Edit Profile (opens in new tab) Karasözen, Bülent Compute Distance To: Compute Author ID: karasozen.bulent Published as: Karasözen, Bülent; Karasözen, B.; Karasozen, Bulent; Karasözen, Bulent; Karasozen, B. more...less Homepage: http://users.metu.edu.tr/bulent/ External Links: MGP · Google Scholar · dblp Documents Indexed: 97 Publications since 1983 9 Contributions as Editor Reviewing Activity: 379 Reviews Co-Authors: 62 Co-Authors with 91 Joint Publications 1,398 Co-Co-Authors all top 5 Co-Authors 13 single-authored 22 Uzunca, Murat 14 Tsybulin, Vyacheslav G. 8 Aydin, Ayhan 7 Yücel, Hamdullah 5 Akman, Tuğba 5 Küçükseyhan, Tuğba 5 Yıldız, Süleyman 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 Elgindy, Kareem T. 2 Kanar Seymen, Z. 2 Kaplan, Uğur 2 Manguoglu, Murat 2 Mülayim, Gülden 2 Piskarëv, S. I. 2 Rentrop, Peter 2 Trofimova, Anastasia V. 2 Turkay, Metin 2 Weber, Gerhard-Wilhelm 1 Akkoyunlu, Canan 1 Akman Yıldız, Tuğba 1 Akyildiz, Ersan 1 Brown, Lawrence Michael 1 Bulgak, Haydar 1 Devroye, Luc P. J. A. 1 Dress, Andreas W. M. 1 Dür, Mirjam 1 Ercan, Gülin 1 Göktepe, Serdar 1 Govorukhin, Vasily N. 1 Guidetti, Davide 1 Heinkenschloss, Matthias 1 Ikeda, Masatoshi Gündüz 1 Kaptanoğlu, T. 1 Karasözen, Ezgi 1 Kohler, Michael 1 Korkmaz, Mustafa 1 Korn, Ralf 1 Kozpınar, Sinem 1 Orhan, Cihan 1 Özban, Ahmet Yasar 1 Seymen, Zahire 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 all top 5 Serials 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 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 2 Discrete Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematics and Computers in Simulation 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 Mathematical Methods in the Applied Sciences 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 Communications in Nonlinear Science and Numerical Simulation 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 all top 5 Fields 73 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Fluid mechanics (76-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Ordinary differential equations (34-XX) 8 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 5 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-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) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 342 times in 270 Documents Cited by ▼ Year ▼ Discrete gradient method: Derivative-free method for nonsmooth optimization. Zbl 1165.90021Bagirov, A. M.; Karasözen, B.; Sezer, M. 56 2008 Approximation of abstract differential equations. Zbl 1111.47063Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 25 2004 Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions. Zbl 1196.65139Aydın, A.; Karasözen, B. 19 2007 Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1308.35249Karasözen, Bülent; Şimşek, Görkem 15 2013 Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076Yücel, H.; Heinkenschloss, M.; Karasözen, B. 14 2013 Finite difference approximations and cosymmetry conservation in filtration-convection problem. Zbl 0958.76060Karasözen, B.; Tsybulin, V. G. 14 1999 Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation. Zbl 1152.35467Aydın, A.; Karasözen, B. 13 2008 Optimal control of convective FitzHugh-Nagumo equation. Zbl 1373.65045Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent 9 2017 Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah 9 2018 Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions. Zbl 1165.65084Aydin, Ayhan; Karasözen, Bülent 8 2009 Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Zbl 1302.65258Yücel, Hamdullah; Karasözen, Bülent 8 2014 Multisymplectic box schemes for the complex modified Korteweg-de Vries equation. Zbl 1312.35149Aydın, A.; Karasözen, B. 8 2010 Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics. Zbl 1220.65080Yılmaz, Fikriye; Karasözen, Bülent 