Citation Rankings (Highly Cited Researchers) and the list of the most cited and influential researchers cover a wide range of scientific fields, spanning 197 main and sub-disciplines, as well as the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings, offering a unique service. Additionally, the list without CERN, Statistical Data, etc., provided exclusively by “AD Scientific Index”, is part of our effort to balance the situation created by CERN and researchers with statistical data, who have an advantage over others, especially those in the social and humanities fields. There should be new regulations for multi-author and CERN papers. Citation lists also reveal many rule violations and unethical practices. See also for more specific citation analyses: Scientists Last 6 years Citation Index, Universities Total Citations Rankings 2025 and Universities Last 6 Years Citations Rankings 2025
* Total Citation Counts Rankings
Ranking Based On Selection :1
Mathematics - Integral equation - Numerical methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,140
3,225
0.452
* Total Citation Counts Rankings
Ranking Based On Selection :2
Numerical Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,741
1,593
0.581
* Total Citation Counts Rankings
Ranking Based On Selection :3
Numerical Analysis
Partial Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,719
1,301
0.478
* Total Citation Counts Rankings
Ranking Based On Selection :4
Partial differential equations
Ordinary differential equations
Nonlinear Functional Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,290
1,173
0.512
* Total Citation Counts Rankings
Ranking Based On Selection :5
Mathematics for computer science
Optimization
Deep learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,943
1,473
0.758
* Total Citation Counts Rankings
Ranking Based On Selection :6
Image reconstruction techniques
Iterative methods for linear systems (Large
Sparse
Ill-posed)
Stopping rules
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,110
691
0.623
* Total Citation Counts Rankings
Ranking Based On Selection :7
Group Theory
Algebraic Graph Theory
Graph Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,002
695
0.694
* Total Citation Counts Rankings
Ranking Based On Selection :8
Inverse problems
Machinery vibration and Linear Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
978
535
0.547
* Total Citation Counts Rankings
Ranking Based On Selection :9
Lie groups & differential equations
Lie Group Analysis
Geometric Mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
972
553
0.569
* Total Citation Counts Rankings
Ranking Based On Selection :10
Machine Learning
Time series analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
842
464
0.551
* Total Citation Counts Rankings
Ranking Based On Selection :11
Functional Analysis
Operator Theory
Nonlinear Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
759
380
0.501
* Total Citation Counts Rankings
Ranking Based On Selection :12
Geometry of Deep Learning
Dynamical System
Hyperstructures
Fixed point theory
Application of Geometry at Universe.
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
632
292
0.462
* Total Citation Counts Rankings
Ranking Based On Selection :13
Numerical Analysis
Deep Learning
Data Science
Stochastic Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
291
271
0.931
* Total Citation Counts Rankings
Ranking Based On Selection :14
Data Analysis
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Numerical
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
279
211
0.756
* Total Citation Counts Rankings
Ranking Based On Selection :15
Stochastic Modeling in Reliability
Maintenance Optimization
Operations Research
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
239
174
0.728
* Total Citation Counts Rankings
Ranking Based On Selection :16
Numerical Analysis
Partial Differential Equations
Inverse Problems
Mathematical Modelling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
231
118
0.511
* Total Citation Counts Rankings
Ranking Based On Selection :17
Mathematical analysis
Functional analysis
Numerical analysis
Machine Learning
Data Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
131
126
0.962
* Total Citation Counts Rankings
Ranking Based On Selection :18
Mathematical Modelling
Data Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
123
73
0.593
* Total Citation Counts Rankings
Ranking Based On Selection :19
Radial basis functions
meshfree methods
spectral methods
Financial Mathematics
optimal control problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
114
100
0.877
* Total Citation Counts Rankings
Ranking Based On Selection :20
Numerical analysis
Radial basis functions
Partial differential equations
Convection diffusion problems
Singular perturbations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
107
103
0.963
* Total Citation Counts Rankings
Ranking Based On Selection :21
Secret Sharing Scheme
Quantum Cryptography
Quantum key distribution
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
79
36
0.456
* Total Citation Counts Rankings
Ranking Based On Selection :22
Applied mathematics
Numerical analysis
Integral equation
PDE
Deep learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
74
72
0.973
* Total Citation Counts Rankings
Ranking Based On Selection :23
Nonlinear analysis
variational methods
partial differential equation
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
66
56
0.848
* Total Citation Counts Rankings
Ranking Based On Selection :24
Computational Biomechanics
Traumatic Brain Injury
Cancer Treatment
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41
41
1.000
* Total Citation Counts Rankings
Ranking Based On Selection :25
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
32
25
0.781
Khosrow Maleknejad
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,140
3,225
0.452
Mathematics - Integral equation - Numerical methods
Jalil Rashidinia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,741
1,593
0.581
Ahmad Golbabai
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,719
1,301
0.478
Numerical Analysis
Partial Differential Equations
Asadollah Aghajani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,290
1,173
0.512
Partial differential equations
Ordinary differential equations
Nonlinear Functional Analysis
Javad Vahidi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,943
1,473
0.758
Mathematics for computer science
Optimization
Deep learning
Touraj Nikazad
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,110
691
0.623
Image reconstruction techniques
Iterative methods for linear systems (Large
Sparse
Ill-posed)
Stopping rules
Mehdi Alaeiyan
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,002
695
0.694
Group Theory
Algebraic Graph Theory
Graph Theory
Reza Madoliat
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
978
535
0.547
Inverse problems
Machinery vibration and Linear Algebra
Mehdi Nadjafikhah|مهدی نجفیخواه
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
972
553
0.569
Lie groups & differential equations
Lie Group Analysis
Geometric Mechanics
Rahman Farnoosh
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
842
464
0.551
Machine Learning
Time series analysis
Mohammad Bagher Ghaemi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
759
380
0.501
Functional Analysis
Operator Theory
Nonlinear Analysis
Akbar Dehghan Nezhad
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
632
292
0.462
Geometry of Deep Learning
Dynamical System
Hyperstructures
Fixed point theory
Application of Geometry at Universe.
Tahereh Eftekhari
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
291
271
0.931
Numerical Analysis
Deep Learning
Data Science
Stochastic Differential Equations
Mahboubeh Molavi-Arabshahi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
279
211
0.756
Data Analysis
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Numerical
Reza Ahmadi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
239
174
0.728
Stochastic Modeling in Reliability
Maintenance Optimization
Operations Research
Morteza Garshasbi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
231
118
0.511
Numerical Analysis
Partial Differential Equations
Inverse Problems
Mathematical Modelling
Omid Taghipour Birgani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
131
126
0.962
Mathematical analysis
Functional analysis
Numerical analysis
Machine Learning
Data Science
Hamidreza Rezazadeh Masuleh
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
123
73
0.593
Mathematical Modelling
Data Analysis
Manoochehr Khasi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
114
100
0.877
Radial basis functions
meshfree methods
spectral methods
Financial Mathematics
optimal control problems
Naghi Kalarestaghi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
107
103
0.963
Numerical analysis
Radial basis functions
Partial differential equations
Convection diffusion problems
Singular perturbations
Elham Fattahi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
79
36
0.456
Secret Sharing Scheme
Quantum Cryptography
Quantum key distribution
Raziyeh Dehbozorgi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
74
72
0.973
Applied mathematics
Numerical analysis
Integral equation
PDE
Deep learning
S Saiedinezhad
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
66
56
0.848
Nonlinear analysis
variational methods
partial differential equation
Vahid Darvishi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41
41
1.000
Computational Biomechanics
Traumatic Brain Injury
Cancer Treatment
Ayoob Mehrabani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
32
25
0.781