Graduate School of Applied Mathematics, Article

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Recent Submissions

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 ...
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...
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...
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...
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition Ismailov, Mansur I.; Türk, Önder (2023-12-01) In this paper we present the inverse problem of determining a time dependent heat source in a two-dimensional heat equation accompanied with Dirichlet–Neumann–Wentzell boundary conditions. The model is of significant pract...
On the information content of implied liquidity measure: Evidence from the S&P 500 index options Yerli, Cigdem; Eksi-Altay, Zehra; Kestel, Sevtap Ayşe (2023-11-01) This paper aims to unfold the information content of the implied liquidity measure, which is introduced through the Conic Finance theory and considered a proxy for the market liquidity level. We propose a partial informati...
Mathematical encouragement of companies to cooperate by using cooperative games with fuzzy approach Özcan, Ismail; Sledzinski, Jacek Dominik; Gök, Sırma Zeynep Alparslan; Butlewski, Marcin; Weber, Gerhard Wilhelm (2023-10-01) In this paper, we will analyze the phenomenon of strategic cooperation between companies competing with each other so far. The analysis will concern the real situation of establishing a strategic alliance between companies...
Quasi-twisted codes as contractions of quasi-cyclic codes Özkaya, Buket; Özbudak, Ferruh (2023-10-01)
Hybrid wavelet-neural network models for time series Kılıç, Deniz Kenan; Uğur, Ömür (2023-09-01) The use of wavelet analysis contributes to better modeling for financial time series in the sense of both frequency and time. In this study, S&P500 and NASDAQ data are separated into several components utilizing multiresol...
Inventory model involving reworking of faulty products with three carbon policies under neutrosophic environment Barman, Haripriya; Roy, Sankar Kumar; Sakalauskas, Leonidas; Weber, Gerhard Wilhelm (2023-08-01) The increasing in industry as well as usage of vehicles for transporting products generate many problems to the environment such as greenhouse gas emission and global warming. As nowadays environmental pollution has become...
A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction–convection–diffusion equations Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (2023-07-01) In this computational study, stabilized finite element solutions of convection-dominated stationary and linear reaction–convection–diffusion equations are studied. Although the standard (Bubnov–) Galerkin finite element me...
Butson-Hadamard matrices and Plotkin-optimal codes over DOUBLE-STRUCK CAPITAL Z(pe) Acar, Damla; SARAÇ, BÜLENT; Yayla, Oğuz (2023-06-01) In this paper, we deal with codes obtained from Butson-Hadamard matrices, called BH codes, focusing on their minimum distances. We first consider the usual Hamming distance and find lower bounds for distances of BH codes. ...
BIST100 Bankacılık Sektöründeki Bağımlılığın Asma Kopula ile İncelenmesi Yıldırım Külekci, Bükre; Poyraz, Gülden; Gür, Ismail; Evkaya, Ozan (2023-06-01) The frequently observed time-varying trends and dependence in recent years within financial markets have been essential for modeling and pricing. This study aims to analyze the dependence structure of banking sector sto...
Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems Bahadır, Eylem; Türk, Önder (2023-04-01) In this study, we aim to analyze the effects of several boundary variations on the spectrum of the simplified and generalized Steklov eigenvalue problems (EVPs) in which the spectral parameter resides on the boundary. We m...
Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients Çiloğlu, Pelin; Yücel, Hamdullah (2023-04-01) We investigate a numerical behavior of robust deterministic optimal control problem subject to a convection-diffusion equation containing uncertain inputs. Stochastic Galerkin approach, turning the original optimization pr...
A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers Cengizci, Süleyman; Uğur, Ömür (2023-04-01) This computational study is concerned with the numerical solutions of Burgers’-type equations at high Reynolds numbers. The high Reynolds numbers drive the nonlinearity to play an essential role and the equations to become...

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