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Dr. Zahra (Nassim) Masouri


CURRENT POSITION: Researcher, Faculty Member, Ph.D. and Assistant Professor

FIELD: Applied Mathematics - Numerical Analysis

WORK ADDRESS: Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran

MARITAL STATUS: Married, having one daughter (Nika)

EMAIL: This e-mail address is being protected from spambots. You need JavaScript enabled to view it

 

EDUCATION:

 

Ph.D. degree in applied mathematics (numerical analysis), Science and Research Branch, Islamic Azad University, 2010.


M.Sc. degree in applied mathematics (operational research), Khaje-Nasir Toosi University of Technology, 2000.


B.Sc. degree in applied mathematics, Yazd University, 1998.

 

PH.D. THESIS:

 

Title: Numerical solution of functional equations using expansion of unknown function in   terms of block-pulse, triangular basis functions (one and two dimensions) and wavelets


Supervisor: Prof. Dr. Esmail Babolian

 

HONORS:


Ranked one among the Ph.D. graduates of the Department of Applied Mathematics, Science and Research Branch, Islamic Azad University, 2010.


Ranked one among the M.Sc. graduates of the Department of Applied Mathematics, Khaje-Nasir Toosi University of Technology, 2000.


Ranked one among the B.Sc. graduates of the Department of Applied Mathematics, Yazd University, 1998.


The best researcher of zone 5 of Islamic Azad University, 2002.


The best researcher of Khorramabad Branch, Islamic Azad University, 2002.


The best researcher of Khorramabad Branch, Islamic Azad University, 2010.


The best researcher of Khorramabad Branch, Islamic Azad University, 2011.


The best researcher of Khorramabad Branch, Islamic Azad University, 2012.

 

PUBLISHED JOURNAL ARTICLES:


A fast numerical method for analysis of one- and two-dimensional electromagnetic scattering using a set of cardinal functions, Engineering Analysis with Boundary Elements, 36 (2012) 1631-1639. (ISI)


Numerical expansion-iterative method for analysis of integral equation models arising in one- and two-dimensional electromagnetic scattering, Engineering Analysis with Boundary Elements, 36 (2012) 416-422. (ISI)

 

A numerical approach for calculating the radar cross section of two-dimensional perfect electrically conducting structures, Journal of Electromagnetic Waves and Applications, 28 (11) (2014) 1360-1375. (ISI)

 

Numerical method for solving arbitrary linear differential equations using a set of orthogonal basis functions and operational matrix, Applied Mathematical Modelling, 40 (2016) 233-253. (ISI)


Numerical method for analysis of one- and two-dimensional electromagnetic scattering based on using linear Fredholm integral equation models, Mathematical and Computer Modelling, 54 ( 2011)  2199-2210. (ISI)


Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions, Journal of Computational and Applied Mathematics, 220 (2008) 51-57. (ISI)


Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions, Computers and Mathematics with Applications, 58 (2009) 239-247. (ISI)


An expansion-iterative method for numerically solving Volterra integral equation of the first kind, Computers and Mathematics with Applications, 59 (2010) 1491_1499. (ISI)


A scheme for RCS determination using wavelet basis, International Journal of Electronics and Communications, 64 (2010) 757–765. (ISI)


Calculating the radar cross section of the resistive targets using the Haar wavelets, Progress in Electromagnetics Research 83 (2008) 55-80. (ISI)


Numerical approach to survey the problem of electromagnetic scattering from resistive strips based on using a set of orthogonal basis functions, Progress In Electromagnetics Research,  81 (2008) 393-412. (ISI)


A moment method simulation of electromagnetic scattering from conducting bodies, Progress in Electromagnetics Research 81 (2008) 99-119. (ISI)


New direct method to solve nonlinear Volterra-Fredholm integral and integro-differential equations using operational matrix with block-pulse functions, Progress In Electromagnetics Research B, 8 (2008) 59-76.


Applying Shannon wavelet basis functions to the Method of Moments for evaluating the radar cross section of the conducting and resistive surfaces. Progress In Electromagnetics Research B, 8 (2008) 257-292.


A direct method for numerically solving integral equations system using orthogonal triangular functions, International Journal of Industrial Mathematics, 1 (2) (2009) 135-145. (ISC)


Introducing a direct method to solve nonlinear Volterra and Fredholm integral equations using orthogonal triangular functions, Mathematics Scientific Journal, 5 (2009) 11-26.


Numerical solution of Volterra integro-differential equation by direct method via block-pulse functions, Journal of Science Tarbiat Moallem University, 9 (1) (2010) 41-48.


A modified Taylor-series expansion method for integral equations of the second kind with convolution kernel, Mathematics Scientific Journal, 2 (5) (2006-2007) 31-38.


A set of multi-dimensional orthogonal basis functions and its application to solve integral equations, International Journal of Applied Mathematics and Computation, 2 (2010) 32-49.


Numerical expansion-iterative method for solving second kind Volterra and Fredholm integral equations using block-pulse functions, Advanced Computational Techniques in Electromagnetics, 2012 (2012) 7 pages. (ISC)


Evaluation of current distribution induced on perfect electrically conducting scatterers, International Journal of Industrial Mathematics, 5 (2) (2013) 167-173. (ISC)


An analysis of electromagnetic scattering from finite-width strips, International Journal of Industrial Mathematics, 5 (3) (2013) 199-204. (ISC)


A numerical method for calculation of electrostatic charge distribution induced on conducting surfaces, Advanced Computational Techniques in Electromagnetics, 2014 (2014) 9 pages. (ISC)

 

Numerical method for solving system of Fredhlom integral equations using Chebyshev cardinal functions, Advanced Computational Techniques in Electromagnetics, 2014 (2014) 13 pages. (ISC)

 

Calculation of electric charge density based on a numerical approximation method using triangular functions, Advanced Computational Techniques in Electromagnetics, 2013 (2013) 11 pages. (ISC)


Applying integral equation modeling technique in determination of charge distribution on conducting structures, Advanced Computational Techniques in Electromagnetics, 2013 (2013) 8 pages. (ISC)

 

Determining the electromagnetic fields scattered from PEC cylinders, International Journal of Mathematics and Computation,  28 (4) (2017) 1-8.

