A shock-detecting sensor for filtering of high-order compact finite difference schemes. - Hossein Mahmoodi Darian; Vahid Esfahanian; Kazem Hejranfar (J. Comput. Phys., 2011)

A discontinuous Galerkin method with block cyclic reduction solver for simulating compressible flows on GPUs. - Behzad Baghapour; Vahid Esfahanian; Mohammad Torabzadeh; Hossein Mahmoodi Darian (Int. J. Comput. Math., 2015)

An efficient GPU-based fractional-step domain decomposition scheme for the reaction-diffusion equation. - Ali Foadaddini; Seyed Alireza Zolfaghari; Hossein Mahmoodi Darian; Hamid Saadatfar (Comput. Appl. Math., 2020)

Investigation of C++ Variadic Templates for Numerical Methods and Finite Difference Schemes. - Hossein Mahmoodi Darian (SIAM J. Sci. Comput., 2021)

A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems. - Ali Foadaddini; Seyed Alireza Zolfaghari; Hossein Mahmoodi Darian; Hamid Saadatfar (Comput. Math. Appl., 2022)

Combined WENO schemes for increasing the accuracy of the numerical solution of conservation laws. - Hossein Mahmoodi Darian (CoRR, 2024)

The optimal relaxation parameter for the SOR method applied to the Poisson equation on rectangular grids with different types of boundary conditions. - Hossein Mahmoodi Darian (CoRR, 2025)