vasily N. 1 Guidetti, Davide 1 Hankel, Marlies 1 Heinkenschloss, Matthias 1 Kaptanoğlu, T. 1 Karasözen, Ezgi 1 Kohler, Michael 1 Korkmaz, Mustafa 1 Korn, Ralf 1 Orhan, Cihan 1 Özban, Ahmet Yasar 1 Schmitt, Uwe 1 Seymen, Zahire 1 Sezer, M. Ö. 1 Stadler, Peter F. 1 Tezer-Sezgin, Munevver 1 Tezer, Cem 1 Tiraş, Yücel 1 Tor, Ali Hakan 1 Ugon, Julien 1 Uludag, Yusuf 1 Wagner, Yvonne 1 Webb, Dean 1 Zafer, Ağacık 1 Zenger, Christoph
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#### Serials

 6 Journal of Computational and Applied Mathematics 5 International Journal of Computer Mathematics 5 TWMS Journal of Applied and Engineering Mathematics 4 Computers & Mathematics with Applications 4 Physics Letters. A 3 Computer Physics Communications 3 Applied Mathematics and Computation 2 Discrete Applied Mathematics 2 Journal of Mathematical Physics 2 Optimal Control Applications & Methods 2 Applied Numerical Mathematics 2 European Journal of Operational Research 2 Mathematical Modelling of Systems 2 GEM - International Journal on Geomathematics 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Optimization Theory and Applications 1 Karadeniz University Mathematical Journal 1 Optimization 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Karadeniz Technical University. Series of Mathematics-Physics 1 Annals of Operations Research 1 Journal of Non-Newtonian Fluid Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 INFORMS Journal on Computing 1 PAA. Pattern Analysis and Applications 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Doğa. Turkish Journal of Mathematics 1 Selçuk Journal of Applied Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 International Journal of Computational Methods 1 Journal of Industrial and Management Optimization 1 Lecture Notes in Computational Science and Engineering 1 International Journal of Mathematical Modelling and Numerical Optimisation 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 63 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Fluid mechanics (76-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Operations research, mathematical programming (90-XX) 7 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

59 Publications have been cited 264 times in 206 Documents Cited by Year
Discrete gradient method: Derivative-free method for nonsmooth optimization. Zbl 1165.90021
Bagirov, A. M.; Karasözen, B.; Sezer, M.
2008
Approximation of abstract differential equations. Zbl 1111.47063
Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei
2004
Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions. Zbl 1196.65139
Aydın, A.; Karasözen, B.
2007
Finite difference approximations and cosymmetry conservation in filtration-convection problem. Zbl 0958.76060
Karasözen, B.; Tsybulin, V. G.
1999
Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076
Yücel, H.; Heinkenschloss, M.; Karasözen, B.
2013
Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1308.35249
Karasözen, Bülent; Şimşek, Görkem
2013
Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation. Zbl 1152.35467
Aydın, A.; Karasözen, B.
2008
Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Zbl 1302.65258
Yücel, Hamdullah; Karasözen, Bülent
2014
Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions. Zbl 1165.65084
Aydin, Ayhan; Karasözen, Bülent
2009
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. Zbl 1387.35353
Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat
2017
Optimal control of convective FitzHugh-Nagumo equation. Zbl 1373.65045
Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent
2017
A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Zbl 1301.49072
Akman, Tuğba; Yücel, Hamdullah; Karasözen, Bülent
2014
Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations. Zbl 1293.49065
Akman, Tuğba; Karasözen, Bülent
2014
Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics. Zbl 1220.65080
Yılmaz, Fikriye; Karasözen, Bülent
2011
A finite difference approximation for cosymmetry preservation in filtration-convection problem. Zbl 0993.76056
Karasözen, B.; Tsybulin, V. G.
2000
Model order reduction for nonlinear Schrödinger equation. Zbl 1339.65123
Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat
2015
Multisymplectic box schemes for the complex modified Korteweg-de Vries equation. Zbl 1312.35149
Aydın, A.; Karasözen, B.
2010
Mimetic discretization of two-dimensional Darcy convection. Zbl 1196.76044
Karasözen, B.; Tsybulin, V. G.
2005
Poisson integrators. Zbl 1074.65145
Karasözen, B.
2004
Conservative finite difference schemes for cosymmetric systems. Zbl 0988.65068
Karasözen, Bülent; Tsybulin, Vyacheslav G.
