13- A. Kaya, (2022) Inverse preconditioner and LU factorization with shifted-Laplacian in half precision for Helmholtz equation (in preperation)
12- A. Kaya, (2022) Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D: Numerical Mathematics Theory, Methods and Applications (online)
11- A. Kaya, M. Freitag (2022) Low rank approximations to stochastic Helmholtz equation, Journal of Computational and Applied Mathematics (revised)
10- A. Kaya, M. Freitag (2022) Conditioning analysis for discerete Helmholtz problems , Computers and Mathematics with Applications, 118 , Pages171-181
9- A. Kaya, (2020) Multigrid as an exact solver, arXiv:2101.12005
8- B. Aksoylu, A. Kaya (2019) On smoothers for multigrid of the second kind, Numerical Linear Algebra with Applications, Volume 26, Issue 6
7- B. Aksoylu, A. Kaya, (2018) Conditioning and error analysis for nonlocal problems with local boundary conditions, Journal of Computational and Applied Mathematics, Volume 335, Pages 1-19
6- A. Kaya, (2015) Finite difference approximations of multidimensional unsteady convection–diffusion–reaction equations, Journal of Computational Physics , Volume 285, Pages 331-349
5- A. Kaya, A. Sendur (2015) Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid, Journal of Computational Physics, Volume 300, Pages 574,591
4- A. Kaya, (2014) A finite difference scheme for multidimensional convection–diffusion–reaction equations, Computer Methods in Applied Mechanics and Engineering, Volume 278, Pages 347-360
3- A. Sendur, A. Nesliturk, A. Kaya, (2014) Applications of the pseudo residual-free bubbles to the stabilization of the convection–diffusion–reaction problems in 2D, Computer Methods in Applied Mechanics and Engineering, Volume 277, Pages 154-179
2- A. Kaya, (2018) Numerical methods for nonlocal equations, PhD thesis, Izmir Institute of Technology
1- A. Kaya, (2013) Pseudo residual-free bubble functions for the stabilization of convection-diffusion-reaction prolems, Master thesis, Izmir Institute of Technology