Brief CV
Research Interests:
- Numerical Analysis
- Numerical Linear Algebra
- Numerical Solution of integer and fractional Partial Differential Equations
- Numerical Simulation
- Meshless Methods
- Reproducing Kernel Hilbert Space Methods
- Radial Basis Functions Methods
- Matrix Methods in Data Mining and Pattern Recognition
- Kernel Methods in Machine Learning
- Recommemnder Systems
- Topics related to interact between Numerical Analysis and other fields such as Engineering and Computer Sciences
Educational records
#
Course
University
City
Country
Graduation Date
Total mean
1
B.Sc. in Applied Mathematics
Isfahan University of Technology
Isfahan
Iran
2
M.Sc. in Applied Mathematics, Numerical Analysis
Isfahan University of Technology
Isfahan
Iran
3
PhD in Applied Mathematics, Numerical Analysis
Isfahan University of Technology
Isfahan
Iran
Languages
#
Language
Translation Skill
Dialogue Skill
1
Dutch
Elementary
Elementary
1
English
Advanced
Advanced
1
Italian
Elementary
Elementary
Academic & scientific positions
#
Responsibilities Titles
Name of Organization
Starting Date
Termination Date
1
Lecturer
Isfahan University of Technology
2011
2012
2
Research Visitor
Institut für Numerische und Angewandte Mathematik, Universität Göttingen
2012
2013
3
Professor of Applied Mathematics (Numerical Analysis)
Kharazmi University
2014
4
Coordinator of Bilateral Agreement between Kharazmi University and University of Padova
2021
5
Chair of Mathematics Department
Kharazmi University
2020
2022
6
Research Visitor
University of Padova
2023
2024
Executive Activities
#
Executive Activities Titles
Name of Organization / comment
Starting Date
Termination Date
1
Editorial board of the International journal (Q1): Mathematics and Computers in Simulation
2023
2
Editorial board of the International journal (Q1): Dolomites Research Notes on Approximation
2026
Research projects
#
Project Titles
Executers
Supportive Organization
Place of Execution
Project Situation
Completion Date
1
Enhancing the clarity of medical and satellite images by using radial basis functions (RBFs) approximation
Maryam Mohammadi, Fatemeh Pooladi
Iran National Science Foundation (INSF)
Running
-
2
Development of Physics-Informed Neural Networks based on RBFs for solving direct and inverse problems
Maryam Mohammadi, Mohammad Heidari
Kharazmi University
Running
-
Theses supervised
#
Title
Persons
1
Persistence Symmetric Kernels in Data Classification Models
Hossein Moeini Vafa
2
Stable Weighted Singular Value Decomposition Basis for RBF Interpolation Problem
Erfan Nourbakhsh
3
A Novel Approach for Determining Shape Parameter of Radial Basis Functions in Differential Geometry Point of View
Mohammad Heidari
4
Application of the Nonnegative Matrix Factorization Method with Newton SearchDirection in Image Processing
Mana Shahmoradi
5
Selection of a Proper Shape Parameter for Radial Basis Functions Approximation in Solving Time Dependent PDEs
Ali Edham Awadh Alfawwazee
6
Image Reconstrucion by Approximation of Radial Basis Functions from Scattered Radon Data
Zahra Alizadeh
7
Jump Discontinuities Identification of Functions Using Radial basis Functions Interpolation
Sahar Rahmani
8
Developing a Collaborative Filtering System Baseed on User’s Opinion Aspects by Using Tensor Factorization
Meysam Maleki
9
Image steganography using wavelets and QR Factorization
Fatemeh Nejati
10
Developing Radial Basis Functions Network for Improving Collaborative Filtering Recommender Systems
Mohammad Ali Naseri
11
Singular Value Decomposition and its Appilication in Recommender Systems
Mahsa Lati
12
Nonnegative matrix factorization and its application in data analysis
نوشین شاهرخی
13
Application of Hybrid Gaussian-Cubic Radial Basis Functions in Enhancing Scattered Data Interpolation
Fatemeh Mafakheri
14
Adaptive Meshfree Variational Approach Based on Physics-Informed Neural Networks
Amirhossein Jafari
15
Radial Basis Functions Method for Solving Some Integer and Fractional PDEs
Fahimeh Saberi Zafarghandi
Theses advised
#
Title
Persons
1
Improving Performance of Tensor-based Context-aware Recommenders using Bias Tensor Factorization
Mohadeseh Ebrahimi
2
Designing Group Recommender Systems Using Matrix Factorization Method
Amin Taghipour
3
Recommender Systems Using Sentiment Analysis and Opinion Mining
Mehdi Mohammadi
4
Slveing Oscillatory Fredholm Integral Equations by Meshless M etods
Kaveh Rabe Hadadi
Course taught
#
Lesson Title
Place & Date of Lecture
1
Meshless Methods (M.Sc.)
2
Advanced Numerical Analysis (M.Sc.)
3
Numerical Linear Algebra (M.Sc.)
4
Numerical Solution of Ordinary and Partial Differential Equations (M.Sc.)
5
Numerical Analysis (Ph.D.)
