Graduate School of Applied Mathematics

Item Usage Stats

Browse

Search within this community and its collections:

Collections in this community

Filters

Entity Type
Publication (760)
Thesis (466)
Project (91)
Researcher (42)
Open Course (1)

Has File(s)
No (712)
Yes (648)

Author
Weber, Gerhard Wilhelm (219)
Karasözen, Bülent (98)
Kestel, Sevtap Ayşe (94)
Yayla, Oğuz (68)
Uğur, Ömür (62)

Subject
Natural Sciences (101)
Engineering and Technology (63)
Cryptography. (55)
Applied Mathematics (41)
Management Science and Operations Research (37)

Date Issued
1991 - 1999 (10)
2000 - 2009 (177)
2010 - 2019 (644)
2020 - 2027 (529)

Item Type
Journal Article (506)
Master Thesis (315)
Conference Paper (184)
Ph.D. Thesis (151)
Project (70)

Recent Submissions

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...
Tailored Limb Counts, Faster Arithmetic: Improved TMVP Decompositions for Curve5453 and Curve6071 Cenk, Murat; Kilic, N. Gamze Orhon; Taskim, Halil Kemal; Yayla, Oğuz (2027-01-01) Curve5453 and Curve6071 are Montgomery curves over the primes 2(545) -3 and 2(607) -1, providing 271- and 302-bit classical security, respectively. Their TMVP-based field multiplication in 10-limb representation costs 77 m...
Framework Design for Privacy Preserving Machine Learning in a 6G Vehicular Network Ucar, Alper Umut; Yayla, Oğuz (2027-01-01) The transition to sixth-generation telecommunications introduces a paradigm shift in vehicular networks, enabling hyper-connected autonomous driving through advanced machine learning. However, training these models require...
Analysis and Comparison of Fully Homomorphic Encryption Approaches over Integers Bozkurt, Gansu; Cenk, Murat; Yayla, Oğuz (2027-01-01) Performing computations on encrypted data by first decrypting it causes security flaws. Fully Homomorphic Encryption (FHE) algorithms enable computations on encrypted data without decryption, overcoming the limitations of ...
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 ...
Implementation and validation of pseudorandom number generator based on Chua's circuit Şahin, Barış; Demirköz, Melahat Bilge; Yayla, Oğuz; Department of Cryptography (2026-9-28) Chaotic systems, which are hypersensitive to initial conditions and minor changes in system parameters, are prominently utilizable for cryptographic hardware applications. The objective of this study is to construct a cryp...
BEYOND OWNERSHIP: REPRESENTING ATTRIBUTES, TRUST, AND RIGHTS IN DECENTRALIZED SYSTEMS Pekel, Umut; Yayla, Oğuz; Department of Cryptography (2026-9-28) Blockchain systems were originally designed to maintain balances, ownership records, token identifiers, and transactional state without relying on a single trusted intermediary. These abstractions remain central to decentr...
An Integrated Stochastic Framework for Hybrid Pension Valuation under Mortality and Interest Rate Risk Yıldırım Külekci, Bükre; Kestel, Sevtap Ayşe (2026-09-09)
Physics-Informed Neural Networks for Laplace and Steklov Eigenvalue Problems Zengin, Kerem; Türk, Önder; Department of Scientific Computing (2026-9-03) This thesis investigates Physics-Informed Neural Network (PINN) approximations of the Laplace and Steklov eigenvalue problems (EVPs). For the Laplace EVP, the principal formulation choices, which appear in various forms in...
On the generalization and efficiency optimization of hybrid multiplication algorithms Cihangir, Mehmet Özgün; Yayla, Oğuz; Department of Cryptography (2026-9-1) Cryptography is the science of the privacy and security of the data in our casual lives. This has given rise to the acceleration of the search on powerful and secure cryptographic systems throughout the history. These stud...
Framework design for privacy preserving machine learning in a 6G vehicular network Uçar, Alper Umut; Yayla, Oğuz; Department of Cryptography (2026-9) The transition to sixth-generation (6G) telecommunications introduces a paradigm shift in vehicular networks, enabling hyper-connected autonomous driving through advanced machine learning. However, training these models re...
Generalized spectral bound for quasi-twisted codes Özkaya, Buket (2026-09-01)
An Adaptive Computational Framework for Structural Shape Optimization: Deterministic and Robust Formulations Altıntaş, Oğuz Han; Yücel, Hamdullah; Department of Scientific Computing (2026-8-28) This thesis develops, analyzes, and implements a computationally efficient, fully adaptive algorithmic framework for robust structural shape optimization problems governed by the linear elasticity system, with the objectiv...
Accelerated Scenario-Based Portfolio Risk and Optimization with Derivatives Tokmak, Bahri; Uğur, Ömür; Department of Scientific Computing (2026-8-22) Scenario-based risk measurement and portfolio optimization for derivative-containing portfolios require heterogeneous instruments to be revalued under many simulated market states. This becomes computationally demanding fo...
Application-Driven Error Correction and Constrained Coding Solutions for Modern Conventional and DNA Data Storage İrimağzı, Canberk; Hareedy, Ahmed; Department of Cryptography (2026-8) With the continuous rise in the amounts of data being processed and stored by modern applications, requirements from data storage devices keep getting higher. DNA data storage is a new technology that promises remarkable ...
Local verifiability in aggregate and multi-signature schemes: from pairing-based constructions to post-quantum lattice assumptions Yaman Gökce, Neslihan; Yayla, Oğuz; Ağırtaş, Ahmet Ramazan; Department of Cryptography (2026-8) Digital signature schemes are indispensable cryptographic primitives for ensuring au- thenticity, integrity, and non-repudiation in modern communication systems. Aggre- gate signatures and multi-signatures improve the effi...
Design and Analysis of Compact, Pairing-Free Distributed Verifiable Random Functions Özer, Arda Buğra; Yayla, Oğuz; Saygı, Zülfükar; Department of Cryptography (2026-7-31) Verifiable Random Functions (VRFs) are cryptographic primitives that generate unpredictable randomness together with a publicly verifiable proof of correct generation following the protocol, a critical requirement for dece...
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 ...

Citation Formats