2001
Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173
Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah
2018
Energy stable model order reduction for the Allen-Cahn equation. Zbl 06861112
Uzunca, Murat; Karasözen, Bülent
2017
Aggregate codifferential method for nonsmooth DC optimization. Zbl 1314.90090
Tor, Ali Hakan; Bagirov, Adil; Karasözen, Bülent
2014
An all-at-once approach for the optimal control of the unsteady Burgers equation. Zbl 1318.49052
Yılmaz, Fikriye; Karasözen, Bülent
2014
Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Zbl 1278.49036
Kanar Seymen, Z.; Yücel, H.; Karasözen, B.
2014
Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity. Zbl 1274.76140
Yapici, Kerim; Karasozen, Bulent; Uludag, Yusuf
2009
Cosymmetry preserving finite-difference methods for convection equations in a porous medium. Zbl 1236.76040
Karasözen, B.; Tsybulin, V. G.
2005
Composite integrators for bi-Hamiltonian systems. Zbl 0873.58033
Karasözen, B.
1996
Energy preserving model order reduction of the nonlinear Schrödinger equation. Zbl 1404.65310
Karasözen, Bülent; Uzunca, Murat
2018
Reduced order optimal control using proper orthogonal decomposition sensitivities. Zbl 1328.65141
Akman, Tuğba; Karasözen, Bülent
2015
Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. Zbl 1220.65176
Aydın, A.; Karasözen, B.
2011
Destruction of the family of steady states in the planar problem of Darcy convection. Zbl 1223.76109
Tsybulin, V. G.; Karasözen, B.
2008
Staggered grids discretization in three-dimensional Darcy convection. Zbl 1196.76079
Karasözen, B.; Nemtsev, A. D.; Tsybulin, V. G.
2008
Cosymmetric families of steady states in Darcy convection and their collision. Zbl 1118.81377
Karasözen, B.; Tsybulin, V. G.
2004
Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008
Karasözen, B.; Konopleva, I.; Loginov, B.
2003
Dynamics of numerical methods for cosymmetric ordinary differential equations. Zbl 1091.65508
Govorukhin, V. N.; Tsybulin, V. G.; Karasözen, B.
2001
Modified iterative methods for linear systems of equations. Zbl 0926.65034
Karasözen, B.; Özban, A. Y.
1998
Runge-Kutta methods for Hamiltonian systems in non-standard symplectic two-form. Zbl 0891.65089
Karasözen, B.
1998
Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039
Ergenç, T.; Karasözen, B.; Piskarev, S.
1997
An error analysis of iterated defect correction methods for linear differential-algebraic equations. Zbl 1001.65528
Karasözen, B.; Somali, Ş.
1996
Reduced order optimal control of the convective FitzHugh-Nagumo equations. Zbl 1448.49038
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba
2020
Moving mesh discontinuous Galerkin methods for PDEs with traveling waves. Zbl 1410.65382
Uzunca, M.; Karasözen, B.; Küçükseyhan, T.
2017
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026
Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat
2017
Space-time discontinuous Galerkin methods for optimal control problems governed by time dependent diffusion-convection-reaction equations. Zbl 1337.65050
Akman, Tuğba; Karasözen, Bülent
2015
Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163
Karasözen, Bülent; Uzunca, Murat
2014
Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1291.35291
Karasözen, B.; Şimşek, G.
2013
Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. Zbl 1268.76041
Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G.
2012
Energy preserving integration of KdV-KdV systems. Zbl 1261.65132
Karasözen, B.; Şimşek, G.
2012
Natural convection in porous annular domains: Mimetic scheme and family of steady states. Zbl 1386.76113
Karasözen, Bülent; Trofimova, Anastasia V.; Tsybulin, Vyacheslav G.
2012
Recent developments in applied probability and statistics. Dedicated to the memory of Jürgen Lehn. Zbl 1192.60004
Devroye, Luc (ed.); Karasözen, Bülent (ed.); Kohler, Michael (ed.); Korn, Ralf (ed.)
2010
Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010
Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B.
2009
Special issue: Networks in computational biology. Papers based on the workshop, Ankara, Turkey, September 10–12, 2006. Zbl 1204.92036
Dress, Andreas (ed.); Karasözen, Bülent (ed.); Stadler, Peter F. (ed.); Weber, Gerhard-Wilhelm (ed.)
2009
Derivative free optimization methods for optimizing stirrer configurations. Zbl 1160.90664
Uğur, Ö.; Karasözen, B.; Schäfer, M.; Yapıcı, K.
2008
Survey of trust-region derivative free optimization methods. Zbl 1170.90519
Karasözen, Bülent
2007
Selection of steady states in planar Darcy convection. Zbl 1160.76346
Tsybulin, V. G.; Karasözen, B.; Ergenç, T.
