Graduate School of Applied Mathematics, Article

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Recent Submissions

Increasing and other subsequence problems for random interval sequences Arslan, İlker; Işlak, Ümit (2026-05-01) Various relations for comparison of intervals of real numbers are introduced, and the expected length of the corresponding longest increasing subsequence is analyzed. When intervals are randomly generated by taking the min...
A PINN-enhanced SUPG-stabilized hybrid finite element framework with shock-capturing for computing steady convection-dominated flows Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (2026-05-01) This study introduces a novel hybrid machine learning (ML) framework for solving steady-state, advection-dominated convection–diffusion–reaction (CDR)-type partial differential equations (PDEs). The approach enhances stabi...
Comparative Analysis of Weather-Based Indexes and the Actuaries Climate IndexTM for Crop Yield Prediction and Weather-Derivative Pricing Yavrum, Cem; Kestel, Sevtap Ayşe; Garrido, José (2026-05-01) Climate change poses significant challenges to the agricultural and financial sectors, affecting crop productivity and the overall financial stability. This study evaluates the robustness of the Actuaries Climate IndexTM(A...
PIR Schemes from nD-Cyclic and nD-Constacyclic Codes and Their Monomial Equivalence Grassl, Markus; Yılmaz, Burcu Ecem; Özbudak, Ferruh; Özkaya, Buket (2026-02-01)
Strong Order Runge-Kutta Method for Stochastic Optimal Control Problems of the Merton Jump Diffusion Model YILMAZ, FİKRİYE NURAY; Aydın, Elif; Temoçin, Büşra Zeynep; ALTINTAN, DERYA (2026-01-01) This paper studies stochastic Runge-Kutta (SRK) approximation for solving stochastic optimal control problems where the state process is governed by Merton's jump-diffusion model. We propose a practical numerical scheme ba...
HESITANT FUZZY LINGUISTIC MATRIX GAME AND ITS APPLICATION IN MCDM PROBLEM Jana, Jishu; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2026-01-01) . This study focuses on how to establish a connection between game theory and decision making under an uncertain environment. To tackle this uncertainty, an expansion of the hesitant fuzzy set and linguistic term set, i.e....
Analysis of clustering and degree index in random graphs and complex networks Işlak, Ümit; YEŞİLOĞLU, BARIŞ (2026-01-01) The purpose of this paper is to analyze the degree index and the clustering index in dense random graphs. The degree index in our setup is a certain measure of degree irregularity whose basic properties are well studied in...
Multi-criteria group decision-making method using Spherical Fuzzy Z-Numbers for smart technology revolution in municipal waste management Ashraf, Shahzaib; Naeem, Muhammad; Jana, Chiranjibe; Akram, Maria; Weber, Gerhard Wilhelm (2025-12-01) Due to the new phenomenon of globalization and the fast growing cities, there is drastic pressure on the conventional methods of waste management hence the need for innovative management wastage that is proactive to the th...
A Machine Learning Integrated Portfolio Rebalance Framework with Risk Aversion Adjustment Temoçin, Büşra Zeynep (2025-12-01)
THE k-PROPORTIONAL τ-VALUE: EXTENDING COOPERATIVE SOLUTIONS IN BIG BOSS GAMES Ozcan, Ismail; Weber, Gerhard Wilhelm (2025-10-25) . In this study, we introduce the k-proportional tau-value, a novel generalization of the tau-value for cooperative games, achieved by modifying the minimal right vector with a proportionality factor, k. We derive this sol...
Quantum implementation of SLIM and its Grover cryptanalysis ÇILDIROĞLU, HASAN ÖZGÜR; Yayla, Oğuz (2025-10-01) We present a novel quantum implementation of SLIM, a lightweight 32/80-bit Feistel cipher. By inverting its Key addition-Substitution-Permutation (KSP) layers without ancillary qubits, we construct the full quantum circuit...
Linearly Implicit Exponential Integrators for Damped Hamiltonian Pdes UZUNCA, MURAT; Karasözen, Bülent (2025-09-29) We construct second-order structure-preserving two-step linearly implicit exponential integrators for Hamiltonian partial differential equations with linear constant damping combining discrete gradient methods and polariza...
Clique structure and other network properties of the tensor product of Erdős–Rényi graphs Işlak, Ümit; İncekara, Buğra (2025-06-01) We analyze the number of cliques of given size and the size of the largest clique in tensor product G × H of two Erdős–Rényi graphs G and H. Then an extended clustering coefficient is introduced and is studied for G × H. R...
Energy dissipation preserving physics informed neural network for Allen–Cahn equations Kütük, Mustafa; Yücel, Hamdullah (2025-05-01) This paper investigates a numerical solution of Allen–Cahn equation with constant and degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic and random initial functions, and with advec...
Fluctuations of Omega-killed level-dependent spectrally negative Lévy processes Palmowski, Zbigniew; Şimşek, Meral; Papaioannou, Apostolos D. (2025-03-01) In this paper, we solve exit problems for a level-dependent Lévy process which is exponentially killed with a killing intensity that depends on the present state of the process. Moreover, we analyse the respective resolven...
Multi-objective sustainable inventory model with shortages and radio frequency identification under uncertain environment Mukherjee, Alay Kumar; Maity, Gurupada; Jablonsky, Josef; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2025-01-01) This study analyses the multi-objective inventory optimisation, where demand is influenced by both selling price and marketing efforts. In traditional inventory problem, profit or cost is optimised through single objective...
STOCK PRICE MODELLING OF INDONESIAN BANKS: FORECASTING MODELLING Simarmata, Justin Eduardo; Weber, Gerhard Wilhelm; Baldemor, Milagros R.; Chrisinta, Debora (2025-01-01) Stock of banks in Indonesia are targeted for investors to invest in order to benefit from the distribution of dividends and capital gains. Proper observation is needed in selecting stocks as an investment place to avoid th...
Hitting probabilities of constrained random walks representing tandem networks Sezer, Ali Devin (2025-01-01) We develop anapproximation for the buffer overflow probability of a stable tandem network in dimensions three or more. The overflow event in terms of the constrained random walk representing the network is the following: t...
TWO-MACHINE FLOW SHOP TASK SCHEDULING USING A HYBRID GRAVITATIONAL SEARCH ALGORITHM CALLED SAGSA Hajiabadi, Mahdi Rohani; Amlashi, Reza Homayouni; Rahmani Hosseinabadi, Ali Asghar; Hosseinabadi, Rahmani; Weber, Gerhard Wilhelm (2025-01-01) The fundamental problem of task scheduling is how to strategically distribute a large number of jobs to appropriate processors while maximizing one or more goals under particular time and resource restrictions. Within a du...
Families of sequences with good family complexity and cross-correlation measure Doğan, Kenan; ŞAHİN, MURAT; Yayla, Oğuz (2025-01-01) In this paper, we examine the pseudorandomness of a family of sequences with respect to two key measures: family complexity (f-complexity) and cross-correlation measure of order ℓ. Our study encompasses sequences over both...

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