Multivariete Analysis
High Dimensional Model Representation
Enhanced Multivariance Product Representation
Numerical Methods
Numerical Solutions of Differential Equations
Optimisation Problems
Approximation Theory

MASTER THESIS

"Weight Optimization in Enhanced MultivarianceProduct Representation" (in Turkish), Marmara University, Mathematics Department, (December 2011)

PROCEEDINGS

• A.Okan, N.A. Baykara and 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), Rhodes, Greece AIP Conf. Proc. 1281, pp. 1935-1938; doi:http://dx.doi.org/10.1063/1.3498306


• A.Okan, N.A. Baykara and 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, Greece, 19-25 September 2011, AIP Conf. Proc. 1389, pp. 1168-1171; doi:http://dx.doi.org/10.1063/1.3637823


• A.Okan, N.A. Baykara and 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, Prague, Czech Republic, 26-28 September 2011


• A.Okan, N.A. Baykara and 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 August 2012


• A.Okan, N.A. Baykara and 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, Greece AIP Conf. Proc. AIP Conf. Proc. 1479, pp. 2007-2010; doi: http://dx.doi.org/10.1063/1.4756582


• A.Okan and 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 Sept., Varna, Bulgaria, pp. 195-200, doi: 10.1109/MCSI.2014.26, print ISBN: 978-1-4799-4744-7


• A.Okan and 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 September 2014, Rhodes, Greece, will be published


• A.Okan and 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 March 2015, Athens, Greece, will be published