Davoud Mirzaei s CV Davoud Mirzaei, Associate Professor of Applied Mathematics, (Numerical Analysis) Department of Mathematics, University of Isfahan, 81745-163 Isfahan, Iran. Tell: 0098-31-37934635 Email: d.mirzaei@sci.ui.ac.ir, ddmirzaei@gmail.com Homepage: http://sci.ui.ac.ir/~d.mirzaei Education: Amirkabir University of Technology of Tehran, Iran, September 2008-July 2011, PhD, Applied Mathematics, Numerical Analysis. Thesis title: Developments of MLS-based meshless methods. Co-advised by Mehdi Dehghan. Amirkabir University of Technology of Tehran, Iran, September 2005 January 2007, Master of Science, Applied Mathematics, Numerical Analysis. Thesis title: The fast multipole boundary element method for solving PDEs. Co-advised by Mehdi Dehghan. University of Shahid Chamran, Ahvaz, Iran, September 2001 July 2005, Bachelor of Science, Applied Mathematics. Sabbatical Leaves: Sept. 2010-Mar. 2010, Hosted by Prof R. Schaback, Georg August-Universitat Gottingen, Germany Academic Work Experience: September 2011 Present, Advanced Numerical Analysis, Numerical Analysis 1 & 2, Differential Equations, Numerical Solution of PDEs, Theory and Applications of Meshless Methods, Topics in Numerical
Analysis (Approximation Theory and Numerical Linear Algebra) (University of Isfahan, Iran) Current Research Interests: Approximation Theory with Meshless Techniques (Kernels and Moving Least Squares) Numerical solution of PDEs Meshless methods Direct Meshless Local Petrov-Galekin (DMLPG) method Meshless Local Petrov-Galekin (MLPG) method MLS based methods, Radial Basis Function (RBF) based methods Boundary Elements Method (BEM) Publications: Books in Persian: Advanced Numerical Analysis, 2th Edition, Isfahan University Press, (آناليزعددي پيشرفته انتشارات دانشگاه اصفهان چاپ دوم ).2013 1393 Translation of D. Logan, Applied Partial Differential Equations, (معادلات ديفرانسيل جزي ي كاربردي انتشارات دانشگاه اصفهان ( 1393 2004 Springer, Refereed Journal Articles [24] A greedy meshless local Petrov-Galerkin method based on radial basis functions, Numerical Methods for Partial Differential Equations, 32 (3) (2016) 847 861. [23] Direct meshless local Petrov Galerkin method for elastodynamic analysis, Acta Mechanica, 227 (3) (2016) 619-632. (with K. Hasanpour) [22] Error bounds for GMLS derivatives approximations of Sobolev functions, Journal of Computational and Applied Mathematics, 294 (2016) 93-101 [21] DMLPG solution of the fractional advection-diffusion problem, Engineering Analysis with Boundary Elements 59 (2015) 36-42. (with Mohadeheh Ramezani and Monireh Mojtabaei)
[20] Analysis of moving least squares approximation revisited, Journal of Computational and Applied Mathematics 282 (2015) 237-250. [19] A new low-cost meshfree method for two and three dimensional problems in elasticity, Applied Mathematical Modelling 39 (2015), 7181 7196 [18] Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method, Numerical Algorithms, 65 (2014) 275-291. (With Robert Schaback) [17] Direct Meshless Local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation, Applied Numerical Mathematics, 68 (2013) 73-82. (With Robert Schaback) [16] The boundary element method for Magneto-Hydrodynamic (MHD) channel flows at high Hartmann Numbers, Applied Mathematical Modelling, 37 (2013) 2337 2351. (with H. Hosseinzadeh and M. Dehghan) [15] New implementation of MLBIE method for heat conduction problem in functionally graded materials. Engineering Analysis with Boundary Elements, 36 (2012) 511--519 (with M. Dehghan) [14] On generalized moving least squares and diffuse derivatives, IMA Journal of Numerical Analysis, 32 (2012) 983-1000. (with R. Schaback and M. Dehghan) [13] MLPG method for transient heat conduction problem with MLS as trial approximation in both time and space domains. CMES: Computer Modeling in Engineering & Sciences, 72 (2011) 185-210 (with M. Dehghan) [12] MLPG approximation to the p-laplace problem, Computational Mechanics, 46 (2010) 805-912 (with M. Dehghan) [11] A meshless based method for solution of integral equations, Applied Numerical Mathematics, 60 (2010) 245-262 (with M. Dehghan). [10] Meshless local Petrov-Galerkin approximation to the two dimensional sine-gordon equation, Journal of Computational and Applied Mathematics, 233 (2010) 2737-2754 (with M. Dehghan). [9] Implementation of meshless LBIE method to the 2D non-linear SG problem, International Journal for Numerical Methods in Engineering, 79 (2009) 1662-1682 (with M. Dehghan). [8] Meshless Local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes, Computer Physics Communications, 180 (2009) 1458-1466 (with M. Dehghan).