8 2011 Poisson integrators. Zbl 1074.65145Karasözen, B. 7 2004 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 1301.49072Akman, Tuğba; Yücel, Hamdullah; Karasözen, Bülent 6 2014 Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations. Zbl 1293.49065Akman, Tuğba; Karasözen, Bülent 6 2014 Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity. Zbl 1274.76140Yapici, Kerim; Karasozen, Bulent; Uludag, Yusuf 6 2009 Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. Zbl 1387.35353Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat 6 2017 Energy preserving model order reduction of the nonlinear Schrödinger equation. Zbl 1404.65310Karasözen, Bülent; Uzunca, Murat 6 2018 Model order reduction for nonlinear Schrödinger equation. Zbl 1339.65123Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat 5 2015 An all-at-once approach for the optimal control of the unsteady Burgers equation. Zbl 1318.49052Yılmaz, Fikriye; Karasözen, Bülent 5 2014 Aggregate codifferential method for nonsmooth DC optimization. Zbl 1314.90090Tor, Ali Hakan; Bagirov, Adil; Karasözen, Bülent 5 2014 Energy stable model order reduction for the Allen-Cahn equation. Zbl 1468.76042Uzunca, Murat; Karasözen, Bülent 4 2017 Conservative finite difference schemes for cosymmetric systems. Zbl 0988.65068Karasözen, Bülent; Tsybulin, Vyacheslav G. 4 2001 Structure preserving model order reduction of shallow water equations. Zbl 1484.65181Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat 4 2021 Dynamics of numerical methods for cosymmetric ordinary differential equations. Zbl 1091.65508Govorukhin, V. N.; Tsybulin, V. G.; Karasözen, B. 3 2001 Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat 3 2017 Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. Zbl 1220.65176Aydın, A.; Karasözen, B. 3 2011 Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Zbl 1278.49036Kanar Seymen, Z.; Yücel, H.; Karasözen, B. 3 2014 Pricing European and American options under Heston model using discontinuous Galerkin finite elements. Zbl 07318117Kozpınar, Sinem; Uzunca, Murat; Karasözen, Bülent 3 2020 Mimetic discretization of two-dimensional Darcy convection. Zbl 1196.76044Karasözen, B.; Tsybulin, V. G. 3 2005 Composite integrators for bi-Hamiltonian systems. Zbl 0873.58033Karasözen, B. 3 1996 Cosymmetry preserving finite-difference methods for convection equations in a porous medium. Zbl 1236.76040Karasözen, B.; Tsybulin, V. G. 3 2005 Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008Karasözen, B.; Konopleva, I.; Loginov, B. 2 2003 Cosymmetric families of steady states in Darcy convection and their collision. Zbl 1118.81377Karasözen, B.; Tsybulin, V. G. 2 2004 Selection of steady states in planar Darcy convection. Zbl 1160.76346Tsybulin, V. G.; Karasözen, B.; Ergenç, T. 2 2006 Poisson integrators for Volterra lattice equations. Zbl 1110.65115Ergenç, T.; Karasözen, B. 2 2006 Destruction of the family of steady states in the planar problem of Darcy convection. Zbl 1223.76109Tsybulin, V. G.; Karasözen, B. 2 2008 Model order reduction for pattern formation in Fitzhugh-Nagumo equations. Zbl 1352.65303Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba 2 2016 Moving mesh discontinuous Galerkin methods for PDEs with traveling waves. Zbl 1410.65382Uzunca, M.; Karasözen, B.; Küçükseyhan, T. 2 2017 Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization. Zbl 1301.49076Karasözen, B.; Yılmaz, F. 2 2014 Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163Karasözen, Bülent; Uzunca, Murat 2 2014 Reduced order optimal control using proper orthogonal decomposition sensitivities. Zbl 1328.65141Akman, Tuğba; Karasözen, Bülent 2 2015 Energy preserving integration of KdV-KdV systems. Zbl 1261.65132Karasözen, B.; Şimşek, G. 2 2012 Staggered grids discretization in three-dimensional