Publications


S. Gürol , H. Öktem , T. Özalp, B. Karasozen, Statistical Learning and Optimization Methods for Improving the Efficiency in Landscape Image Clustering and Classification Problems, 2005

 

S.  Özöğür, A. G.  Sağdıçoğlu Celep, B.  Karasozen, N.  Yıldırım, G.. W. , Weber, Dynamical Modelling of Enzymatic Reactions, Simulation and Parameter  Estimation with Genetic Algorithm, 2005

 

M. Schaefer, B. Karasozen , Y. Uludag , K. Yapici, O. Ugur, Derivative Free Optimization of Stirrer Configurations, 2005

 

T. Ergenc, B. Karasozen, Poisson integrators for Volterra lattice equations, to appear in Applied Numerical Mathematics, 2005

M. Schaefer, B. Karasozen , Y. Uludag , K. Yapici, O. Ugur, Numerical Method for Optimizing Stirrer Configurations, 2005, to appear in Computers & Chemical Engineering

B. Karasozen, V.G. Tsybulin, Cosymmetry preserving finite-difference methods for convection equations in a porous medium, Applied Numerical Mathematics, 55, 69-82, 2005

B. Karasozen, V.G. Tsybulin, Mimetic discretization of two dimensional Darcy convection, Computer Physics Communications, 167, 203-213, 2004

B. Karasozen,  Poisson integrators, Mathematical and Computer Modelling, 40,  1225-1244, 2004

B. Karasozen, B. Loginov, Invariant reduction of partially potential branching equations and iterative methods in the bifurcation point problem with symmetry, Differential Equations , Vol. 40, 410-419,  2004, Abstract

D. Guidetti, B. Karasozen, S. Piskarev, Approximation of Abstract Differential Equations, Journal of Mathematical  Sciences,  Vol. 122,  3013-3054, 2004

B. Karasozen, V.G.Tsybulin, Cosymmetric families of steady states in Darcy convection and their collision, Physics Letters A, Vol. 323,  67-76, 2004

B. Karasozen, I. Konopleva,  B. Loginov,  Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators, Nonlinear Analysis and Applications: V. Lakshmikantham on his 80th Birthday, eds: R. P. Agarwal,  D. O'Regan, Kluwer, 2003, Volume II,  617-644,  Abstract

B.Karasozen,  I.  Konopleva, B. Loginov , Invariant Manifolds and Grobman-Hartman Theorem for Equations with Degenerate Operator at the Derivative, Lecture Notes in Computer Science, Vol. 2658, 533-541,  2003,  Abstract

B. Karasozen, V.G.Tsybulin,  Conservative Finite Difference Schemes for Cosymmetric Systems,  CASC 2001,  Proceedings , Computer Algebra in Scientific Computing CASC ,  eds,  V.G. Ganzha, Mayr, E.V.,  Vorozhtshov, E.V,  Springer,    363-374, 2001, Abstract

B. Karasozen,  V.G. Tsybulin,  V. N. Govorukhin, Dynamics of Numerical Methods for Cosymmetric Ordinary Differential Equations, International Journal of Bifurcation and Chaos,  11,  2339-2358, 2001, Abstract

B. Karasozen,  V.G. Tsybulin, Finite-Difference Approximations for  Cosymmetry Preservation  in a Filtration Convection Problem, Proceedings of EQUADIFF 1999, ed. B. Fiedler, K. Gröger, J. Sprekels, 985-987, 2000

B. Karasozen,  V.G. Tsybulin, Finite-Difference Approximations and Cosymmetry Conservation in Filtration Convection Problem,  Physics Letters A,  Vol. 262, 321-329, 1999, Abstract

B. Karasozen,  Adaptive reversible and symplectic integrators. Error Control and Adaptivity in Scientific Computing (Antalya, 1998), H. Bulgak,  C. Zenger eds. ,  NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 536, Kluwer,  191-221, 1999

B.  Karasozen,  A. Pamir,  Structure preserving splitting methods for Lotka-Volterra equations,  2nd Meeting on Numerical Analysis for Differential Equations (Coimbra 1998), P de Oliveria, F. Oliveria, F. Patricio, J.A. Ferreria, A. Araujo eds, 325-334, Department of Mathematics, University of Coimbra, Portugal, 1999

B.  Karasozen, A.Y. Ozban,  Modified Iterative Methods for Linear Systems of Equations, International   Journal of Computer Mathematics,  Vol. 70, 179-196, 1998,  Abstract

B. Karasozen,  Runge-Kutta methods for Hamiltonian systems in non-standard symplectic two-form,    International Journal of Computer Mathematics,  Vol. 66, 113-122, 1998, Abstract