6
Numerical Linear Algebra in Data Mining (Ph.D.)
7
Numerical Methods in Linear Algebra
8
A first course in Numerical Analysis
9
Numerical Computations
10
Calculus
11
Mathematics in Chemistry
12
Partial Differential Equations
13
Scattered Data Approximation (Ph. D.)
Published articles
#
Paper title
Writer
Magazine title
Publish year
Publish type
Article type
1
Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers
Maryam Mohammadi, Alvise Sommariva, Marco Vianello
APPLIED MATHEMATICS LETTERS
2025
Full Text
2
Unisolvence of Randomized MultiQuadric Kansa Collocation for Convection-Diffusion with Mixed Boundary Conditions
Maryam Mohammadi, Alvise Sommariva, Marco Vianello
Mediterranean Journal of Mathematics
2025
Full Text
3
On a new class of positive definite RBFs by using Fourier cosine transform
Maryam Mohammadi, Mohammad Heidari, Stefano De Marchi
Dolomites Research Notes on Approximation
2024
Full Text
4
Non-oscillatory solutions of the 2D coupled Burgers' equations using the RTH RBF method
Maryam Mohammadi, Mohammad Heidari, Stefano De Marchi
AIP Conference Proceedings
2024
Full Text
5
A numerical method for KdV equation using rational radial basis functions
Mansour Shiralizadeh, Amjad AliPanah, Maryam Mohammadi
Computational Methods for Differential Equations
2023
Full Text
6
CURVATURE BASED CHARACTERIZATION OF RADIAL BASIS FUNCTIONS: APPLICATION TO INTERPOLATION
Mohammad Heidari, Maryam Mohammadi, Stefano De Marchi
Mathematical Modelling and Analysis
2023
Full Text
7
Full-rank orthonormal bases for conditionally positive definite kernel-based spaces
Maryam Mohammadi, Stefano De Marchi, Mohammad Karimnejad Esfahani
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2023
Full Text
8
A strategy to estimate the optimal low-rank in incremental SVD-based algorithms for recommender systems
Maryam Bahrkazemi, Maryam Mohammadi
Intelligent Data Analysis
2022
Full Text
9
Numerical solution of one-dimensional Sine-Gordon equation using rational radial basis functions
Mansour Shiralizadeh, Amjad Alipanah, Maryam Mohammadi
Journal of Mathematical Modeling
2022
Full Text
10
New Strategy Based on RBF Network to Develop a Collaborative Filtering Recommender System
Maryam Mohammadi, Somaye Arabi Naree, Mohammadali Naseri
COMPUTING AND INFORMATICS
2022
Full Text
11
Approximate solutions to the Allen-Cahn equation using rational radial basis functions method
Mansour Shiralizadeh, Amjad Alipanah, Maryam Mohammadi
Iranian Journal of Numerical Analysis and Optimization
2022
Full Text
12
A shape preserving quasi-interpolation operator based on a new transcendental RBF
Mohammad Heidari, Maryam Mohammadi, Stefano De Marchi
Dolomites Research Notes on Approximation
2021
Full Text
13
User-item content awareness in matrix factorization based collaborative recommender systems
Maryam Mohammadi, Somaye Arabi Naree, Mahsa Lati
Intelligent Data Analysis
2020
Full Text
14
Radial basis functions method for solving the fractional diffusion equations
Fahimeh Saberi zafarghandi, Maryam Mohammadi, Esmail Babolian, Shahnam Javadi
APPLIED MATHEMATICS AND COMPUTATION
2019
Full Text
15
Bases for polynomial-based spaces
Maryam Mohammadi, Maryam Bahrkazemi
Journal of Mathematical Modeling
2019
Full Text
16
On the fractional derivatives of radial basis functions: Theories and applications
Fahimeh Saberi zafarghandi, Maryam Mohammadi, Robert Schaback
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2019
Full Text
17
Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions
Fahimeh Saberi zafarghandi, Maryam Mohammadi
APPLIED NUMERICAL MATHEMATICS
2019
Full Text
18
Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm
Hossein Rafieayan Zadeh, Maryam Mohammadi, Esmail Babolian
Journal of Mathematical Modeling
2019
Full Text
19
Local variably scaled Newton basis functions collocation method for solving Burgers equation
Saeid Abbasbandy, Hananeh Nojavan, Maryam Mohammadi
APPLIED MATHEMATICS AND COMPUTATION
2018
Full Text
20
Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique
Fereshteh Toutian Isfahani, Reza Mokhtari, Ghasem Barid Loghmani, Maryam Mohammadi
INTERNATIONAL JOURNAL OF CONTROL
2018
Full Text
21
Convergence analysis of general spectral methods
Maryam Mohammadi, R. Schaback
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2017
Full Text
22
A localized Newton basis functions meshless method for the numerical solution of the 2D nonlinear coupled Burgers equations
Fahimeh Saberi zafarghandi, Maryam Mohammadi, Esmaeil Babolian, Shahnam Javadi
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT and FLUID FLOW
2017
Full Text
23
A local reproducing kernel method accompanied by some different edge improvement techniques application to the Burgers equation
