The Citation Rankings (Highly Cited Researchers) highlight the most cited and influential researchers across a vast range of scientific fields, covering 197 main and sub-disciplines, including the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings. This service, offered exclusively by AD Scientific Index, aims to provide a balanced perspective by excluding data from CERN and other statistical sources that disproportionately favor certain researchers, particularly in the social sciences and humanities. This unique approach addresses the advantages researchers with multi-author publications and CERN involvement hold over others. Furthermore, citation rankings help uncover rule violations and unethical practices within the research community. For more detailed citation analyses, explore the 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
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Solution of Integral Eqs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
39,271
17,572
0.447
* Total Citation Counts Rankings
Ranking Based On Selection :2
Meshless Methods
Fractional PDEs
Finite Element Method
Computational Mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,917
4,086
0.831
* Total Citation Counts Rankings
Ranking Based On Selection :3
Fuzzy Optimization
Order Statistics
Reliability Theory
Multiobjective Optimization
Queueing Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,257
1,583
0.486
* Total Citation Counts Rankings
Ranking Based On Selection :4
nonlinear analysis
fixed point theory
functional analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,846
1,103
0.388
* Total Citation Counts Rankings
Ranking Based On Selection :5
Data Mining
Numerical Linear Algebra
Numerical Solution of Partial Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,813
790
0.281
* Total Citation Counts Rankings
Ranking Based On Selection :6
Group theory
Combinatorics
Character theory
Algebraic graph theory
Number theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,815
551
0.304
* Total Citation Counts Rankings
Ranking Based On Selection :7
RBFs
Operational matrix
Computational finance
Principal component analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,758
930
0.529
* Total Citation Counts Rankings
Ranking Based On Selection :8
Algebra
Combinatorics
Graph Theory
Algebraic Combinatorics
Algebraic Graph Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,631
759
0.465
* Total Citation Counts Rankings
Ranking Based On Selection :9
Applied Mathematics
Physics Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,516
849
0.560
* Total Citation Counts Rankings
Ranking Based On Selection :10
Combinatorial Optimization
Algorithms
Computational Complexity
Graph Theory
ITS
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,361
544
0.400
* Total Citation Counts Rankings
Ranking Based On Selection :11
Coding theory
Cryptography and Information Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,162
697
0.600
* Total Citation Counts Rankings
Ranking Based On Selection :12
Mathematics Analysis
nano technology
manufacturing
grinding process
machining processes
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,011
617
0.610
* Total Citation Counts Rankings
Ranking Based On Selection :13
Finsler geometry
Riemannain geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
695
408
0.587
* Total Citation Counts Rankings
Ranking Based On Selection :14
Numerical analysis
Meshless methods
Numerical solution of PDEs
Mathematical biology
Phase field
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
684
559
0.817
* Total Citation Counts Rankings
Ranking Based On Selection :15
mathematical and statistical macro and micro modelling in finance
economy and industrial management
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
644
363
0.564
* Total Citation Counts Rankings
Ranking Based On Selection :16
Combinatorial Commutative Algebra
Combinatorial Algebraic Topology
Commutative and Homological Algebra
Graphs and Combinatori
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
577
416
0.721
* Total Citation Counts Rankings
Ranking Based On Selection :17
Probabilistic Combinatorics
Spectral Graph Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
564
157
0.278
* Total Citation Counts Rankings
Ranking Based On Selection :18
Theoretical Computer Science
Theory of Computation
Algorithm
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
545
357
0.655
* Total Citation Counts Rankings
Ranking Based On Selection :19
Riemann Finsler geometry and its applications
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
520
255
0.490
* Total Citation Counts Rankings
Ranking Based On Selection :20
Differential Geometry- Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
99
91
0.919
* Total Citation Counts Rankings
Ranking Based On Selection :21
Financial Mathematics