M. Hankel,  B. Karasozen, P. Rentrop, U. Schmitt,  A Molecular Dynamics Model for Symplectic Integrators,  Mathematical Modeling of Systems, Vol. 3, 282-296, 1997, Abstract

T. Ergenc, B. Karasozen, S. Piskarev,  Approximation of semilinear Cauchy problem for second order equations in Banach spaces,  Nonlinear Analysis, Vol. 28,  1157-1165,1997, Abstract

B. Karasozen, Composite integrators for bi-Hamiltonian systems, Computers & Mathematics with Applications,  Vol. 32, 79-86, 1996, Abstract

T. Ergenc, B. Karasozen, Runge-Kutta collocation methods for rigid body Lie-Poisson equations, International Journal of Computer Mathematics , Vol. 62, 63-71, 1996, Abstract

B. Karasozen,  Comparison of reversible integrators for a Hamiltonian in normal form, Proceedings of the Third International Congress on Industrial and Applied Mathematics, ICIAM 95, Issue 4: Applied Sciences, especially Mechanics (Minisymposia), E. Kreuzer, O. Mahrenholz, eds., 544-547, 1996, Abstract

B. Karasozen, S. Somali, Iterated Defect Correction Methods for Linear Differential-Algebraic Equations, International Journal of Computer Mathematics, Vol. 60, 121-137, 1996, Abstract

B. Karasozen, P. Rentrop, Y. Wagner,  The Inverted $n$-Bar Model in Descriptor and State Space Form, Mathematical Modeling of Systems, 1995, Vol. 4,  272-285, Abstract

B. Karasozen,  Accuracy of Implicit Symplectic Integrators for Hamiltonian Equations, Scientific Computation and Mathematical Modeling, S. Markov (ed), DATECS Publishing, Sofia,  123-124, 1993

S. Somalı, B. Karasozen,  Iterated Defect Correction Methods for Differential-Algebraic Equations, Turkish Journal of Mathematics, Vol. 16,  230-249, 1992

B. Karasozen, S. Somalı, Diferansiyel- Cebirsel Denklemler ve Hata Duzeltme Yontemleri, Diferansiyel Denklemler Sempozyumu IV Bildirileri, ODTU 1990, Bogazici Universitesi Yayinlari,  69-77, 1991

S. Somalı, B. Karasozen, Iterated Defect Correction for Differential-Algebraic Equations, Proceedings of the International Numerical Analysis Symposium, Ankara 1987, 167-173, 1989

B. Karasozen,  Runge-Kutta methods for quasilinear parabolic equations with adaptive mesh selection in the space variable, J. Karadeniz Tech. Univ.. Fac. Arts Sci. Ser. Math.-Phys. Vol. 11, 171-182, 1988

B. Karasozen, Difuzyon-Konveksiyon Denkleminin Sayisal Cozumu icin Yari-kapali Tek-adimli Yontemler, Diferansiyel Denklemler Sempozyumu Bildirileri, Bogazici Universitesi 1985, Bogazici Universitesi Yayinlari,  93-97, 1987

B. Karasozen, Stability and Accuracy of Difference Schemes for Time Dependent Parabolic Differential Equations, Proceedings of the Symposium on Numerical Analysis and Applications, Ankara 1985,  12-31, 1986

B. Karasozen, S. Uzuner,  Multistep Methods for Linear Time Varying Differential-Algebraic Equations, Proceedings of the Symposium on Numerical Analysis and Applications, Ankara 1985,  152-156, 1986

B. Karasozen,  An Extremely Algebraically Stable DIRK Method for Parabolic Equations, Turkish Journal of Mathematics, Vol. 10,  327-337, 1986

B. Karasozen, M. Yargucu,  Extremely stable semi-implicit Runge-Kutta methods, Doga Bilim Dergisi, Ser A$_1$, Vol. 9,  12-18, 1985

B. Karasozen,  Sayisal Analizde Son Gelismeler : Adi Turev Denklemlerinde Baslangic Deger Problemleri, Seyrek Matrisler, Sayisal Analiz Sempozyumu Bildirileri, Ankara 1983, 1-46, 1984

B. Karasozen, Exponential and Frequency Fitting in the Numerical Solution of Ordinary Differential Equations, Sayisal Analiz Sempozyumu Bildirileri, Ankara 1983,  64-71, 1984

B. Karasozen, A New Method for Solving Finite-Element Semidiscretized Parabolic Differential Equations, International Nazim Terzioglu  Symposium on Mathematics, Trabzon 1982, Karadeniz Univ. Math. J. Vol. 5,   52-83, 1982