2006
Poisson integrators for Volterra lattice equations. Zbl 1110.65115
Ergenç, T.; Karasözen, B.
2006
Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349
Karasözen, Bülent; Konopleva, Irina; Loginov, Boris
2003
Runge-Kutta collocation methods for rigid body Lie-Poisson equations. Zbl 1001.65520
Ergenç, T.; Karasözen, B.
1996
Inverted $$n$$-bar model in descriptor and in state space form. Zbl 0850.93085
Karasözen, B.; Rentrop, P.; Wagner, Y.
1995
Reduced order optimal control of the convective FitzHugh-Nagumo equations. Zbl 1448.49038
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba
2020
Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173
Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah
2018
Energy preserving model order reduction of the nonlinear Schrödinger equation. Zbl 1404.65310
Karasözen, Bülent; Uzunca, Murat
2018
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. Zbl 1387.35353
Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat
2017
Optimal control of convective FitzHugh-Nagumo equation. Zbl 1373.65045
Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent
2017
Energy stable model order reduction for the Allen-Cahn equation. Zbl 06861112
Uzunca, Murat; Karasözen, Bülent
2017
Moving mesh discontinuous Galerkin methods for PDEs with traveling waves. Zbl 1410.65382
Uzunca, M.; Karasözen, B.; Küçükseyhan, T.
2017
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026
Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat
2017
Model order reduction for nonlinear Schrödinger equation. Zbl 1339.65123
Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat
2015
Reduced order optimal control using proper orthogonal decomposition sensitivities. Zbl 1328.65141
Akman, Tuğba; Karasözen, Bülent
2015
Space-time discontinuous Galerkin methods for optimal control problems governed by time dependent diffusion-convection-reaction equations. Zbl 1337.65050
Akman, Tuğba; Karasözen, Bülent
2015
Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Zbl 1302.65258
Yücel, Hamdullah; Karasözen, Bülent
2014
A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Zbl 1301.49072
Akman, Tuğba; Yücel, Hamdullah; Karasözen, Bülent
2014
Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations. Zbl 1293.49065
Akman, Tuğba; Karasözen, Bülent
2014
Aggregate codifferential method for nonsmooth DC optimization. Zbl 1314.90090
Tor, Ali Hakan; Bagirov, Adil; Karasözen, Bülent
2014
An all-at-once approach for the optimal control of the unsteady Burgers equation. Zbl 1318.49052
Yılmaz, Fikriye; Karasözen, Bülent
2014
Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Zbl 1278.49036
Kanar Seymen, Z.; Yücel, H.; Karasözen, B.
2014
Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163
Karasözen, Bülent; Uzunca, Murat
2014
Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076
Yücel, H.; Heinkenschloss, M.; Karasözen, B.
2013
Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1308.35249
Karasözen, Bülent; Şimşek, Görkem
2013
Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1291.35291
Karasözen, B.; Şimşek, G.
2013
Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. Zbl 1268.76041
Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G.
2012
Energy preserving integration of KdV-KdV systems. Zbl 1261.65132
Karasözen, B.; Şimşek, G.
2012
Natural convection in porous annular domains: Mimetic scheme and family of steady states. Zbl 1386.76113
Karasözen, Bülent; Trofimova, Anastasia V.; Tsybulin, Vyacheslav G.
2012
Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics. Zbl 1220.65080
Yılmaz, Fikriye; Karasözen, Bülent
2011
Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. Zbl 1220.65176
Aydın, A.; Karasözen, B.
2011
Multisymplectic box schemes for the complex modified Korteweg-de Vries equation. Zbl 1312.35149
Aydın, A.; Karasözen, B.
2010
Recent developments in applied probability and statistics. Dedicated to the memory of Jürgen Lehn. Zbl 1192.60004
Devroye, Luc (ed.); Karasözen, Bülent (ed.); Kohler, Michael (ed.); Korn, Ralf (ed.)
2010
Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions. Zbl 1165.65084
Aydin, Ayhan; Karasözen, Bülent
2009
Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity. Zbl 1274.76140
Yapici, Kerim; Karasozen, Bulent; Uludag, Yusuf
2009
Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010
Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B.
2009
Special issue: Networks in computational biology. Papers based on the workshop, Ankara, Turkey, September 10–12, 2006. Zbl 1204.92036
Dress, Andreas (ed.); Karasözen, Bülent (ed.); Stadler, Peter F. (ed.); Weber, Gerhard-Wilhelm (ed.)
2009
Discrete gradient method: Derivative-free method for nonsmooth optimization. Zbl 1165.90021
Bagirov, A. M.; Karasözen, B.; Sezer, M.
