Graduate School of Applied Mathematics, Article

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Recent Submissions

A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers
Cengizci, Süleyman; Uğur, Ömür (2023-04-01)
© 2022 Elsevier Inc.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...
Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems
Bahadır, Eylem; Türk, Önder (2023-04-01)
© 2022 Elsevier B.V.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 o...
A stochastic gradient algorithm with momentum terms for optimal control problems governed by a convection–diffusion equation with random diffusivity
Toraman, Sıtkı Can; Yücel, Hamdullah (2023-04-01)
© 2022 Elsevier B.V.In this paper, we focus on a numerical investigation of a strongly convex and smooth optimization problem subject to a convection–diffusion equation with uncertain terms. Our approach is based on stocha...
An Introduction to the Special Issue "Recent advances on supply chain network design"
Lotfi, Reza; Weber, Gerhard Wilhelm (2022-12-01)
Discussions of the resiliency, sustainability, and agility of supply chains are important in the research and management of supply chains in these difficult times, considering the ongoing pandemic of COVID-19. A viable sup...
Optimal Capacity Allocation in accordance with Renewable Energy Sources: The US Electricity Market
Gölbaşı, Umut; Yılmaz, Bilgi; Kestel, Sevtap Ayşe (2022-09-01)
SUPG-YZ beta computation of chemically reactive convection-dominated nonlinear models
Cengizci, Suleyman; Uğur, Ömür; Natesan, Srinivasan (2022-09-01)
In this computational study, we deal with the stabilized finite element solutions of convection-dominated models having nonlinear reaction mechanisms. The existence of advection terms in these models causes the numerical s...
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 ...
The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace
Çakıroğlu, Yağmur; Yayla, Oğuz; Yılmaz, Emrah Sercan (2022-08-01)
We present the formula for the number of monic irreducible polynomials of degree n over the finite field F-q where the coefficients of x(n)(-1) and x vanish for n >= 3. In particular, we give a relation between rational po...
Faster NTRU on ARM Cortex-M4 With TMVP-Based Multiplication
Keskinkurt Paksoy, İrem; Cenk, Murat (2022-07-01)
This paper focuses on speeding up NTRU -one of the lattice-based finalists of the NIST PQC competition -by improving the ring multiplication. The Number Theoretic Transform (NTT), Toom-Cook, and Karatsuba are the most comm...
House Prices as a Result of Trading Activities: A Patient Trader Model
Korn, Ralf; Yılmaz, Bilgi (2022-06-01)
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.We present a new modeling approach for house price movements as a consequence of the trading behavior of marke...
Preface: operations research in neuroscience III
Tikidji-Hamburyan, Ruben A.; Kropat, Erik; Weber, Gerhard Wilhelm (2022-5-01)
Risk Distribution Among Uncorrelated Risk Factors: Diversified Risk Parity
Yerli, Çiğdem; Kestel, Sevtap Ayşe (2022-03-01)
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...
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 ...
Application of blockchain technology and internet of things in uroflowmetry for clinical trials: A pilot test
COŞKUN, BELKIS NİHAN; Yayla, Oğuz; Yıldız, Hüsnü (2022-02-01)
A robust time-cost-quality-energy-environment trade-off with resource-constrained in project management: A case study for a bridge construction project
Lotfi, Reza; Yadegari, Zahra; Hosseini, Seyed Hossein; Khameneh, Amir Hossein; Tirkolaee, Erfan Babaee; Weber, Gerhard Wilhelm (2022-01-01)
Sustainable development requires scheduling and implementation of projects by considering cost, environment, energy, and quality factors. Using a robust approach, this study investigates the time-cost-quality-energy-enviro...
Optimal Limit Order Book Trading Strategies with Stochastic Volatility in the Underlying Asset
Aydoğan, Burcu; Uğur, Ömür; Aksoy, Ümit (2022-1-01)
In quantitative finance, there have been numerous new aspects and developments related with the stochastic control and optimization problems which handle the controlled variables of performing the behavior of a dynamical s...
The prediction power of machine learning on estimating the sepsis mortality in the intensive care unit
Selcuk, Mehtap; Koç, Oğuz; Kestel, Sevtap Ayşe (2022-01-01)
Background: The prediction of sepsis mortality of intensive care unit (ICU) observations using machine learning (ML) methods is hypothesized to yield better or as good as performance compared to the prognostic scores. This...
Default and prepayment options pricing and default probability valuation under VG model
Yilmaz, Bilgi; Hekimoglu, A. Alper; Kestel, Sevtap Ayşe (2022-01-01)
In this paper, a new approach, the Variance Gamma (VG) model, which is used to capture unexpected shocks (e.g., Covid-19) in housing markets, is proposed to contribute to the standard option-based mortgage valuation method...
A novel model for sustainable waste collection arc routing problem: Pareto-based algorithms
Tirkolaee, Erfan Babaee; Goli, Alireza; Gutmen, Selma; Weber, Gerhard Wilhelm; Szwedzka, Katarzyna (2022-01-01)
Municipal solid waste (MSW) management is known as one of the most crucial activities in municipalities that requires large amounts of fixed/variable and investment costs. The operational processes of collection, transport...
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