Publications
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, 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. Karasözen,
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 (
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. Somali, B.
Karasozen, Iterated Defect Correction Methods for Differential-Algebraic
Equations, Turkish Journal of Mathematics, Vol. 16, 230-249, 1992
B. Karasozen, S. Somali,
Diferansiyel- Cebirsel Denklemler ve Hata Duzeltme Yontemleri, Diferansiyel
Denklemler Sempozyumu IV Bildirileri, ODTU 1990, Bogazici Universitesi
Yayinlari, 69-77, 1991
S. Somali, B. Karasozen,
Iterated Defect Correction for Differential-Algebraic Equations, Proceedings of
the International Numerical Analysis Symposium,
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