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 ...
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...
On some permutation trinomials in characteristic three Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
New distance bounds for quasi-cyclic codes Özkaya, Buket; Özbudak, Ferruh (2024-07-01)
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...
On a class of permutation trinomials over finite fields Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
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 ...
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 ...
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 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 ...
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 ...
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)
Improved Spectral Bound for Quasi-Cyclic Codes Luo, Gaojun; Ezerman, Martianus Frederic; Ling, San; Özkaya, Buket (2024-01-01) Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes. Based on the eigenvalues of quasi-cyclic...
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...
A COMPARATIVE AND ILLUSTRATIVE STUDY FOR SOLVING SINGULARLY PERTURBED PROBLEMS WITH TWO PARAMETERS CEngizci, S.; Uğur, Ömür (2024-01-01) This computational study concerns approximate solutions of singularly perturbed one-dimensional boundary-value problems having perturbed convection and diffusion terms. Such kinds of problems take different stands dependin...
DSSA: DIRECT SIMPLIFIED SYMBOLIC ANALYSIS USING METAHEURISTIC-DRIVEN CIRCUIT MODELLING Shokouhifar, Mohammad; Yazdanjouei, Hossein; Weber, Gerhard Wilhelm (2024-01-01) Symbolic simplification of analog circuits is a computationally challenging problem due to the exponential growth of the number of symbolic terms with the circuit size. In recent years, researchers have proposed various me...
Fluctuations of an omega-type killed process in discrete time Şimşek, Meral; Ramsden, Lewis; Papaioannou, Apostolos D. (2024-01-01) The theory of the so-called Wq and Zq scale functions is developped for the fluctuations of right-continuous discrete time and space killed random walks. Explicit expressions are derived for the resolvents and two-sided ex...

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