The AD Scientific Index (Alper-Doger Scientific Index) provides the most comprehensive analysis across 13 main fields and 197 sub-branches at global, national, and regional levels. These analyses are based on indicators such as the H-index, i10-index, and citation count, including their values from the last 6 years. As of Jan 21, 2025, the rankings are determined according to the Total H Index. BETA VERSION: The subject field rankings for the world, regions, countries, and universities are currently in their Beta phase. This is due to the exclusion of (873.696) scientists categorized under ‘Others’, whose profiles have yet to be determined, edited, or classified. As updates are made to these fields, the rankings will be adjusted accordingly. Note: Please keep this in mind while reviewing the rankings. For further details, explore our [University Subject Rankings].
* Total H IndexRankings
Ranking Based On Selection: 1
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Solution of Integral Eqs
Metrics
H-Index
i10 Index
Citation Counts
103
583
39,818
* Total H IndexRankings
Ranking Based On Selection: 2
Numerical Analysis
Homotopy analysis method
Metrics
H-Index
i10 Index
Citation Counts
81
293
23,620
* Total H IndexRankings
Ranking Based On Selection: 3
Mathematical Physics
Nonlinear PDEs
Solitons
Metrics
H-Index
i10 Index
Citation Counts
71
262
15,188
* Total H IndexRankings
Ranking Based On Selection: 4
Applied mathematics
Exact Solutions
Metrics
H-Index
i10 Index
Citation Counts
62
237
12,233
* Total H IndexRankings
Ranking Based On Selection: 5
Nonlinear Analysis
Fractonal Calclus
Hybrid Systems
Finite Differences
Modeling Theory
Metrics
H-Index
i10 Index
Citation Counts
59
223
14,347
* Total H IndexRankings
Ranking Based On Selection: 6
Numerical Analysis
Computational
Fractional calculus
Metrics
H-Index
i10 Index
Citation Counts
58
111
7,638
* Total H IndexRankings
Ranking Based On Selection: 7
Algebra
Group theory
Ring theory
Rough set theory
Fuzzy Logic
Metrics
H-Index
i10 Index
Citation Counts
58
358
16,964
* Total H IndexRankings
Ranking Based On Selection: 8
Numerical Analysis
Integral Equations
Mathematical Education
Metrics
H-Index
i10 Index
Citation Counts
57
131
9,379
* Total H IndexRankings
Ranking Based On Selection: 9
Metrics
H-Index
i10 Index
Citation Counts
49
237
13,721
* Total H IndexRankings
Ranking Based On Selection: 10
Data Envelopment Analysis
Operation Research
Metrics
H-Index
i10 Index
Citation Counts
49
150
9,586
* Total H IndexRankings
Ranking Based On Selection: 11
IWRM
Machine Learning
ANN & GA
GIS & RS
Uncertainty
Metrics
H-Index
i10 Index
Citation Counts
47
93
5,210
* Total H IndexRankings
Ranking Based On Selection: 12
Mathematics - Integral equation - Numerical methods
Metrics
H-Index
i10 Index
Citation Counts
46
153
7,345
* Total H IndexRankings
Ranking Based On Selection: 13
Numerical Analysis
Numerical solution of functionl equations
Metrics
H-Index
i10 Index
Citation Counts
45
123
7,060
* Total H IndexRankings
Ranking Based On Selection: 14
Mathematical Chemistry
Computational Group Theory
Chemical Graph Theory
Finite Groups
Mathematical Physics
Metrics
H-Index
i10 Index
Citation Counts
45
239
9,762
* Total H IndexRankings
Ranking Based On Selection: 15
Functional Analysis (Banach Algebras) •Game Theory • Functional Equations • Nonlinear
Metrics
H-Index
i10 Index
Citation Counts
44
156
6,961
* Total H IndexRankings
Ranking Based On Selection: 16
Fuzzy Optimization
Fuzzy Mathematical Programming
Data Envelopment Analysis
Network Flows
Metrics
H-Index
i10 Index
Citation Counts
43
103
4,735
* Total H IndexRankings
Ranking Based On Selection: 17
Math+Machine Learning
Meshless Methods
Fractional PDEs
Finite Element Method
Metrics
H-Index
i10 Index
Citation Counts
42
102
5,042
* Total H IndexRankings
Ranking Based On Selection: 18
Statistics
Distribution theory
Metrics
H-Index
i10 Index
Citation Counts
42
98
5,454
* Total H IndexRankings
Ranking Based On Selection: 19
Wavelets Theory
Fractional Calculus
Fractional Optimal Control
Stochastic Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
41
119
4,992
* Total H IndexRankings
Ranking Based On Selection: 20
Numerical Analysis
Integral Equations
Stochastic Calculus
Metrics
H-Index
i10 Index
Citation Counts
40
107
4,269
* Total H IndexRankings
Ranking Based On Selection: 21
Lie group analysis
Fractional differential equations
Geometric numerical integration
Fractional calculus
Applied mathematics
Metrics
H-Index
i10 Index
Citation Counts
40
91
3,703
* Total H IndexRankings
Ranking Based On Selection: 22
Numerical Analysis
Numerical Optimization
Numerical Fuzzy Mathematics
Numerical Solution of ODEs
Numerical solution of PDEs
Metrics
H-Index
i10 Index
Citation Counts
40
187
7,062
* Total H IndexRankings
Ranking Based On Selection: 23
