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A new numerical scheme for stochastic control problems of jump-diffusion equations by means of Runge-Kutta method ALTINTAN, DERYA; Aydin, Elif; YILMAZ, FİKRİYE NURAY; Temoçin, Büşra Zeynep (2027-01-01) In this paper, a new numerical scheme for optimal control of jump-diffusion model is proposed by using stohastic Runge-Kutta (SRK) method. After discretizing the problem with the SRK method, optimality conditions are obtai...
On an open problem on permutation polynomials from self-reciprocal polynomials Grassl, Markus; Gülmez Temür, Burcu; Özbudak, Ferruh; Özkaya, Buket (2027-01-01) In this paper, we address two open problems posed by Martínez, Gupta and Quoos in [24] . We solve both problems completely and therefore generalize [28, Theorems 3.4 and 3.5] . We study polynomials of the form f(x)=x3g(xq−...
Generator matrices of quasi-cyclic codes Bayraktar, Gözde Cennet; Özbudak, Ferruh; Özkaya, Buket (2026-11-01) In this paper, we provide a complete solution to an open problem by applying the spectral method to the polynomial generator matrices of quasi-cyclic codes of arbitrary index, using the corresponding reduced Gröbner basis ...
Identification of a time-dependent perfusion coefficient in a 2D bioheat equation with mixed Dirichlet-Wentzell boundary conditions Ismailov, Mansur I.; Türk, Önder (2026-10-01) We investigate an inverse coefficient problem for the two-dimensional heat equation on rectangular domains subject to a non-classical boundary condition. Specifically, a Wentzell (dynamic) boundary condition is imposed on ...
Generalized spectral bound for quasi-twisted codes Özkaya, Buket (2026-09-01)
On the Carlet’s Bivariate APN Construction and Representations of Dobbertin Power Functions Erleblebici, İlksen Acunalp; SINAK, AHMET; Yayla, Oğuz (2026-07-16) In this paper we present necessary and sufficient conditions on some families of bivariate and biprojective almost perfect nonlinear (APN) functions. In the first part, we follow the extended methods given by Calderini et ...
SUSTAINABLE CASHEW SUPPLY CHAIN WITH RADIO FREQUENCY IDENTIFICATION: A HYBRID ROBUST OPTIMIZATION APPROACH Mondal, Arijit; Roy, Sankar Kumar; He, Shawei; Weber, Gerhard Wilhelm; Yu, Vincent F.; Jablonsky, Josef (2026-07-08) This study integrates forward and reverse logistics with sophisticated uncertainty modeling to create a technology-enabled, sustainable supply chain network for the cashew sector. A multi-objective mixed-integer programmin...
Analytical pricing of time dependent stop-loss reinsurance and exposure curves under time-changed Brownian motion Yilmaz, Bilgi; Hekimoglu, Ali Alper; Uğur, Ömür (2026-07-01) The risk transfer of insurers to reinsurers is one of the most vital operations in insurance markets. Stop-loss contracts are the most widely adopted contract type for such operations. Specifying the main factors, such as ...
Quantum circuit realization and Grover cryptanalysis of the hybrid ARX-SPN cipher GFSPX Ulgen, Ibrahim; ÇILDIROĞLU, HASAN ÖZGÜR; Yayla, Oğuz (2026-07-01) The security of classical symmetric-key primitives is fundamentally challenged by the emergence of quantum computing, necessitating a rigorous evaluation of their post-quantum resilience. This paper presents a comprehensiv...
An adaptive algorithm for shape optimization Altıntaş, Oğuz Han; Yücel, Hamdullah (2026-06-01) The numerical investigation of shape optimization problems is both computationally and theoretically more complex than solving direct analysis problems using the finite element method. The limitations are mainly due to the...
An analysis of Nitsche's prescription of Dirichlet conditions for the conforming finite element approximation of Maxwell's problem Boffi, Daniele; Codina, Ramon; Türk, Önder (2026-05-20) In this paper we consider the conforming finite element (FE) approximation of Maxwell's problem and analyse the prescription of essential boundary conditions in a weak sense using Nitsche's method. To avoid indefiniteness ...
Enhancing time series prediction accuracy with recursive EMD Açıkgöz, Gökberk; Zengin, Kerem; Büyükşahin, Ümit Çavuş; Bolelli, Alya Su; Ertekin Bolelli, Şeyda (2026-05-01) Time series prediction is critical in various domains, yet challenges such as non-stationarity, high volatility, and abrupt fluctuations often degrade model performance. Advanced architectures that excel in capturing compl...
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...
hp Analysis of Nitsche’s method for Maxwell’s problem using a stabilised finite element formulation Boffi, Daniele; Codina, Ramon; Türk, Önder (2026-01-01) The paper presents an hp analysis of Nitsche’s method applied to Maxwell’s problem using a stabilised finite element (FE) formulation. While the FE formulation and the weak imposition of Dirichlet boundary conditions have ...
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....
Quantum grover attack on MIBS ÇILDIROĞLU, HASAN ÖZGÜR; Basmaci, Harun; Yayla, Oğuz (2026-01-01) The advent of quantum computing necessitates a rigorous reassessment of classical cryptographic primitives, particularly lightweight block ciphers (LBCs) deployed in resource-constrained environments. This work presents a ...

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