Graduate School of Applied Mathematics, Conference / Seminar

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Recent Submissions

Solving Optimal Control Problems Containing Uncertainty Yücel, Hamdullah; Çiloğlu, Pelin (2022-08-29)
Optimal Dynamic Ruin Probabilities for Heavy-Tailed Losses Under Reinsurance Strategies Yıldırım Külekci, Bükre; Korn, Ralf; Kestel, Sevtap Ayşe (2022-07-12) In recent years, extreme events are appearing to increase both in frequency and severity in many different areas. Insurance mechanism provides safe protection for extreme losses in the frame of risk management solutions. ...
Numerical Modeling of Hypersonic Air and Carbon Dioxide Flows in Thermochemical Non-Equilibrium with SU2-NEMO Solver Çelik, Mutlu; Uğur, Ömür; Eyi, Sinan (2022-06-23) Modeling of hypersonic aerothermodynamics in non-equilibrium flow is a challenging problem of aircraft design. Especially, prediction of atmospheric reentry and other planet’s entry heat loads are significant for aerospace...
Solving PDE-constrained optimization problems containing random coefficients Yücel, Hamdullah (2022-05-18)
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)
Gröbner Basis Attack on STARK-Friendly Symmetric-Key Primitives: JARVIS, MiMC and GMiMCerf Kara, Gizem; Yayla, Oğuz (2022-01-01) © 2022 IEEE.A number of arithmetization-oriented ciphers emerge for use in advanced cryptographic protocols such as secure multi-party computation (MPC), fully homomorphic en-cryption (FHE) and zero-knowledge proofs (ZK) i...
Improved Polynomial Multiplication Algorithms over Characteristic Three Fields and Applications to NTRU Prime Yeniaras, Esra; Cenk, Murat (2022-01-01) © 2022, Springer Nature Switzerland AG.This paper introduces a new polynomial multiplication algorithm which decreases the arithmetic complexity and another modified algorithm that speeds up the implementation run-time ove...
Analysis of Block Recombination and Lazy Interpolation Methods and Their Applications to Saber Aksoy, Berkin; Cenk, Murat (2022-01-01) © 2022 IEEE.Since the beginning of the National Institute of Standards and Technology (NIST), The Post-Quantum Cryptog-raphy (PQC) Standardization Process, efficient implementations of lattice-based algorithms have been st...
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...
Ruin Probability in Heavy-Tailed Claims with Extreme Value Theory Yıldırım Külekci, Bükre; Karabey, Uğur; Kestel, Sevtap Ayşe (2021-09-05)
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...
Time Dependent Stop-Loss Reinsurance and Exposure Curves Mert, Özenç Murat; Kestel, Sevtap Ayşe (2021-07-09)
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)
Implementation Analysis of Cryptography Toolbox in Hyperledger Simsek, Ahmet; Tasci, Buse; Yayla, Oğuz (2021-01-01) © 2021 IEEE.Hyperledger was set up with the aim of being an open-source platform targeted at accelerating industry-wide collaboration hosted by The Linux Foundation for developing robust and dependable blockchain and distr...
Social Entrepreneurship Business Models for Handicapped People—Polish & Turkish Case Study of Sharing Public Goods by Doing Business Czerkawski, Dominik; Małecka, Joanna; Weber, Gerhard Wilhelm; Kjamili, Berat (2021-01-01) © 2021, Springer Nature Switzerland AG.Entrepreneurship is a complex issue, having an interdisciplinary character, which definitely constitutes a set of personality traits expressed in the entrepreneur’s attitude. This bac...
An Improved Range Proof with Base-3 Construction Günsay, Esra; Onur, Cansu Betin; Cenk, Murat (2021-01-01) 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 use of crypto...
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...

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