2008
Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation. Zbl 1152.35467
Aydın, A.; Karasözen, B.
2008
Destruction of the family of steady states in the planar problem of Darcy convection. Zbl 1223.76109
Tsybulin, V. G.; Karasözen, B.
2008
Staggered grids discretization in three-dimensional Darcy convection. Zbl 1196.76079
Karasözen, B.; Nemtsev, A. D.; Tsybulin, V. G.
2008
Derivative free optimization methods for optimizing stirrer configurations. Zbl 1160.90664
Uğur, Ö.; Karasözen, B.; Schäfer, M.; Yapıcı, K.
2008
Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions. Zbl 1196.65139
Aydın, A.; Karasözen, B.
2007
Survey of trust-region derivative free optimization methods. Zbl 1170.90519
Karasözen, Bülent
2007
Selection of steady states in planar Darcy convection. Zbl 1160.76346
Tsybulin, V. G.; Karasözen, B.; Ergenç, T.
2006
Poisson integrators for Volterra lattice equations. Zbl 1110.65115
Ergenç, T.; Karasözen, B.
2006
Mimetic discretization of two-dimensional Darcy convection. Zbl 1196.76044
Karasözen, B.; Tsybulin, V. G.
2005
Cosymmetry preserving finite-difference methods for convection equations in a porous medium. Zbl 1236.76040
Karasözen, B.; Tsybulin, V. G.
2005
Approximation of abstract differential equations. Zbl 1111.47063
Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei
2004
Poisson integrators. Zbl 1074.65145
Karasözen, B.
2004
Cosymmetric families of steady states in Darcy convection and their collision. Zbl 1118.81377
Karasözen, B.; Tsybulin, V. G.
2004
Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008
Karasözen, B.; Konopleva, I.; Loginov, B.
2003
Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349
Karasözen, Bülent; Konopleva, Irina; Loginov, Boris
2003
Conservative finite difference schemes for cosymmetric systems. Zbl 0988.65068
Karasözen, Bülent; Tsybulin, Vyacheslav G.
2001
Dynamics of numerical methods for cosymmetric ordinary differential equations. Zbl 1091.65508
Govorukhin, V. N.; Tsybulin, V. G.; Karasözen, B.
2001
A finite difference approximation for cosymmetry preservation in filtration-convection problem. Zbl 0993.76056
Karasözen, B.; Tsybulin, V. G.
2000
Finite difference approximations and cosymmetry conservation in filtration-convection problem. Zbl 0958.76060
Karasözen, B.; Tsybulin, V. G.
1999
Modified iterative methods for linear systems of equations. Zbl 0926.65034
Karasözen, B.; Özban, A. Y.
1998
Runge-Kutta methods for Hamiltonian systems in non-standard symplectic two-form. Zbl 0891.65089
Karasözen, B.
1998
Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039
Ergenç, T.; Karasözen, B.; Piskarev, S.
1997
Composite integrators for bi-Hamiltonian systems. Zbl 0873.58033
Karasözen, B.
1996
An error analysis of iterated defect correction methods for linear differential-algebraic equations. Zbl 1001.65528
Karasözen, B.; Somali, Ş.
1996
Runge-Kutta collocation methods for rigid body Lie-Poisson equations. Zbl 1001.65520
Ergenç, T.; Karasözen, B.
1996
Inverted $$n$$-bar model in descriptor and in state space form. Zbl 0850.93085
Karasözen, B.; Rentrop, P.; Wagner, Y.