Maryam Mohammadi, Fahimeh Saberi zafarghandi, Esmaeil Babolian, Shahnam Javadi
Iranian Journal of Science and Technology Transaction A-Science
2016
Full Text
24
Solving a Class of PDEs by a Local Reproducing Kernel Method with An Adaptive Residual Subsampling Technique
Hossein Rafieayan Zadeh, Maryam Mohammadi, Esmaeil Babolian
CMES-COMPUTER MODELING IN ENGINEERING and SCIENCES
2015
Full Text
25
A Meshless Method for Solving the 2D Brusselator Reaction-Diffusion System
Maryam Mohammadi, Reza Mokhtari, Robert Schaback
CMES-COMPUTER MODELING IN ENGINEERING and SCIENCES
2014
Full Text
Presented articles
#
Title
Writer
Conference
Date
Presentation type
1
Dynamic Shape Parameter Selection in RBFs: A Curvature-Driven Approach
Maryam Mohammadi
Conference on Modern Kernel Methods and Applications (On the Occasion of Robert Schaback's 80th Birthday) - Hong Kong
1404/10/15
Oral
2
RBFs as surfaces of revolution
Maryam Mohammadi, Mohammad Heidari
International Conference on Approximation Theory and its Applications - Romania
1403/04/27
Oral
3
How differential geometry works in the RBF approximation theory
Maryam Mohammadi, Mohammad Heidari
Approximation: Theory, Methods and Applications - Italy
1403/03/22
Oral
4
A quasi-metric space based on the RTH RBF
Maryam Mohammadi, Mohammad Heidari
Two-day Workshop on Approximation Theory in honour of Prof. Dr. Martin Buhmann on his 60th Birthday - Germany
1402/07/03
Oral
5
Construction of new class of PD RBFs by using Schoenberg's theory
Maryam Mohammadi, Mohammad Heidari
Dolomites Research Week on Approximation and Applications 23 - Italy
1402/06/24
Oral
6
Some open problems in RBF approximation
Stefano De Marchi, Maryam Mohammadi, Robert Schaback
Dolomites Research Week on Approximation and Applications 23 - Italy
1402/06/24
Oral
7
Interpolants in the limit of some radial basis functions
Mohammad Heidari, Maryam Mohammadi
International Workshop on Current Trends in Analysis and Approximation Theory - Iran
1402/04/27
Oral
8
RBF-SVD: New strategy to solve sparsity and scalability drawbacks in recommender systems
Maryam Mohammadi
Second International Conference on Mathematical And Computational Modelling, Approximation and Simulation - Iran
1402/03/08
Oral
9
Shape parameter of RBFs via curvature values
Maryam Mohammadi
Approximation, Theory, Methods, and Applications - Italia
1401/10/28
Oral
10
Non-oscillatory Solutions of the 2D Coupled Burgers Equations Using the RTH RBF Method
Maryam Mohammadi
20th International Conference of Numerical Analysis and Applied Mathematics - Iran
1401/06/28
Oral
11
On the new positive definite RBFs by using a Fourier cosine transform
Maryam Mohammadi
14th International Conference on Approximation Theory and its Applications - Romania
1401/06/21
Oral
12
Accurately approximating flat functions by a new transcendental RBF
Maryam Mohammadi, Mohammad Heidari
The 9th Seminar on Numerical Analysis and its Applications - Iran
1401/02/19
Oral
13
A shape preserving quasi-interpolation operator based on a new transcendental RBF
Maryam Mohammadi
Approximation, Theory, Methods, and Applications - Italy
1400/08/19
Oral
14
A local multiquadric quasi-interpolation operator based on the piecewise linear hat functions
Maryam Mohammadi, Mohammad Heidari
52nd Annual Iranian Mathematics Conference - Iran
1400/06/08
Oral
15
On the positive definite RBFs by using integral transforms
Maryam Mohammadi, Mohammad Heidari
THE FIRST INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS - Iran
1400/05/20
Oral
16
New positive definite RBFs via completely monotone functions of order k
Mohammad Heidari, Maryam Mohammadi
51st Annual Iranian Mathematics Conference - Iran
1399/11/27
Oral
17
Fragile Watermarking for Image Authentication Using QR factorization and Fourier Transform
Fatemeh Nejati, Hedieh Sajedi, Maryam Mohammadi
5th International Conference on Web Research (ICWR) - Iran
1398/02/04
Oral
18
A meshless technique based on the radial basis functions for solving the linear space fractional partial differential equations
Fahimeh Saberi zafarghandi, Maryam Mohammadi, Esmail Babolian
49th annual Iranian Mathematics Conference - Iran
1397/06/01
Oral
19
A new non-negative matrix factorization method to build a recommender system
Somaye Arabi Naree, Maryam Mohammadi
4-th international conference on new studies of computer and IT - Iran
1396/12/05
Oral
20
A local reproducing kernel method accompanied by an edge improvement technique for the numerical of the 2D Brusselator System
Fahimeh Saberi zafarghandi, Maryam Mohammadi
47th annual iranian mathematics conference - Iran
1395/06/07
Oral