Mathematics
Functional Analysis
Operator Theory
Linear Algebra
Metrics
H-Index
i10 Index
Citation Counts
40
155
6,652
* Total H IndexRankings
Ranking Based On Selection: 24
Fractional Wavelet
Optimal Control Problem
Numerical Analysis
Integral Equations
Time-Delay Systems
Metrics
H-Index
i10 Index
Citation Counts
39
103
4,643
* Total H IndexRankings
Ranking Based On Selection: 25
Fuzzy Optimization
Operations Management
Computational Intelligence
Numerical Computations
Metrics
H-Index
i10 Index
Citation Counts
38
115
4,467
Mehdi Dehghan
Metrics
H-Index
i10-Index
Citation Counts
103
583
39,818
Numerical Solution of Partial Differential Equations
Numerical Linear Algebra and Matrix Computations
Solution of Integral Eqs
Saeid Abbasbandy
Metrics
H-Index
i10-Index
Citation Counts
81
293
23,620
Numerical Analysis
Homotopy analysis method
Mohammad Mirzazadeh
University of Guilan
Rasht, Iran
Metrics
H-Index
i10-Index
Citation Counts
71
262
15,188
Mathematical Physics
Nonlinear PDEs
Solitons
Hadi Rezazadeh
Metrics
H-Index
i10-Index
Citation Counts
62
237
12,233
Applied mathematics
Exact Solutions
Shahram Rezapour
Metrics
H-Index
i10-Index
Citation Counts
59
223
14,347
Nonlinear Analysis
Fractonal Calclus
Hybrid Systems
Finite Differences
Modeling Theory
Behzad Ghanbari
Kermanshah University of Technology
Kermanshah, Iran
Metrics
H-Index
i10-Index
Citation Counts
58
111
7,638
Numerical Analysis
Computational
Fractional calculus
Algebra
Group theory
Ring theory
Rough set theory
Fuzzy Logic
Esmail Babolian
Kharazmi University
Tehran, Iran
Metrics
H-Index
i10-Index
Citation Counts
57
131
9,379
Numerical Analysis
Integral Equations
Mathematical Education
Alireza Khosravi
University of Tehran
Tehran, Iran
Metrics
H-Index
i10-Index
Citation Counts
49
237
13,721
Gholam Reza Jahanshahloo
Kharazmi University
Tehran, Iran
Metrics
H-Index
i10-Index
Citation Counts
49
150
9,586
Data Envelopment Analysis
Operation Research
Kaveh Ostad Ali Askari
Isfahan University of Technology
Isfahan, Iran
Metrics
H-Index
i10-Index
Citation Counts
47
93
5,210
IWRM
Machine Learning
ANN & GA
GIS & RS
Uncertainty
Khosrow Maleknejad
Metrics
H-Index
i10-Index
Citation Counts
46
153
7,345
Mathematics - Integral equation - Numerical methods
Jafar Biazar J Biazar
University of Guilan
Rasht, Iran
Metrics
H-Index
i10-Index
Citation Counts
45
123
7,060
Numerical Analysis
Numerical solution of functionl equations
Ali Reza Ashrafi
University of Kashan
Kashan, Iran
Metrics
H-Index
i10-Index
Citation Counts
45
239
9,762
Mathematical Chemistry
Computational Group Theory
Chemical Graph Theory
Finite Groups
Mathematical Physics
Madjid Eshi Gordji
Semnan University
Semnan, Iran
Metrics
H-Index
i10-Index
Citation Counts
44
156
6,961
Functional Analysis (Banach Algebras) •Game Theory • Functional Equations • Nonlinear
Ali Ebrahimnejad
Islamic Azad University Qaemshahr
Ghaemshahr, Iran
Metrics
H-Index
i10-Index
Citation Counts
43
103
4,735
Fuzzy Optimization
Fuzzy Mathematical Programming
Data Envelopment Analysis
Network Flows
Mostafa Abbaszadeh
Metrics
H-Index
i10-Index
Citation Counts
42
102
5,042
Math+Machine Learning
Meshless Methods
Fractional PDEs
Finite Element Method
Morad Alizadeh
Persian Gulf University Bushehr
Bushehr, Iran
Metrics
H-Index
i10-Index
Citation Counts
42
98
5,454
Statistics
Distribution theory
Mohammad Hossein Heydari
Shiraz University of Technology
Shiraz, Iran
Metrics
H-Index
i10-Index
Citation Counts
41
119
4,992
Wavelets Theory
Fractional Calculus
Fractional Optimal Control
Stochastic Differential Equations
Farshid Mirzaee|F. Mirzaee, فرشید میرزائی
University of Malayer
Malayer, Iran
Metrics
H-Index
i10-Index
Citation Counts
40
107
4,269
Numerical Analysis
Integral Equations
Stochastic Calculus
Mir Sajjad Hashemi
University of Bonab
Bonab, Iran
Metrics
H-Index
i10-Index
Citation Counts
40
91
3,703
Lie group analysis
Fractional differential equations
Geometric numerical integration
Fractional calculus
Applied mathematics
Mohammad Mehdi Hosseini
Metrics
H-Index
i10-Index
Citation Counts
40
187
7,062
Numerical Analysis
Numerical Optimization
Numerical Fuzzy Mathematics
Numerical Solution of ODEs
Numerical solution of PDEs
Mohammad Sal Moslehian
Ferdowsi University of Mashhad
Mashhad, Iran
Metrics
H-Index
i10-Index
Citation Counts
40
155
6,652
Mathematics
Functional Analysis
Operator Theory
Linear Algebra
Yadollah Ordokhani|يدالله اردوخاني
Alzahra University
Tehran, Iran
Metrics
H-Index
i10-Index
Citation Counts
39
103
4,643
Fractional Wavelet
Optimal Control Problem
Numerical Analysis
Integral Equations
Time-Delay Systems
SA Edalatpanah
Ayandegan Institute of Higher Education
Tonekabone, Iran
Metrics
H-Index
i10-Index
Citation Counts
38
115
4,467
Fuzzy Optimization
Operations Management
Computational Intelligence
Numerical Computations