[7] A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation, Engineering Analysis with Boundary Elements, 33 (2009) 522-528. (with M. Dehghan) [6] Meshless Local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity, Applied Numerical Mathematics, 59 (2009) 1043-1058. (with M. Dehghan) [5] Boundary element solution of the two-dimensional sine-gordon equation using continuous linear elements, Engineering Analysis with Boundary Elements, 33 (2009) 12-24. (with M. Dehghan) [4] Numerical solution to the unsteady two-dimensional Schrodinger equation using meshless local boundary integral equation method, International Journal for Numerical Methods in Engineering, 76 (2008) 501-520. (with M. Dehghan) [3] The boundary integral equation approach for numerical solution of the onedimensional sine-gordon equation, Numerical Methods for Partial differential Equations, 24 (2008) 1405-1425. (with M. Dehghan) [2] The meshless local Petrov-Galerkin (MLPG) method for the generalized twodimensional non-linear Schrodinger equation, Engineering Analysis with Boundary Elements, 32 (2008) 747-756. (with M. Dehghan). [1] The dual reciprocity boundary element method (DRBEM) for two-dimensional sine- Gordon equation, Computer Methods in Applied Mechanics and Engineering, 197 (2008) 476-486. (with M. Dehghan) Conferences and Talks [5] Direct approximation on spheres using generalized moving least squares, Invited talk in 4 th Dolomites Workshop on Constructive Approximation and Applications, 8-13 September 2016, Alba di Canazei, Italy. [4] Meshless Approximants, Invited talk in 6 th Seminar on Numerical Analysis and its Applications, 19-20 July 2016, Maragheh, Iran [3] A direct approximation method with applications to engineering problems, International Conference on Learning and Approximation, 8-12 December 2014, Shanghai, China. [2] Recent developments in MLS based meshless methods, 4th Iranian Conference on Numerical Analysis and its Applications, Khansar, Iran, 1392 (2013)
[1] A numerical scheme based on boundary integral equation for one-dimensional timedependent differential equations, The 40th Annual Iranian Mathematics Conference, Sharif Uni. of Tech. Tehran, 1388 (2009). Awards and Honors: Member of Iran National Elites Foundation, 2008-2011. National Elites Foundation Grant for Young Assistant Professors, 2012. Second Annual Prize for Best Published Book in Isfahan, Ministry of Culture & Islamic Guidance, 2014, (for Advanced Numerical Analysis ). Distinguished Researcher in Faculty of Sciences, University of Isfahan, 2016. Activities: Professional Experience Assistant Director of Research and Graduate Studies of Department of Mathematics, University of Isfahan, 2016-present. Collaboration in Conference Organizing Organizer of the IPM-Isfahan Workshop on Partial Differential Equations and Eigenvalue Problems, 11-12 July, 2016, Isfahan, Iran. Member of the Scientific Committee of 13th Seminar on Seminar on Differential Equations, Dynamical Systems and Applications, 13-15 July 2016, Isfahan University of Technology, Iran. Organizer of the IPM-Isfahan Workshop on Numerical Analysis, 30-31 May, 2015, Isfahan, Iran. Member of the Scientific Committee of 5th Iranian Conference on Numerical Analysis and its Applications, Rafsanjan, 9-10 Sept. 2014, Iran. Member of the Scientific and the Administrative Committees of 4th Iranian Conference on Numerical Analysis and its Applications, Khansar, 8-9 May 2013, Iran. Contribution to Journals Reviewer of Mathematical Reviews (MR) in AMS since January 2009 to present. Referee for some journals Contribution to Scientific Societies:
Member of Iranian Mathematical Society. Skills: Languages: Fortran, C Software environments: MatLab, Maple, LaTex. For more details please see my personal academic Homepage at http://sci.ui.ac.ir/~d.mirzaei