Davoud Mirzaei
Senior Lecturer/Associate Professor at Department of Information Technology; Division of Scientific Computing
- Telephone:
- +46 18 471 28 80
- E-mail:
- davoud.mirzaei@it.uu.se
- Visiting address:
- Hus 10, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
- Academic merits:
- Docent
- ORCID:
- 0000-0002-0166-4760
Short presentation
Homepage address: https://ddmirzaei.github.io/
Mirzaei's research foci are in developing, implementing, and analyzing the scattered data approximation methods for function approximation and numerical solution of partial differential equations. He is particularly interested in methods based on radial basis functions (RBFs) and moving least squares (MLS) approximations for numerical simulations on Euclidean spaces and on embedded submanifolds.
Publications
Selection of publications
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The D-RBF-PU method for solving surface PDEs
Part of Journal of Computational Physics, 2023
- DOI for The D-RBF-PU method for solving surface PDEs
- Download full text (pdf) of The D-RBF-PU method for solving surface PDEs
-
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
Part of SIAM Journal on Scientific Computing, 2021
-
On analysis of kernel collocation methods for spherical PDEs
Part of Applied Numerical Mathematics, p. 222-232, 2020
- DOI for On analysis of kernel collocation methods for spherical PDEs
- Download full text (pdf) of On analysis of kernel collocation methods for spherical PDEs
-
A Petrov-Galerkin Kernel Approximation on the Sphere
Part of SIAM Journal on Numerical Analysis, p. 274-295, 2018
-
Direct approximation on spheres using generalized moving least squares
Part of BIT Numerical Mathematics, p. 1041-1063, 2017
-
Analysis of moving least squares approximation revisited
Part of Journal of Computational and Applied Mathematics, p. 237-250, 2015
- DOI for Analysis of moving least squares approximation revisited
- Download full text (pdf) of Analysis of moving least squares approximation revisited
-
Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation
Part of Applied Numerical Mathematics, p. 73-82, 2013
-
On generalized moving least squares and diffuse derivatives
Part of IMA Journal of Numerical Analysis, p. 983-1000, 2011
Recent publications
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LREI: A Fast Numerical Solver For Quantum Landau--Lifshitz Equations
Part of SIAM Journal on Scientific Computing, 2026
-
Divergence-free and curl-free moving least squares approximations
Part of Journal of Computational and Applied Mathematics, 2026
- DOI for Divergence-free and curl-free moving least squares approximations
- Download full text (pdf) of Divergence-free and curl-free moving least squares approximations
-
Numerical solution of quantum Landau-Lifshitz-Gilbert equation
Part of Computer Physics Communications, 2026
- DOI for Numerical solution of quantum Landau-Lifshitz-Gilbert equation
- Download full text (pdf) of Numerical solution of quantum Landau-Lifshitz-Gilbert equation
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A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
Part of Journal of Computational Physics, 2024
- DOI for A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
- Download full text (pdf) of A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
-
A fault detection method based on partition of unity and kernel approximation
Part of Numerical Algorithms, p. 1759-1794, 2023
- DOI for A fault detection method based on partition of unity and kernel approximation
- Download full text (pdf) of A fault detection method based on partition of unity and kernel approximation
All publications
Articles in journal
-
LREI: A Fast Numerical Solver For Quantum Landau--Lifshitz Equations
Part of SIAM Journal on Scientific Computing, 2026
-
Divergence-free and curl-free moving least squares approximations
Part of Journal of Computational and Applied Mathematics, 2026
- DOI for Divergence-free and curl-free moving least squares approximations
- Download full text (pdf) of Divergence-free and curl-free moving least squares approximations
-
Numerical solution of quantum Landau-Lifshitz-Gilbert equation
Part of Computer Physics Communications, 2026
- DOI for Numerical solution of quantum Landau-Lifshitz-Gilbert equation
- Download full text (pdf) of Numerical solution of quantum Landau-Lifshitz-Gilbert equation
-
A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
Part of Journal of Computational Physics, 2024
- DOI for A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
- Download full text (pdf) of A non-oscillatory finite volume scheme using a weighted smoothed reconstruction
-
A fault detection method based on partition of unity and kernel approximation
Part of Numerical Algorithms, p. 1759-1794, 2023
- DOI for A fault detection method based on partition of unity and kernel approximation
- Download full text (pdf) of A fault detection method based on partition of unity and kernel approximation
-
The D-RBF-PU method for solving surface PDEs
Part of Journal of Computational Physics, 2023
- DOI for The D-RBF-PU method for solving surface PDEs
- Download full text (pdf) of The D-RBF-PU method for solving surface PDEs
-
A compact radial basis function partition of unity method
Part of Computers and Mathematics with Applications, p. 1-11, 2022
-
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
Part of SIAM Journal on Scientific Computing, 2021
-
A rational RBF interpolation with conditionally positive definite kernels
Part of Advances in Computational Mathematics, 2021
-
Part of Computers and Mathematics with Applications, p. 1-11, 2021
- DOI for Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs
- Download full text (pdf) of Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs
-
On analysis of kernel collocation methods for spherical PDEs
Part of Applied Numerical Mathematics, p. 222-232, 2020
- DOI for On analysis of kernel collocation methods for spherical PDEs
- Download full text (pdf) of On analysis of kernel collocation methods for spherical PDEs
-
A weak-form RBF-generated finite difference method
Part of Computers and Mathematics with Applications, p. 2624-2643, 2020
-
A Petrov-Galerkin Kernel Approximation on the Sphere
Part of SIAM Journal on Numerical Analysis, p. 274-295, 2018
-
A fast meshfree technique for the coupled thermoelasticity problem
Part of Acta Mechanica, p. 2657-2673, 2018
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Part of Journal of Scientific Computing, p. 493-516, 2018
-
Direct approximation on spheres using generalized moving least squares
Part of BIT Numerical Mathematics, p. 1041-1063, 2017
-
Error bounds for GMLS derivatives approximations of Sobolev functions
Part of Journal of Computational and Applied Mathematics, p. 93-101, 2016
-
Analysis of moving least squares approximation revisited
Part of Journal of Computational and Applied Mathematics, p. 237-250, 2015
- DOI for Analysis of moving least squares approximation revisited
- Download full text (pdf) of Analysis of moving least squares approximation revisited
-
A greedy meshless local Petrov-Galerkin methodbased on radial basis functions
Part of Numerical Methods for Partial Differential Equations, p. 847-861, 2015
-
Direct meshless local Petrov–Galerkin method for elastodynamic analysis
Part of Acta Mechanica, p. 619-632, 2015
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A new low-cost meshfree method for two and three dimensional problems in elasticity
Part of Applied Mathematical Modelling, p. 7181-7196, 2015
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The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers
Part of Applied Mathematical Modelling, p. 2337-2351, 2013
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Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method
Part of Numerical Algorithms, p. 275-291, 2013
-
Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation
Part of Applied Numerical Mathematics, p. 73-82, 2013
-
On generalized moving least squares and diffuse derivatives
Part of IMA Journal of Numerical Analysis, p. 983-1000, 2011