A note on the Taylor's decomposition on four points for a third-order differential equation. - Allaberen Ashyralyev; Doghonay Arjmand (Appl. Math. Comput., 2007)

Taylor's decomposition on four points for solving third-order linear time-varying systems. - Allaberen Ashyralyev; Doghonay Arjmand; Muhammet Köksal (J. Frankl. Inst., 2009)

Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems. - Doghonay Arjmand; Olof Runborg (Multiscale Model. Simul., 2014)

A time dependent approach for removing the cell boundary error in elliptic homogenization problems. - Doghonay Arjmand; Olof Runborg (J. Comput. Phys., 2016)

Estimates for the Upscaling Error in Heterogeneous Multiscale Methods for Wave Propagation Problems in Locally Periodic Media. - Doghonay Arjmand; Olof Runborg (Multiscale Model. Simul., 2017)

Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature. - Doghonay Arjmand; Mikhail Poluektov; Gunilla Kreiss (Adv. Comput. Math., 2018)

Temporal upscaling in micromagnetism via heterogeneous multiscale methods. - Doghonay Arjmand; Stefan Engblom; Gunilla Kreiss (J. Comput. Appl. Math., 2019)

Modelling long-range interactions in multiscale simulations of ferromagnetic materials. - Doghonay Arjmand; Mikhail Poluektov; Gunilla Kreiss (Adv. Comput. Math., 2020)

A parabolic local problem with exponential decay of the resonance error for numerical homogenization. - Assyr Abdulle; Doghonay Arjmand; Edoardo Paganoni (CoRR, 2020)

Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields. - Assyr Abdulle; Doghonay Arjmand; Edoardo Paganoni (CoRR, 2020)

An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization. - Assyr Abdulle; Doghonay Arjmand; Edoardo Paganoni (Multiscale Model. Simul., 2023)

Solving elliptic PDEs in unbounded domains. - Doghonay Arjmand; Filip Marttala (CoRR, 2024)

Efficient low rank approximations for parabolic control problems with unknown heat source. - Doghonay Arjmand; Maksat Ashyraliyev (J. Comput. Appl. Math., 2024)

A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics. - Doghonay Arjmand; Victor Martinez Calzada (Adv. Comput. Math., 2025)