Graduate School of Applied Mathematics, Article

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Recent Submissions

Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method
Codina, Ramon; Türk, Önder (2022-09-01)
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why ...
Optimal Capacity Allocation in accordance with Renewable Energy Sources: The US Electricity Market
Gölbaşı, Umut; Yılmaz, Bilgi; Kestel, Sevtap Ayşe (2022-09-01)
The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace
Çakıroğlu, Yağmur; Yayla, Oğuz; Yılmaz, Emrah Sercan (2022-08-01)
We present the formula for the number of monic irreducible polynomials of degree n over the finite field F-q where the coefficients of x(n)(-1) and x vanish for n >= 3. In particular, we give a relation between rational po...
Faster NTRU on ARM Cortex-M4 With TMVP-Based Multiplication
Keskinkurt Paksoy, İrem; Cenk, Murat (2022-07-01)
This paper focuses on speeding up NTRU -one of the lattice-based finalists of the NIST PQC competition -by improving the ring multiplication. The Number Theoretic Transform (NTT), Toom-Cook, and Karatsuba are the most comm...
Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations
Çiloğlu, Pelin; Yücel, Hamdullah (2022-02-01)
We investigate numerical behaviour of a convection diffusion equation with random coefficients by approximating statistical moments of the solution. Stochastic Galerkin approach, turning the original stochastic problem to ...
The Impact of Large Investors on the Portfolio Optimization of Single-Family Houses in Housing Markets
Yılmaz, Bilgi; Korn, Ralf; Kestel, Sevtap Ayşe (2022-02-01)
As a consequence of the real estate market crash after 2008, large investors invested a significant amount of wealth into single-family houses to construct a portfolio of rental dwellings, whose income is securitized in th...
Optimal Premium allocation understop-loss insurance using exposure curves
Mert, Özenç Murat; Kestel, Sevtap Ayşe (2022-01-01)
Determining the retention level in the stop-loss insurance risk premium for both insurerand reinsurer is an important factor in pricing. This paper aims to set optimal reinsurancewith respect to the joint behavior of the i...
Default and prepayment options pricing and default probability valuation under VG model
Yilmaz, Bilgi; Hekimoglu, A. Alper; Kestel, Sevtap Ayşe (2022-01-01)
In this paper, a new approach, the Variance Gamma (VG) model, which is used to capture unexpected shocks (e.g., Covid-19) in housing markets, is proposed to contribute to the standard option-based mortgage valuation method...
A novel model for sustainable waste collection arc routing problem: Pareto-based algorithms
Tirkolaee, Erfan Babaee; Goli, Alireza; Gutmen, Selma; Weber, Gerhard Wilhelm; Szwedzka, Katarzyna (2022-01-01)
Municipal solid waste (MSW) management is known as one of the most crucial activities in municipalities that requires large amounts of fixed/variable and investment costs. The operational processes of collection, transport...
A robust time-cost-quality-energy-environment trade-off with resource-constrained in project management: A case study for a bridge construction project
Lotfi, Reza; Yadegari, Zahra; Hosseini, Seyed Hossein; Khameneh, Amir Hossein; Tirkolaee, Erfan Babaee; Weber, Gerhard Wilhelm (2022-01-01)
Sustainable development requires scheduling and implementation of projects by considering cost, environment, energy, and quality factors. Using a robust approach, this study investigates the time-cost-quality-energy-enviro...
Faster characteristic three polynomial multiplication and its application to NTRU Prime decapsulation
Yeniaras, Esra; Cenk, Murat (2022-01-01)
Efficient computation of polynomial multiplication over characteristic three fields is required for post-quantum cryptographic applications which gain importance upon the recent advances in quantum computers. In this paper...
The prediction power of machine learning on estimating the sepsis mortality in the intensive care unit
Selcuk, Mehtap; Koç, Oğuz; Kestel, Sevtap Ayşe (2022-01-01)
Background: The prediction of sepsis mortality of intensive care unit (ICU) observations using machine learning (ML) methods is hypothesized to yield better or as good as performance compared to the prognostic scores. This...
Robust optimization of risk-aware, resilient and sustainable closed-loop supply chain network design with Lagrange relaxation and fix-and-optimize
Lotfi, Reza; Sheikhi, Zohre; Amra, Mohsen; AliBakhshi, Mehdi; Weber, Gerhard Wilhelm (2021-12-01)
This study explores a Robust, Risk-aware, Resilient, and Sustainable Closed-Loop Supply Chain Network Design (3RSCLSCND) to tackle demand fluctuation like COVID-19 pandemic. A two-stage robust stochastic multiobjective pro...
Optimal premium allocation under stop-loss insurance using exposure curves
Mert, Özenç Murat; Kestel, Sevtap Ayşe (2021-11-01)
Determining the retention level in the stop-loss insurance risk premium for both insurer and reinsurer is an important factor in pricing. This paper aims to set optimal reinsurance with respect to the joint behavior of the...
Viable medical waste chain network design by considering risk and robustness
Lotfi, Reza; Kargar, Bahareh; Gharehbaghi, Alireza; Weber, Gerhard-Wilhelm (2021-10-01)
Medical waste management (MWM) is an important and necessary problem in the COVID-19 situation for treatment staff. When the number of infectious patients grows up, the amount of MWMs increases day by day. We present medic...
Structure-preserving reduced-order modeling of Korteweg–de Vries equation
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman (2021-10-01)
Computationally efficient, structure-preserving reduced-order methods are developed for the Korteweg–de Vries (KdV) equations in Hamiltonian form. The semi-discretization in space by finite differences is based on the Hami...
An Introduction to the Special Issue on Numerical Techniques Meet with OR - Part II
Gurbuz, Burcu; Weber, Gerhard-Wilhelm (2021-09-01)
The special issue: "Numerical Techniques Meet with OR" of the Foundations of Computing and Decision Sciences consists of two parts which are of the main theme of numerical techniques and their applications in multi-discipl...
Time varying control of magnetohydrodynamic duct flow
Evcin, Cansu; Uğur, Ömür; Tezer, Münevver (2021-09-01)
Optimal control of the unsteady, laminar, fully developed flow of a viscous, incompressible and electrically conducting fluid is considered under the effect of a time varying magnetic field B0(t) applied in the direction m...
Gradient-based grey wolf optimizer with Gaussian walk: Application in modelling and prediction of the COVID-19 pandemic
Khalilpourazari, Soheyl; Hashemi Doulabi, Hossein; Özyüksel Çiftçioğlu, Aybike; Weber, Gerhard-Wilhelm (2021-09-01)
This research proposes a new type of Grey Wolf optimizer named Gradient-based Grey Wolf Optimizer (GGWO). Using gradient information, we accelerated the convergence of the algorithm that enables us to solve well-known comp...
Preface: Special Issue on Modeling, Simulation, and Optimization in Operational Research
Weber, Gerhard-Wilhelm; Thomas, J. Joshua; Saucedo, Jose Antonio Marmolejo; Fiore, Ugo; Litvinchev, Igor; Vasant, Pandian (2021-09-01)
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