Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes. - Mehdi Dehghan 002; Davoud Mirzaei (Comput. Phys. Commun., 2009)

Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. - Davoud Mirzaei; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2010)

Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method. - Davoud Mirzaei; Robert Schaback (Numer. Algorithms, 2014)

Analysis of moving least squares approximation revisited. - Davoud Mirzaei (J. Comput. Appl. Math., 2015)

Error bounds for GMLS derivatives approximations of Sobolev functions. - Davoud Mirzaei (J. Comput. Appl. Math., 2016)

A Petrov-Galerkin Kernel Approximation on the Sphere. - Davoud Mirzaei (SIAM J. Numer. Anal., 2018)

Numerical Simulation and Error Estimation of the Time-Dependent Allen-Cahn Equation on Surfaces with Radial Basis Functions. - Vahid Mohammadi; Davoud Mirzaei; Mehdi Dehghan 002 (J. Sci. Comput., 2019)

A weak-form RBF-generated finite difference method. - Mozhgan Jabalameli; Davoud Mirzaei (Comput. Math. Appl., 2020)

The Direct RBF Partition of Unity (D-RBF-PU) Method for Solving PDEs. - Davoud Mirzaei (CoRR, 2020)

A rational RBF interpolation with conditionally positive definite kernels. - Elham Farazandeh; Davoud Mirzaei (Adv. Comput. Math., 2021)

Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs. - Salar Seyednazari; Mehdi Tatari; Davoud Mirzaei (Comput. Math. Appl., 2021)

The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs. - Davoud Mirzaei (SIAM J. Sci. Comput., 2021)

A compact radial basis function partition of unity method. - Sara Arefian; Davoud Mirzaei (Comput. Math. Appl., 2022)

The D-RBF-PU method for solving surface PDEs. - Reyhaneh Mir; Davoud Mirzaei (J. Comput. Phys., 2023)

A fault detection method based on partition of unity and kernel approximation. - Davoud Mirzaei; Navid Soodbakhsh (Numer. Algorithms, 2023)

Fundamentals of Computing. - Davoud Mirzaei (CoRR, 2024)

Numerical Solution of Initial Value Problems. - Davoud Mirzaei (CoRR, 2024)

Numerical Linear Algebra: Least Squares, QR and SVD. - Davoud Mirzaei (CoRR, 2024)

A non-oscillatory finite volume scheme using a weighted smoothed reconstruction. - Davoud Mirzaei; Navid Soodbakhsh (J. Comput. Phys., 2024)

Stochastic Simulation and Monte Carlo Method. - Davoud Mirzaei (CoRR, 2025)

Numerical solution of quantum Landau-Lifshitz-Gilbert equation. - Vahid Azimi-Mousolou; Davoud Mirzaei (CoRR, 2025)