Darcy convection. Zbl 1196.76079Karasözen, B.; Nemtsev, A. D.; Tsybulin, V. G. 2 2008 An error analysis of iterated defect correction methods for linear differential-algebraic equations. Zbl 1001.65528Karasözen, B.; Somali, Ş. 2 1996 Runge-Kutta methods for Hamiltonian systems in non-standard symplectic two-form. Zbl 0891.65089Karasözen, B. 2 1998 Modified iterative methods for linear systems of equations. Zbl 0926.65034Karasözen, B.; Özban, A. Y. 2 1998 Reduced order optimal control of the convective FitzHugh-Nagumo equations. Zbl 1448.49038Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba 2 2020 Derivative free optimization methods for optimizing stirrer configurations. Zbl 1160.90664Uğur, Ö.; Karasözen, B.; Schäfer, M.; Yapıcı, K. 1 2008 Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349Karasözen, Bülent; Konopleva, Irina; Loginov, Boris 1 2003 Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B. 1 2009 Space-time discontinuous Galerkin methods for optimal control problems governed by time dependent diffusion-convection-reaction equations. Zbl 1337.65050Akman, Tuğba; Karasözen, Bülent 1 2015 Natural convection in porous annular domains: Mimetic scheme and family of steady states. Zbl 1386.76113Karasözen, Bülent; Trofimova, Anastasia V.; Tsybulin, Vyacheslav G. 1 2012 Optimization of supply chain systems with price elasticity of demand. Zbl 1243.90148Kaplan, Uğur; Türkay, Metin; Karasözen, Bülent; Biegler, Lorenz T. 1 2011 Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. Zbl 1268.76041Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G. 1 2012 Runge-Kutta collocation methods for rigid body Lie-Poisson equations. Zbl 1001.65520Ergenç, T.; Karasözen, B. 1 1996 Recent developments in applied probability and statistics. Dedicated to the memory of Jürgen Lehn. Zbl 1192.60004 1 2010 Inverted \(n\)-bar model in descriptor and in state space form. Zbl 0850.93085Karasözen, B.; Rentrop, P.; Wagner, Y. 1 1995 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Survey of trust-region derivative free optimization methods. Zbl 1170.90519Karasözen, Bülent 1 2007 Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. Zbl 07484231Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat 1 2022 Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1291.35291Karasözen, B.; Şimşek, G. 1 2013 Reduced order modelling of nonlinear cross-diffusion systems. Zbl 07423539Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman 1 2021 High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers’ equation. Zbl 07474758Elgindy, Kareem T.; Karasözen, Bülent 1 2019 Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. Zbl 07484231Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat 1 2022 Structure preserving model order reduction of shallow water equations. Zbl 1484.65181Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat 4 2021 Reduced order modelling of nonlinear cross-diffusion systems. Zbl 07423539Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman 1 2021 Pricing European and American options under Heston model using discontinuous Galerkin finite elements. Zbl 07318117Kozpınar, Sinem; Uzunca, Murat; Karasözen, Bülent 3 2020 Reduced order optimal control of the convective FitzHugh-Nagumo equations. Zbl 1448.49038Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba 2 2020 High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers’ equation. Zbl 07474758Elgindy, Kareem T.; Karasözen, Bülent 1 2019 Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah 9 2018 Energy preserving model order reduction of the nonlinear Schrödinger equation. Zbl 1404.65310Karasözen, Bülent; Uzunca, Murat 6 2018 Optimal control of convective FitzHugh-Nagumo equation. Zbl 1373.65045Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent 9 2017 Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. Zbl 1387.35353Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat 6 2017 Energy stable model order reduction for the Allen-Cahn equation. Zbl 1468.76042Uzunca, Murat; Karasözen, Bülent 4 2017 Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat 3 2017 Moving mesh discontinuous Galerkin methods for PDEs with traveling waves. Zbl 1410.65382Uzunca, M.; Karasözen, B.; Küçükseyhan, T. 2 2017 Model order reduction for pattern formation in Fitzhugh-Nagumo equations. Zbl 1352.65303Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba 2 2016 Model order reduction for nonlinear Schrödinger equation. Zbl 1339.65123Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat 5 2015 Reduced order optimal control using proper orthogonal decomposition sensitivities. Zbl 1328.65141Akman, Tuğba; Karasözen, Bülent 2 2015 Space-time discontinuous Galerkin methods for optimal control problems governed by time dependent diffusion-convection-reaction equations. Zbl 1337.65050Akman, Tuğba; Karasözen, Bülent 1 2015 Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Zbl 1302.65258Yücel, Hamdullah; Karasözen, Bülent 8 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 1301.49072Akman, Tuğba; Yücel, Hamdullah; Karasözen, Bülent 6 2014 Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations. Zbl 1293.49065Akman, Tuğba; Karasözen, Bülent 6 2014 An all-at-once approach for the optimal control of the unsteady Burgers equation. Zbl 1318.49052Yılmaz, Fikriye; Karasözen, Bülent 5 2014 Aggregate codifferential method for nonsmooth DC optimization. Zbl 1314.90090Tor, Ali Hakan; Bagirov, Adil; Karasözen, Bülent 5 2014 Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Zbl 1278.49036Kanar Seymen, Z.; Yücel, H.; Karasözen, B. 3 2014 Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization. Zbl 1301.49076Karasözen, B.; Yılmaz, F. 2 2014 Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163Karasözen, Bülent; Uzunca, Murat 2 2014 Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1308.35249Karasözen, Bülent; Şimşek, Görkem 15 2013 Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076Yücel, H.; Heinkenschloss, M.; Karasözen, B. 14 2013 Energy preserving integration of bi-Hamiltonian partial differential equations. Zbl 1291.35291Karasözen, B.; Şimşek, G. 1 2013 Energy preserving integration of KdV-KdV systems. Zbl 1261.65132Karasözen, B.; Şimşek, G. 2 2012 Natural convection in porous annular domains: Mimetic scheme and family of steady states. Zbl 1386.76113Karasözen, Bülent; Trofimova, Anastasia V.; Tsybulin, Vyacheslav G. 1 2012 Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. Zbl 1268.76041Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G. 1 2012 Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics. Zbl 1220.65080Yılmaz, Fikriye; Karasözen, Bülent 8 2011 Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. Zbl 1220.65176Aydın, A.; Karasözen, B. 3 2011 Optimization of supply chain systems with price elasticity of demand. Zbl 1243.90148Kaplan, Uğur; Türkay, Metin; Karasözen, Bülent; Biegler, Lorenz T. 1 2011 Multisymplectic box schemes for the complex modified Korteweg-de Vries equation. Zbl 1312.35149Aydın, A.; Karasözen, B. 8 2010 Recent developments in applied probability and statistics. Dedicated to the memory of Jürgen Lehn. Zbl 1192.60004 1 2010 Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions. Zbl 1165.65084Aydin, Ayhan; Karasözen, Bülent 8 2009 Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity. Zbl 1274.76140Yapici, Kerim; Karasozen, Bulent; Uludag, Yusuf 6 2009 Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B. 1 2009 Discrete gradient method: Derivative-free method for nonsmooth optimization. Zbl 1165.90021Bagirov, A. M.; Karasözen, B.; Sezer, M. 56 2008 Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation. Zbl 