Çokdeğişkenli Analizi
Yüksek Boyutlu Model Gösterilimi
Çokdeğişkenliliği Yükseltilmiş Çarpımlar Gösterilimi
Sayısal Yöntemler
Yaklaştırım Teorisi
Eniyileme Problemleri
Diferansiyel Denklemlerin Sayısal Çözümleri

Yüksek Lisans Tezi

"Çokdeğişkenliliği Yükseltilmiş Çarpımsal Gösterilim Yönteminde Ağırlık Optimizasyonu", Marmara Üniversitesi,Fen Bilimleri Enstitüsü, Matematik Bölümü, (December 2011)

Bildiriler

• A.Okan, N.A. Baykara ve M. Demiralp, “Weight Optimization in Enhanced Multivariance Product Representation (EMPR) Method” AIP Proceedings for the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), Rodos, Yunanistan AIP Conf. Proc. 1281, pp. 1935-1938; doi:http://dx.doi.org/10.1063/1.3498306


• A.Okan, N.A. Baykara ve M. Demiralp, “A Gauss Quadrature Like Numerical Integration Approach Based on Hermite Interpolation with Node Optimisation”,AIP Proceedings for the 9th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM2011), Halkidiki, Yunanistan, 19-25 Eylül 2011, AIP Conf. Proc. 1389, pp. 1168-1171; doi:http://dx.doi.org/10.1063/1.3637823


• A.Okan, N.A. Baykara ve M. Demiralp, “ Weight Optimization in Enhanced Multivariate Product Representation (EMPR) for Given Supports at the Fluctuation Free Integration Limit”, Proceedings of the 2nd International Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM, Prag, Çek Cumhuriyeti, 26-28 Eylül 2011


• A.Okan, N.A. Baykara ve M. Demiralp, “Parameter Optimization to Get Maximum Constancy in Constant Mobius Transformational High Dimensional Model Representation”,Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, İstanbul, Türkiye, 21-23 Ağustos 2012


• A.Okan, N.A. Baykara ve M. Demiralp, “Fluctuation Suppression to Optimize Initial Data to Increase the Quality of Truncation Approximants in Probabilistic Evolution Approach for ODEs: Basic Philosophy” AIP Proceedings for the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2012), Kos, Yunanistan AIP Conf. Proc. AIP Conf. Proc. 1479, pp. 2007-2010; doi: http://dx.doi.org/10.1063/1.4756582


• A.Okan ve M. Demiralp, “Tridiagonal Kernel Enhanced Multivariance Products Representation (TKEMPR) for Univariate Integral Operator Kernels”,The 2014 International Conference Mathematics and Computers in Sciences and Industry (MCSI 2014), 2014 International Conference,13-15 Eylül 2014, Varna, Bulgaristan, pp. 195-200, doi: 10.1109/MCSI.2014.26, print ISBN: 978-1-4799-4744-7


• A.Okan ve M. Demiralp, “Tridiagonal Kernel Enhanced Multivariance Products Representation (TKEMPR) for Outer Product Sums: Arrowheading EMPR for Kernel (AEMPRK)”, “The 12th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), 22-28 Eylül 2014, Rodos, Yunanistan, yayınlanacak


• A.Okan ve M. Demiralp, “Arrowheading Enhanced Multivariance Products Representation for a Kernel (AEMPRK) in a Taylor Series Expansion, 11th International Conference of Computational Methods in Sciences and Engineering, ICCMSE 2015, 20-23 Mart 2015, Atina, Yunanistan, yayınlanacak