 

A computational method for numerically solving linear integro-differential equations, International Journal of Mathematics and Computation, 29 (1) (2018) 82-93.

 

A numerical scheme for two-dimensional scattering analysis, International Journal of Mathematics and Computation, 29 (2) (2018) 84-94.


A fast and accurate expansion-iterative method for solving second kind Volterra integral equations, International Journal of Industrial Mathematics, 10 (1) (2018) 29-37. (ISC)


An efficient numerical algorithm for solving linear differential equations of arbitrary order and coefficients, International Journal of Industrial Mathematics, 10 (2) (2018) 127-138. (ISC)

 

Numerical solution of second kind Volterra and Fredholm integral equations based on a direct method via triangular functions, International Journal of Industrial Mathematics, 11 (2) (2019) 79-87. (ISC)

 

A numerical evaluation of radiation from dipole antenna based on a set of wavelet functions, International Journal of Mathematics and Computation, accepted for publication, in press, 2019.



CONFERENCE PAPERS:


The algebraic concepts of the linear programming, International Conference on Applied Mathematics, Iran University of Science and Technology, Tehran, Iran, 2000.


Calculating the upper bound for the determinant of the Hessenberg matrices of elements 0 and 1, Linear Algebra Seminar, Persian Golf University, Boushehr, Iran, 2000.


Analysis of corrosion data using the statistical concepts, Second Congress of Corrosion in the Petroleum Industry, University of Petroleum Industry, Tehran, Iran, 2002.


Linear modeling of Environmental pollution in the steel industry, Steel Symposium, Yazd, Iran, 2003.


Statistical model for prediction of the corrosion of pipelines, 7th Iranian Statistical Conference, Allameh Tabatabai University, Tehran, Iran, 2004.


Calculating the extreme point of the semi-infinite linear programming, 35th Annual Iranian Mathematics Conference, Shahid Chamran University, Ahwaz, Iran, 2004.


Temperature control during the generation of steel pieces using the semi-infinite linear programming, Steel Symposium, Yazd, Iran, 2004.


Temperature control during the heat treatment using the linear optimization, Steel Symposium, Esfahan, Iran, 2005.


Calculating the lower bound for the spectral radius of matrices of elements 0 and 1, 36th Annual Iranian Mathematics Conference, Yazd University, Yazd, Iran, 2005.


Numerical solution of Fredholm integral equations of the first kind with real or complex kernel using triangular functions, 38th Annual Iranian Mathematics Conference, Zanjan University, Zanjan, Iran, 2007.


Numerical solution of the second kind integral equation by combining Nystrom and expansion methods via Chebyshev cardinal functions, 38th Annual Iranian Mathematics Conference, Zanjan University, Zanjan, Iran, 2007.


Introducing a direct method for numerically solving nonlinear Volterra and Fredholm integro-differential equations, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, 2009.


Optimization of face recognition algorithms using wavelet transforms, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, 2009.


Collocation method for solving Fredholm integral equation of the first kind using Shannon wavelet system, 41th Annual Iranian Mathematics Conference, Urmia, Iran, 2010.

 

Comparison of ABS method with Gauss elimination method for solving system of linear equations, 4th Conference on Numerical Analysis and its Applications, Khansar, Iran, 2013.


Some iterative methods with and without memory for solving nonlinear equations, 4th Conference on Numerical Analysis and its Applications, Khansar, Iran, 2013.

 

PROJECTS:

 

Survey of the corrosion problem and presenting a statistical template for prediction of the corrosion of pipelines, Khorramabad Branch, Islamic Azad University, 2006.


Optimization of face identification process based on the wavelet functions and transforms, Khorramabad Branch, Islamic Azad University, 2009.


Numerical solution of linear and nonlinear Volterra and Fredholm integral equations via direct method using special basis functions, Islamic Azad University, 2012.


Calculation of current density on electromagnetic scatterers using Fredholm integral equation models of the first and second kinds, Islamic Azad University, 2013.

 

WORKSHOPS:


Research methodology, Arak Branch, Islamic Azad University, 2002.


Higher education management (for research vice-chancellors), science and Research Branch, Islamic Azad University, 2004.


Weblog creation, Khorramabad Branch, Islamic Azad University, 2008.


Minitab software, Allameh Tabatabai Univarsity, 2004.


MEMBERSHIP:


Member of the Iranian Mathematical Society.


Member of the Young Researchers Club, Islamic Azad University.


Member of the Research Council of zone 5 of Islamic Azad University, 2003-2004.

 

WORK EXPERIENCE AS MANAGER:


Research vice-chancellor of Khorramabad Branch, Islamic Azad University, 2003-2004.


Research manager of Khorramabad Branch, Islamic Azad University, 2002-2003.


Head of the Young Researchers Club of Khorramabad, 2001-2005.


RESEARCH INTERESTS:


Numerical solution of linear and nonlinear integral and integro-differential equations.


Numerical methods in electromagnetic scattering.


Optimization and linear programming.


SKILLED IN:


Programming with Matlab.


Programming with C.

 
 
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