1152.35467Aydın, A.; Karasözen, B. 13 2008 Destruction of the family of steady states in the planar problem of Darcy convection. Zbl 1223.76109Tsybulin, V. G.; Karasözen, B. 2 2008 Staggered grids discretization in three-dimensional Darcy convection. Zbl 1196.76079Karasözen, B.; Nemtsev, A. D.; Tsybulin, V. G. 2 2008 Derivative free optimization methods for optimizing stirrer configurations. Zbl 1160.90664Uğur, Ö.; Karasözen, B.; Schäfer, M.; Yapıcı, K. 1 2008 Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions. Zbl 1196.65139Aydın, A.; Karasözen, B. 19 2007 Survey of trust-region derivative free optimization methods. Zbl 1170.90519Karasözen, Bülent 1 2007 Selection of steady states in planar Darcy convection. Zbl 1160.76346Tsybulin, V. G.; Karasözen, B.; Ergenç, T. 2 2006 Poisson integrators for Volterra lattice equations. Zbl 1110.65115Ergenç, T.; Karasözen, B. 2 2006 Mimetic discretization of two-dimensional Darcy convection. Zbl 1196.76044Karasözen, B.; Tsybulin, V. G. 3 2005 Cosymmetry preserving finite-difference methods for convection equations in a porous medium. Zbl 1236.76040Karasözen, B.; Tsybulin, V. G. 3 2005 Approximation of abstract differential equations. Zbl 1111.47063Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 25 2004 Poisson integrators. Zbl 1074.65145Karasözen, B. 7 2004 Cosymmetric families of steady states in Darcy convection and their collision. Zbl 1118.81377Karasözen, B.; Tsybulin, V. G. 2 2004 Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008Karasözen, B.; Konopleva, I.; Loginov, B. 2 2003 Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349Karasözen, Bülent; Konopleva, Irina; Loginov, Boris 1 2003 Conservative finite difference schemes for cosymmetric systems. Zbl 0988.65068Karasözen, Bülent; Tsybulin, Vyacheslav G. 4 2001 Dynamics of numerical methods for cosymmetric ordinary differential equations. Zbl 1091.65508Govorukhin, V. N.; Tsybulin, V. G.; Karasözen, B. 3 2001 Finite difference approximations and cosymmetry conservation in filtration-convection problem. Zbl 0958.76060Karasözen, B.; Tsybulin, V. G. 14 1999 Runge-Kutta methods for Hamiltonian systems in non-standard symplectic two-form. Zbl 0891.65089Karasözen, B. 2 1998 Modified iterative methods for linear systems of equations. Zbl 0926.65034Karasözen, B.; Özban, A. Y. 2 1998 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Composite integrators for bi-Hamiltonian systems. Zbl 0873.58033Karasözen, B. 3 1996 An error analysis of iterated defect correction methods for linear differential-algebraic equations. Zbl 1001.65528Karasözen, B.; Somali, Ş. 2 1996 Runge-Kutta collocation methods for rigid body Lie-Poisson equations. Zbl 1001.65520Ergenç, T.; Karasözen, B. 1 1996 Inverted \(n\)-bar model in descriptor and in state space form. Zbl 0850.93085Karasözen, B.; Rentrop, P.; Wagner, Y. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 423 Authors 33 Karasözen, Bülent 17 Bagirov, Adil M. 13 Uzunca, Murat 12 Tsybulin, Vyacheslav G. 11 Ashyralyev, Allaberen 11 Piskarëv, S. I. 9 Yücel, Hamdullah 7 Aydin, Ayhan 6 Akman, Tuğba 5 Gaudioso, Manlio 5 Govorukhin, Vasily N. 5 Jiang, Zhaolin 5 Song, Songhe 4 Dehghan Takht Fooladi, Mehdi 4 Dolgopolik, Maxim Vladimirovich 4 Hare, Warren L. 4 Karmitsa, Napsu 4 Kasimbeyli, Refail 4 Ozturk, Gurkan 4 Stoll, Martin 4 Ugon, Julien 4 Yıldız, Süleyman 3 Benner, Peter 3 Deng, Zichen 3 Gercek, Okan 3 Giallombardo, Giovanni 3 Hare, W. 3 Hou, Baohui 3 Köroğlu, Canan 3 Küçükseyhan, Tuğba 3 Larson, Jeffrey 3 Liang, Dong 3 Nemtsev, Andrew D. 3 Pastor, Javier 3 Qian, Xu 2 Abdelhafez, M. A. 2 Akman Yıldız, Tuğba 2 Al Nuaimat, A. 2 Ballesteros, Angel 2 Chaturantabut, Saifon 2 Chen, Yaming 2 Fan, Zhenbin 2 Fang, Liang 2 Frischmuth, Kurt 2 Fu, Hao 2 Hu, Weipeng 2 Hu, Weiwei 2 Kim-Tyan, Luiza