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Graduate School of Applied Mathematics
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Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method
Codina, Ramon; Türk, Önder (2022-09-01)
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why ...
Stochastic Discontinuous Galerkin Methods for Robust Deterministic Control of Convection Diffusion Equations with Uncertain Coefficients,
Çiloğlu, Pelin; Yücel, Hamdullah (2022-04-12)
Solving Optimal Control Problems Containing Uncertain Coefficients with Stochastic Discontinuous Galerkin Methods
Çiloğlu, Pelin; Yücel, Hamdullah (2022-04-08)
Stochastic Discontinuous Galerkin Methods for Robust Deterministic Optimal Control
Çiloğlu, Pelin; Yücel, Hamdullah (2022-03-25)
HYBRID ANALYSIS OF TMVP FOR MODULAR POLYNOMIAL MULTIPLICATION IN CRYPTOGRAPHY
Efe, Giray; Cenk, Murat; Department of Cryptography (2022-3-07)
Polynomial multiplication on the quotient ring Z[x]/<x^n+-1> is one of the most fundamental, general-purpose operations frequently used in cryptographic algorithms. Therefore, a possible improvement over a multiplication a...
Stabilized Finite Element Simulations of Multispecies Inviscid Hypersonic Flows in Thermochemical Nonequilibrium
Cengizci, Süleyman; Uğur, Ömür; Tezduyar , Tayfun E.; Department of Scientific Computing (2022-3)
For both military and civil aviation purposes, rockets, missiles, and spacecraft moving at hypersonic speeds are being utilized in recent years. While these vehicles move at speeds five times the speed of sound or more, th...
Analyzes of Block Recombination and Lazy Interpolation Methods and Their Applications to Saber
Aksoy, Berkin; Cenk, Murat; Department of Cryptography (2022-2-28)
Since the beginning of the National Institute of Standards and Technology (NIST), The Post-Quantum Cryptography (PQC) Standardization Process, efficient implementations of lattice-based algorithms have been studied extensi...
Monotonicity of Liquidity sensitive Option Prices with respect to Market Liquidity Parameters
Kuş, Selin Özlem; Sezer, Ali Devin; Department of Financial Mathematics (2022-2-18)
Classical option pricing models assume that market prices of traded securities are given and independent of the actions of the traders. Recently, a number of option pricing models emerged where the impact of hedging transa...
SEISMIC FIRST ARRIVAL TRAVELTIME INVERSION HARNESSING PHYSICS INFORMED NEURAL NETWORKS
Yıldırım, İsa Eren; Uğur, Ömür; Waheed, Umair bin; Department of Scientific Computing (2022-2-11)
In Seismic prospecting, huge amounts of data are collected and processed to infer the structural and lithological composition of the subsurface. The key step in this procedure is velocity model building. First arrival trav...
Quality Enhancement of Computed Tomography Images of Porous Media Using Convolutional Neural Networks
Yıldırım, Ertuğrul Umut; Uğur, Ömür; Glatz, Guenther; Department of Scientific Computing (2022-2-11)
Computed tomography has been widely used in clinical and industrial applications as a non-destructive visualization technology. The quality of computed tomography scans has a strong effect on the accuracy of the estimated ...
INVESTOR ATTENTION AND STOCK PERFORMANCE: A SEARCH ENGINE OPTIMIZATION APPROACH
Gül, Abdullah Efe; Danışoğlu, Seza; Department of Financial Mathematics (2022-2-11)
This thesis proposes two new measures of investor attention: Search Traffic (ST) and Click Per Search (CPS). These two measures as well as the commonly used Google Search Volume Index (SVI) measure are constructed using a ...
Competing labels: a heuristic approach to pseudo-labeling in deep semi-supervised learning
Bayrak, Hamdi Burak; Ertekin Bolelli, Şeyda; Yücel, Hamdullah; Department of Scientific Computing (2022-2-10)
Semi-supervised learning is one of the dominantly utilized approaches to reduce the reliance of deep learning models on large-scale labeled data. One mostly used method of this approach is pseudo-labeling. However, pseudo-...
Analysis and Comparison of Fully Homomorphic Encryption Approaches Over Integers
Bozkurt, Cansu; Cenk, Murat; Betin Onur, Cansu; Department of Cryptography (2022-2-10)
The time period after the mid-20th century was named as information age or digital age. In that age, the world is being digitalized very fastly. The amount of data transferred and processed online is increasing rapidly. As...
Incorporation of Foreign Exchange Risk to Fama-French Factor Model: A Study on Borsa İstanbul
Höçük, Furkan; Gaygısız Lajunen, Esma; Department of Financial Mathematics (2022-2-10)
This empirical study compares the relative performances of the Fama-French five-factor model without foreign exchange risk and the five-factor model incorporating foreign exchange risk on capturing portfolio returns in Bor...
Performance of Electrical Power Flow Solvers: Case Studies
Ceylan, Özgün Ada; Uğur, Ömür; Department of Scientific Computing (2022-2-9)
Advancing technologies in distributed electrical generation and increasing amount of required electricity make electrical systems more complicated. Thus, the number of buses has increased and the size of incidence matrix f...
Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations
Çiloğlu, Pelin; Yücel, Hamdullah (2022-02-01)
We investigate numerical behaviour of a convection diffusion equation with random coefficients by approximating statistical moments of the solution. Stochastic Galerkin approach, turning the original stochastic problem to ...
The Impact of Large Investors on the Portfolio Optimization of Single-Family Houses in Housing Markets
Yılmaz, Bilgi; Korn, Ralf; Kestel, Sevtap Ayşe (2022-02-01)
As a consequence of the real estate market crash after 2008, large investors invested a significant amount of wealth into single-family houses to construct a portfolio of rental dwellings, whose income is securitized in th...
NEW EFFICIENT CHARACTERISTIC THREE POLYNOMIAL MULTIPLICATION ALGORITHMS AND THEIR APPLICATIONS TO NTRU PRIME
Yeniaras, Esra; Cenk, Murat; Department of Cryptography (2022-1-21)
Some of the post-quantum cryptographic protocols require polynomial multiplication in characteristic three fields, thus the efficiency of such multiplication algorithms gain more importance recently. In this thesis, we pro...
Stochastic Momentum Methods For Optimal Control Problems Governed By Convection-diffusion Equations With Uncertain Coefficients
Toraman, Sıtkı Can; Yücel, Hamdullah; Department of Scientific Computing (2022-1-6)
Many physical phenomena such as the flow of an aircraft, heating process, or wave propagation are modeled mathematically by differential equations, in particular partial differential equations (PDEs). Analytical solutions ...
Optimal Premium allocation understop-loss insurance using exposure curves
Mert, Özenç Murat; Kestel, Sevtap Ayşe (2022-01-01)
Determining the retention level in the stop-loss insurance risk premium for both insurerand reinsurer is an important factor in pricing. This paper aims to set optimal reinsurancewith respect to the joint behavior of the i...
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