Stochastic differential equations
Economics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
59
59
1.000
* Total Citation Counts Rankings
Ranking Based On Selection :22
Numerical Linear Algebra
Numerical Analysis
Computational fluid dynamics
Lattice Boltzmann method
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
52
44
0.846
* Total Citation Counts Rankings
Ranking Based On Selection :23
Ricci Flow
Ricci Soliton
Finsler Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41
20
0.488
* Total Citation Counts Rankings
Ranking Based On Selection :24
Partial Differential Equation-Meshless Method-Radial Basis Function
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38
36
0.947
* Total Citation Counts Rankings
Ranking Based On Selection :25
Kernel-Based Methods
Functional Analysis
Fractional calculus
Special functions
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37
36
0.973
Mehdi Dehghan
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
39,271
17,572
0.447
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Solution of Integral Eqs
Mostafa Abbaszadeh
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,917
4,086
0.831
Meshless Methods
Fractional PDEs
Finite Element Method
Computational Mechanics
Esmaile Khorram
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,257
1,583
0.486
Fuzzy Optimization
Order Statistics
Reliability Theory
Multiobjective Optimization
Queueing Theory
S Mansour Vaezpour
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,846
1,103
0.388
nonlinear analysis
fixed point theory
functional analysis
Fatemeh Shakeri
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,813
790
0.281
Data Mining
Numerical Linear Algebra
Numerical Solution of Partial Differential Equations
Behrooz Khosravi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,815
551
0.304
Group theory
Combinatorics
Character theory
Algebraic graph theory
Number theory
Saeed Kazem
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,758
930
0.529
RBFs
Operational matrix
Computational finance
Principal component analysis
Dariush Kiani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,631
759
0.465
Algebra
Combinatorics
Graph Theory
Algebraic Combinatorics
Algebraic Graph Theory
Hojatollah Adibi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,516
849
0.560
Applied Mathematics
Physics Mathematics
S Mehdi Hashemi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,361
544
0.400
Combinatorial Optimization
Algorithms
Computational Complexity
Graph Theory
ITS
Mohammad Reza Rafsanjani Sadeghi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,162
697
0.600
Coding theory
Cryptography and Information Theory
Banafsheh Sadeghi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,011
617
0.610
Mathematics Analysis
nano technology
manufacturing
grinding process
machining processes
Behzad Najafi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
695
408
0.587
Finsler geometry
Riemannain geometry
Vahid Mohammadi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
684
559
0.817
Numerical analysis
Meshless methods
Numerical solution of PDEs
Mathematical biology
Phase field
Alimohammad Kimiagari
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
644
363
0.564
mathematical and statistical macro and micro modelling in finance
economy and industrial management
Sara Saeedi Madani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
577
416
0.721
Combinatorial Commutative Algebra
Combinatorial Algebraic Topology
Commutative and Homological Algebra
Graphs and Combinatori
Maryam Mirzakhah
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
564
157
0.278
Probabilistic Combinatorics
Spectral Graph Theory
Farzad Didehvar
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
545
357
0.655
Theoretical Computer Science
Theory of Computation
Algorithm
Behroz Bidabad
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
520
255
0.490
Riemann Finsler geometry and its applications
Gh Fasihi Ramandi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
99
91
0.919
Differential Geometry- Mathematical Physics
Nader Karimi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
59
59
1.000
Financial Mathematics
Stochastic differential equations
Economics
Reza Mohammadi-Arani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
52
44
0.846
Numerical Linear Algebra
Numerical Analysis
Computational fluid dynamics
Lattice Boltzmann method
Mohamad Yar Ahmadi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41
20
0.488
Ricci Flow
Ricci Soliton
Finsler Geometry
Mina Haghjoo-Saniji
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38
36
0.947
Partial Differential Equation-Meshless Method-Radial Basis Function
Hamed Mohebalizadeh
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37
36
0.973
Kernel-Based Methods
Functional Analysis
Fractional calculus
Special functions