Revmirovna 2 Korkmaz, Alper 2 Li, Gang 2 Li, Miao 2 Liu, Li 2 Liu, Ru 2 Loginov, Boris Vladimirovich 2 Lu, Fuliang 2 Mäkelä, Marko Mikael 2 Menickelly, Matt 2 Meyers, Johan 2 Miglionico, Giovanna 2 Mülayim, Gülden 2 Ordin, Burak 2 Planiden, Chayne 2 Shen, Jiguang 2 Shevchenko, Igor V. 2 Singler, John R. 2 Sozen, Yasar 2 Sukuntee, Norapon 2 Sultanova, Nargiz 2 Taheri, Sona 2 Vandewalle, Stefan G. 2 Vicente, Luis Nunes 2 Wang, Lijin 2 Wang, Yushun 2 Wild, Stefan M. 2 Wu, Changzhi 2 Yang, Xiaofeng 2 Yilmaz, Fikriye Nuray 2 Yousefpour, Rohollah 2 Yurtsever, Hasan Ali 2 Zhang, Guofeng 2 Zhang, Jiapu 2 Zhang, Qimin 2 Zhang, Yangwen 2 Zheng, Xiaobo 2 Zhou, Zhaojie 2 Zhu, Huajun 1 Abadoglu, Ender 1 Abdolabadi, F. 1 Afonso, A. M. 1 Aggez, Necmettin 1 Aguilar, Francisco X. 1 Ahmed, Shady E. 1 Akkoyunlu, Canan 1 Alharbi, Abdulghani Ragaa 1 Almatrafi, Mohammed Bakheet 1 Alves, Manuel A. 1 Amirfakhrian, Majid 1 Angadi, L. M. 1 Asadi, Soodabeh 1 Asgari, Zohreh ...and 323 more Authors all top 5 Cited in 108 Serials 16 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 12 Computers & Mathematics with Applications 12 Abstract and Applied Analysis 11 Journal of Computational Physics 9 Computational Optimization and Applications 8 Optimization 8 International Journal of Computer Mathematics 7 Journal of Optimization Theory and Applications 7 Applied Numerical Mathematics 7 Optimization Methods & Software 6 Computer Physics Communications 5 Fluid Dynamics 5 Journal of Scientific Computing 5 Journal of Global Optimization 5 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Optimization 4 Journal of Mathematical Sciences (New York) 3 Numerical Functional Analysis and Optimization 3 Numerical Algorithms 3 Computational Mathematics and Mathematical Physics 3 International Journal of Computational Fluid Dynamics 3 International Journal of Computational Methods 3 Advances in Difference Equations 3 Optimization Letters 3 Advances in Applied Mathematics and Mechanics 3 Set-Valued and Variational Analysis 2 Applicable Analysis 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Mathematics and Computers in Simulation 2 Optimal Control Applications & Methods 2 Annals of Operations Research 2 Advances in Computational Mathematics 2 Mediterranean Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Journal of Industrial and Management Optimization 2 Communications in Computational Physics 2 Journal of Computational Dynamics 2 AIMS Mathematics 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 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 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 Applications of Mathematics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 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 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Top 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 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 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 4OR 1 Thai Journal of Mathematics 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Numerical Mathematics: Theory, Methods and Applications 1 Bulletin of Mathematical Analysis and Applications 1 Algorithms 1 Commentationes Mathematicae 1 Advances in Mathematical Physics 1 Advances in Numerical Analysis ...and 8 more Serials all top 5 Cited in 32 Fields 181 Numerical analysis (65-XX) 100 Partial differential equations (35-XX) 65 Operations research, mathematical programming (90-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 37 Fluid mechanics (76-XX) 31 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 9 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 5 Computer science (68-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 2 Nonassociative rings and algebras (17-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year