Graduate School of Applied Mathematics, Conference / Seminar

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Weber, Gerhard Wilhelm (25)
Kestel, Sevtap Ayşe (21)
Karasözen, Bülent (16)
Cenk, Murat (14)
Yücel, Hamdullah (14)

Elliptic curve cryptography (4)
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Conference Paper (119)
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Recent Submissions

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)
Stochastic Discontinuous Galerkin Methods with Low-Rank Solvers for Convection Diffusion Equations
Çiloğlu, Pelin; Yücel, Hamdullah (2021-09-06)
To simulate complex kinds of behavior in physical systems, one makes predictions and hypotheses about certain outputs of interest with the help of simulation of mathematical models. However, due to the lack of knowledge or...
Residual based a posteriori error estimation for Dirichlet boundary control problems
Yücel, Hamdullah (2021-09-01)
We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discont...
Impact of Outliers in Mortality Rates on the Valuation of Life Annuities
Yavrum, Cem; Kestel, Sevtap Ayşe (2021-07-09)
Annuity pricing is essential to insurance companies for their financial liabilities. Therefore, one of the purposes of companies is to adjust the annuity prices using a forecasting model that fits their historical data ...
Time Dependent Stop-Loss Reinsurance and Exposure Curves
Mert, Özenç Murat; Kestel, Sevtap Ayşe (2021-07-09)
Time Dependent Stop-Loss Reinsurance and Exposure Curves
Mert, Özenç Murat; Kestel, Sevtap Ayşe (2021-07-09)
A New MILP Model for Matrix Multiplications with Applications to KLEIN and PRINCE
İlter, Murat Burhan; Selçuk, Ali Aydın (2021-01-01)
Mixed integer linear programming (MILP) models are applied extensively in the field of cryptanalysis. Finding the minimum number of active S-boxes and the best differential characteristic in a differential attack are two m...
Multi-fidelity aerodynamic dataset generation of a fighter aircraft
Kurt, Huseyin Burak; Millidere, Murat; Gomec, Fazıl Selcuk; Uğur, Ömür (2021-01-01)
High-fidelity aerodynamic dataset generation is one of the most significant components of the aircraft flight simulation, and, it is a time consuming and costly process. Data fusion techniques suggest that, instead of usin...
An Improved Range Proof with Base-3 Construction
Günsay, Esra; Onur, Cansu Betin; Cenk, Murat (2021-01-01)
© 2021 IEEE.Zero-knowledge protocols (ZKPs) allow a party to prove the validation of secret information to some other party without revealing any information about the secret itself. Appropriate, effective, and efficient u...
TMVP-Friendly Primes for Efficient Elliptic Curve Cryptography
Taskin, Halil Kemal; Cenk, Murat (2020-12-03)
The need for faster and practical cryptography is a research topic for decades. In case of elliptic curve cryptography, which was proposed by Koblitz and Miller in 1985 as a more efficient alternative to RSA, the applicati...
A Stabilized Finite Element Formulation for Numerical Simulation of Convection-dominated Reactive Models
Cengizci, Süleyman; Uğur, Ömür; Srinivasan, Natesan (2020-10-15)
In this talk, we are interested in the numerical solution of convection-dominated models with nonlin ear reaction mechanisms. The existence of the advection term(s) in the relevant models causes the numerical solutions ob...
A Streamline-Upwind/Petrov-Galerkin Formulation For Supersonic and Hypersonic Flow Simulations
Cengizci, Süleyman; Uğur, Ömür; Takizawa, Kenji; Tezduyar, Tayfun E. (2020-09-02)
In this talk, we deal with a simplified version of chemically reactive multi-species hypersonic flow around a cylinder. For this purpose, it is assumed that the flow environment only consists of nitrogen gas (N2), and no...
A SUPG Formulation for Solving a Class of Singularly Perturbed Steady Problems in 2D
Cengizci, Süleyman; Uğur, Ömür; Srinivasan, Natesan (2020-09-02)
In this presentation, approximate solutions of singularly perturbed partial differential equations are examined. It is a well-known fact that the standard Galerkin finite element method (GFEM) experiences some instability...
Comparison of Randomized Solutions for Constrained Vehicle Routing Problem
Demirci, Ibrahim Ethem; Ozdemir, Saziye Ece; Yayla, Oğuz (2020-06-01)
© 2020 IEEE.In this short paper, we study capacity constrained vehicle routing problem (CVRP) and its solution by randomized Monte Carlo methods. For solving CVRP we use some pseudorandom number generators commonly used in...
Partial Differential Equations with Random Input Data
Yücel, Hamdullah (2020-02-24)
Kalman based neural network analysis with resampling methods for longitudinal aerodynamic coefficient estimation
Millidere, Murat; Kurt, Huseyin Burak; Balli, Hakan; Uğur, Ömür (2020-01-01)
© 2020, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.Accurateness of the approximated aerodynamic characteristics of an unstable aircraft is considerably significant in flight control s...
A Parallel GPU Implementation of SWIFFTX
Ulu, Metin Evrim; Cenk, Murat (2020-01-01)
The SWIFFTX algorithm is one of the candidates of SHA-3 Hash Competition that uses the number theoretic transform (NTT). It has 256-byte input blocks and 65-byte output blocks. In this paper, a parallel implementation of t...
Modal analysis of elastic vibrations of incompressible materials based on a variational multiscale finite element method
Codina, Ramon; Türk, Önder (null; 2019-10-04)
In this study, we extend the standard modal analysis technique that is used to approximate vibration problems of elastic materials to incompressible elasticity. In modal analysis, the second order time derivative of the d...
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