A smart nonstandard finite difference scheme for second order nonlinear boundary value problems. - Utku Erdogan; Turgut Özis (J. Comput. Phys., 2011)

Numerical solution of Burgers' equation with high order splitting methods. - Muaz Seydaoglu; Utku Erdogan; Turgut Özis (J. Comput. Appl. Math., 2016)

Positivity preserving scheme based on exponential integrators. - Sila Övgü Korkut; Utku Erdogan (Appl. Math. Comput., 2018)

An efficient numerical treatment for the asymptotic behaviour of the nonlinear Airy-type problems. - Muaz Seydaoglu; Hüseyin Koçak; Utku Erdogan (J. Comput. Appl. Math., 2020)

Strong convergence of a GBM based tamed integrator for SDEs and an adaptive implementation. - Utku Erdogan; Gabriel J. Lord (J. Comput. Appl. Math., 2022)

Weak Convergence Of Tamed Exponential Integrators for Stochastic Differential Equations. - Utku Erdogan; Gabriel J. Lord (CoRR, 2023)

Numerical approximation of SDEs driven by fractional Brownian motion for all H∈(0, 1) using WIS integration. - Utku Erdogan; Gabriel J. Lord; Roy B. Schieven (CoRR, 2024)

ExpTamed: An exponential tamed optimizer based on Langevin SDEs. - Utku Erdogan; Sahin Isik; Yildiray Anagün; Gabriel J. Lord (Neurocomputing, 2025)

Preserving invariant domains and strong approximation of stochastic differential equations. - Utku Erdogan; Gabriel J. Lord (CoRR, 2025)