1995
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#### Cited by 316 Authors

 31 Karasözen, Bülent 15 Bagirov, Adil M. 15 Tsybulin, Vyacheslav G. 10 Ashyralyev, Allaberen 10 Piskarëv, S. I. 9 Yücel, Hamdullah 7 Uzunca, Murat 6 Akman, Tuğba 5 Aydin, Ayhan 5 Jiang, Zhaolin 4 Benner, Peter 4 Dehghan Takht Fooladi, Mehdi 4 Gaudioso, Manlio 4 Govorukhin, Vasily N. 4 Karmitsa, Napsu 4 Ozturk, Gurkan 4 Ugon, Julien 3 Abdelhafez, Mostafa A. 3 Gercek, Okan 3 Hare, W. 3 Hare, Warren L. 3 Kasimbeyli, Refail 3 Küçükseyhan, Tuğba 3 Nemtsev, Andrew D. 3 Pastor, Javier 3 Stoll, Martin 3 Trofimova, Anastasia V. 2 Akman Yıldız, Tuğba 2 Al Nuaimat, A. 2 Ballesteros, Angel 2 Chen, Yaming 2 Deng, Zichen 2 Dolgopolik, Maxim Vladimirovich 2 Ergenç, Tanil 2 Frischmuth, Kurt 2 Giallombardo, Giovanni 2 Hu, Weiwei 2 Kim-Tyan, Luiza Revmirovna 2 Larson, Jeffrey 2 Li, Miao 2 Loginov, Boris Vladimirovich 2 Lu, Fuliang 2 Planiden, Chayne 2 Sagastizábal, Claudia S. 2 Shen, Jiguang 2 Shevchenko, Igor V. 2 Singler, John R. 2 Song, Songhe 2 Sozen, Yasar 2 Sultanova, Nargiz 2 Wild, Stefan M. 2 Wu, Changzhi 2 Yilmaz, Fikriye Nuray 2 Yousefpour, Rohollah 2 Yurtsever, Hasan Ali 2 Zhang, Guofeng 2 Zhang, Jiapu 2 Zhang, Yangwen 2 Zheng, Xiaobo 2 Zhou, Zhaojie 2 Zhu, Huajun 1 Abadoglu, Ender 1 Afonso, A. M. 1 Aggez, Necmettin 1 Akkoyunlu, Canan 1 Alparslan Gök, Sırma Zeynep 1 Alves, Manuel A. 1 Amirfakhrian, Majid 1 Angadi, L. M. 1 Asadi, Soodabeh 1 Asgari, Zohreh 1 Attili, Basem S. 1 Audet, Charles 1 Awrejcewicz, Jan 1 Azizi, Masoomeh 1 Bakholdin, Igor B. 1 Ballarin, Francesco 1 Barker, Andrew T. 1 Barton, Paul I. 1 Blasco, Alfonso 1 Bobylev, Nikolaĭ Antonovich 1 Böhme, Gert 1 Brugnano, Luigi 1 Burachik, Regina Sandra 1 Caccia, Gianluca Frasca 1 Cai, Jiaxiang 1 Calvo, M. P. 1 Campillo-Funollet, Eduard 1 Castillo, Ernesto 1 Celiker, Fatih 1 Chaturantabut, Saifon 1 Chen, Fangqi 1 Chen, Gang 1 Chen, Juan 1 Chen, Yaoqin 1 Christof, Constantin 1 Çibik, Aytekin Bayram 1 Clausen, Conny 1 Codina, Ramon 1 Człapiński, Tomasz ...and 216 more Authors
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#### Cited in 89 Serials

 12 Computers & Mathematics with Applications 12 Journal of Computational and Applied Mathematics 12 Abstract and Applied Analysis 8 Journal of Computational Physics 8 Computational Optimization and Applications 7 Applied Mathematics and Computation 7 Journal of Optimization Theory and Applications 7 Optimization 6 Computer Physics Communications 5 Fluid Dynamics 5 Physics Letters. A 5 Applied Numerical Mathematics 5 Journal of Global Optimization 5 Optimization Methods & Software 4 Journal of Scientific Computing 4 International Journal of Computer Mathematics 4 Journal of Mathematical Sciences (New York) 3 Numerical Algorithms 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Optimization 2 Applicable Analysis 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Numerical Functional Analysis and Optimization 2 Optimal Control Applications & Methods 2 European Journal of Operational Research 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 2 Set-Valued and Variational Analysis 1 Computers and Fluids 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Top 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Nonlinear Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 Chaos 1 Fractional Calculus & Applied Analysis 1 The ANZIAM Journal 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 4OR 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 Advances in Difference Equations 1 Boundary Value Problems 1 Journal of Industrial and Management Optimization 1 Proceedings of the Steklov Institute of Mathematics 1 Optimization Letters 1 Journal of Physics A: Mathematical and Theoretical 1 Algorithms 1 Commentationes Mathematicae 1 Advances in Mathematical Physics 1 Advances in Numerical Analysis 1 Journal of Theoretical Biology 1 Journal of Computational Dynamics 1 Journal of Mathematics 1 International Journal of Analysis and Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 27 Fields

 131 Numerical analysis (65-XX) 70 Partial differential equations (35-XX) 51 Operations research, mathematical programming (90-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 34 Fluid mechanics (76-XX) 25 Dynamical systems and ergodic theory (37-XX) 19 Ordinary differential equations (34-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Biology and other natural sciences (92-XX) 6 Operator theory (47-XX) 5 Statistics (62-XX) 4 Difference and functional equations (39-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)