Graduate School of Applied Mathematics, Article

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SUPG-based stabilized finite element computations of convection-dominated 3D elliptic PDEs using shock-capturing Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (2024-12-01) This study is interested in stabilized finite element computations of advection-dominated convection–diffusion-type partial differential equations. The governing equations are assumed to be defined on the 3D unit cube and ...
Analyzing how inflation affects non-instantly decaying goods with demand linked to ads and selling price in a dual-warehouse setup Limi, Anthony; Rangarajan, K.; Jana, Chiranjibe; Ghith, Ehab; Lamoudan, Tarik; Weber, Gerhard Wilhelm; Abdelhamid, Abdelaziz A. (2024-11-01) This study explores inventory management strategies specifically designed for non-instantaneous deteriorating goods under inflationary conditions, utilizing a dual-warehouse system—one owned and the other rented with limit...
SOLVING MATRIX GAME USING ROUGH INTERVAL PAYOFFS Ghosh, Piyush; Bhaumik, Ankan; Weber, Gerhard Wilhelm; Roy, Sankar Kumar (2024-10-01) In this paper, we conduct an analysis of a matrix game using rough interval payoffs, which we refer to as the rough interval matrix game (RIMG). We employ three methods to address the problem at hand: linear programming, g...
A computational study for simulating MHD duct flows at high Hartmann numbers using a stabilized finite element formulation with shock-capturing Cengizci, Süleyman; Uğur, Ömür (2024-09-01) The concern of this manuscript is stabilized finite element simulations of two-dimensional incompressible and viscous magnetohydrodynamic (MHD) duct flows governed by a coupled system of partial differential equations of t...
A strategy based on statistical modelling and multi-objective optimization to design a dishwasher cleaning cycle Anapa, Korkut; Yücel, Hamdullah (2024-09-01) This study proposes a novel approach based on statistical learning and multi-objective optimization to reduce the need for experiments during the design phase of new cleaning cycles for household dishwashers. We first buil...
A different base approach for better efficiency on range proofs Günsay, Esra; Betin Onur, Cansu; Cenk, Murat (2024-09-01) Zero-knowledge range proofs (ZKRPs) are commonly used to prove the validation of a secret integer lies in an interval to some other party in a secret way. In many ZKRPs, the secret is represented in binary and then committ...
Ruin probability for heavy-tailed and dependent losses under reinsurance strategies Yıldırım Külekci, Bükre; Korn, Ralf; Kestel, Sevtap Ayşe (2024-07-01) The frequency and severity of extreme events have increased in recent years in many areas. In the context of risk management for insurance companies, reinsurance provides a safe solution as it offers coverage for large cla...
New distance bounds for quasi-cyclic codes Özkaya, Buket; Özbudak, Ferruh (2024-07-01)
On some permutation trinomials in characteristic three Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
On a class of permutation trinomials over finite fields Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
Metaheuristic-driven extended exergy accounting for sustainable closed-loop food supply chain management Shokouhifar, Mohammad; Naderi, Reihaneh; Goli, Alireza; Gultom, Parapat; Shafiei Nikabadi, Mohsen; Weber, Gerhard Wilhelm (2024-05-01) In this research, an exergetic mathematical model is proposed for closed-loop food supply chain network design considering economic, environmental, and social aspects. The studded closed-loop food supply chain consists of ...
Disruption, panic buying, and pricing: A comprehensive game-theoretic exploration Soltanzadeh, Shima; Rafiee, Majid; Weber, Gerhard Wilhelm (2024-05-01) No one can cast a shadow on the disruption and customer buying behavior change, especially panic buying, as a result of it. Thus, designing scenarios to examine the influence of this situation on pricing decisions plays a ...
A novel Nash-based low-carbon implementation in agricultural supply chain management Hamidoğlu, Ali; Weber, Gerhard Wilhelm (2024-04-10) The transition to low-carbon agriculture is seen as essential for accelerating the implementation of ecologically friendly and climate-smart agricultural supply chain management strategies. Success in these efforts depends...
Location–allocation problem for green efficient two-stage vehicle-based logistics system: A type-2 neutrosophic multi-objective modeling approach Das, Soumen Kumar; Yu, Vincent F.; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2024-03-15) In recent decades, global climate change has become one of the most critical environmental issues, leading to increased environmental and social concerns about the sustainability of logistics networks. This study proposes ...
A fast NTRU software implementation based on 5-way TMVP Yaman Gökce, Neslihan; Gökce, Anıl Burak; Cenk, Murat (2024-03-01) The fast and efficient operation of post-quantum cryptographic algorithms has become an important research topic, especially with the recent developments and the process of the PQC Standardization Project by NIST. Various ...
A stabilized finite element formulation with shock-capturing for solving advection-dominated convection–diffusion equations having time-fractional derivatives Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (2024-03-01) Numerical instabilities arising when simulating transport phenomena dominated by convection processes are among the most challenging situations in computational science, demanding the use of non-classical formulations and ...
Vine Copula Approach to Understand the Financial Dependence of the Istanbul Stock Exchange Index Evkaya, Ömer Ozan; Gür, Ismail; Yıldırım Külekci, Bükre; Poyraz, Gülden (2024-02-01) Recently, the complex dependence patterns among various stocks gained more importance. Measuring the dependency structure is critical for investors to manage their portfolio risks. Since the global financial crisis, resear...
Complete Characterization of a Class of Permutation Trinomial in Characteristic Five Grassl, Markus; Özbudak, Ferruh; Özkaya, Buket; Gülmez Temür, Burcu (2024-02-01) In this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f (x) = x4q+1 + λ1 x5q + λ2 x q+4 over the finite field F5k , which are not quasi- multiplicative equivalent to any of...
Circular Economy Practices in the Context of Emerging Economies Ali, Sadia Samar; Weber, Gerhard Wilhelm; Tirkolaee, Erfan Babaee; Goli, Alireza (2024-02-01)
PEER GROUP SITUATIONS AND GAMES WITH FUZZY UNCERTAINTY Özcan, İsmail; ALPARSLAN GÖK, Sırma Zeynep; Weber, Gerhard Wilhelm (2024-01-01) The social arrangement of organizations determines the potential possibilities of all group of agents in several economic and Operations Research (OR) situations. In this paper, a class of cooperative games in which agents...

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