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 31, 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 (870.053) 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 Analysis
Differential Equations
Fractional Calculus
Fluid Mechanics
Nonlinear Dynamics
Metrics
H-Index
i10 Index
Citation Counts
89
302
27,426
* Total H IndexRankings
Ranking Based On Selection: 2
Numerical analysis
Computational Fluid Dynamics
Fractional ODEs and PDEs
Metrics
H-Index
i10 Index
Citation Counts
53
192
8,880
* Total H IndexRankings
Ranking Based On Selection: 3
Elasticity
Viscoelasticity
thermoelsaticity
Hyperbolic systems
heat
Metrics
H-Index
i10 Index
Citation Counts
52
159
9,278
* Total H IndexRankings
Ranking Based On Selection: 4
Plasma physics
nonlinear physics
materials science
soliton theory
Metrics
H-Index
i10 Index
Citation Counts
49
139
7,528
* Total H IndexRankings
Ranking Based On Selection: 5
Distance in Graphs
Graph Labeling
Chemical Graph Theory
Spectral Graph theory
Metrics
H-Index
i10 Index
Citation Counts
42
127
5,717
* Total H IndexRankings
Ranking Based On Selection: 6
Mathematical Analysis
Numerical Analysis
Biomathematics
Metrics
H-Index
i10 Index
Citation Counts
41
99
5,292
* Total H IndexRankings
Ranking Based On Selection: 7
Commutative Algebra
Multiplicative Ideal Theory
Ring Theory
Algebra
Graphs associated to rings
Metrics
H-Index
i10 Index
Citation Counts
33
54
4,197
* Total H IndexRankings
Ranking Based On Selection: 8
Kernel Methods in Machine Learning
Spatial Statistics
Applied Probability
Data Science
Metrics
H-Index
i10 Index
Citation Counts
33
100
3,848
* Total H IndexRankings
Ranking Based On Selection: 9
operator algebras
functional analysis
dynamical systems
Metrics
H-Index
i10 Index
Citation Counts
32
130
4,078
* Total H IndexRankings
Ranking Based On Selection: 10
Biostatistics & Epidemiology
Metrics
H-Index
i10 Index
Citation Counts
31
57
7,930
* Total H IndexRankings
Ranking Based On Selection: 11
Mathematical Modeling
Metrics
H-Index
i10 Index
Citation Counts
30
67
3,495
* Total H IndexRankings
Ranking Based On Selection: 12
Partial Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
30
54
2,858
* Total H IndexRankings
Ranking Based On Selection: 13
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
29
65
2,842
* Total H IndexRankings
Ranking Based On Selection: 14
nonlinear waves
solitons
pattern formation
applied mathematics
Metrics
H-Index
i10 Index
Citation Counts
29
80
2,677
* Total H IndexRankings
Ranking Based On Selection: 15
Applied Mathematics - Partial Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
25
40
1,954
* Total H IndexRankings
Ranking Based On Selection: 16
Statistics & Data Analytics
Metrics
H-Index
i10 Index
Citation Counts
23
37
1,612
* Total H IndexRankings
Ranking Based On Selection: 17
Chemical Graph Theory
Extremal Graph Theory
Computational Mathematical Chemistry
Metrics
H-Index
i10 Index
Citation Counts
22
50
1,371
* Total H IndexRankings
Ranking Based On Selection: 18
control theory
partial differential equations
numerical approximation
Metrics
H-Index
i10 Index
Citation Counts
22
37
1,782
* Total H IndexRankings
Ranking Based On Selection: 19
Computational Systems Biology
Finite dynamical systems
Computational Commutative algebra
Metrics
H-Index
i10 Index
Citation Counts
21
34
1,800
* Total H IndexRankings
Ranking Based On Selection: 20
Harmonic Analysis
Fourier Analysis
Function Spaces
Metrics
H-Index
i10 Index
Citation Counts
19
50
1,847
* Total H IndexRankings
Ranking Based On Selection: 21
Mathematical Physics
General Relativity
Differential Geometry
Fuchsian Differential Equations
Quantum Gravity
Metrics
H-Index
i10 Index
Citation Counts
18
28
835
* Total H IndexRankings
Ranking Based On Selection: 22
algebra
group rings
crystallographic groups
linear algebra
Metrics
H-Index
i10 Index
Citation Counts
18
35
926
* Total H IndexRankings
Ranking Based On Selection: 23
Magnetohydrodynamics
Mathematical Fluid Mechanics
Nanofluids
Heat and Mass Transfer
Non
Metrics
H-Index
i10 Index
Citation Counts
17
21
728
* Total H IndexRankings
Ranking Based On Selection: 24
Cryptocurrencies
Blockchain
Mathematics
Extreme Values Theory
Statistical Modelling
Metrics
H-Index
i10 Index
Citation Counts
17
32
2,005
* Total H IndexRankings
Ranking Based On Selection: 25
Partial Differential Equations
Fluid Dynamics
Navier-Stokes Equations
Control of Infinite Dimensional Systems
Free Boundary
Metrics
H-Index
i10 Index
Citation Counts
17
25
1,204
Shaher Momani
Metrics
H-Index
i10-Index
Citation Counts
89
302
27,426
Numerical Analysis
Differential Equations
Fractional Calculus
Fluid Mechanics
Nonlinear Dynamics
Qasem Al-Mdallal
Metrics
H-Index
i10-Index
Citation Counts
53
192
8,880
Numerical analysis
Computational Fluid Dynamics
Fractional ODEs and PDEs
Salim A Messaoudi
Metrics
H-Index
i10-Index
Citation Counts
52
159
9,278
Elasticity
Viscoelasticity
thermoelsaticity
Hyperbolic systems
heat
Ioannis Kourakis
Metrics
H-Index
i10-Index
Citation Counts
49
139
7,528
Plasma physics
nonlinear physics
materials science
soliton theory
Muhammad Imran
Metrics
H-Index
i10-Index
Citation Counts
42
127
5,717
Distance in Graphs
Graph Labeling
Chemical Graph Theory
Spectral Graph theory
Fathalla A Rihan
Metrics
H-Index
i10-Index
Citation Counts
41
99
5,292
Mathematical Analysis
Numerical Analysis
Biomathematics
Ayman Badawi
Metrics
H-Index
i10-Index
Citation Counts
33
54
4,197
Commutative Algebra
Multiplicative Ideal Theory
Ring Theory
Algebra
Graphs associated to rings
Emilio Porcu
Metrics
H-Index
i10-Index
Citation Counts
33
100
3,848
Kernel Methods in Machine Learning
Spatial Statistics
Applied Probability
Data Science
Farrukh Mukhamedov
Metrics
H-Index
i10-Index
Citation Counts
32
130
4,078
operator algebras
functional analysis
dynamical systems
Abderrahim Oulhaj
Metrics
H-Index
i10-Index
Citation Counts
31
57
7,930
Hussam Alrabaiah
Metrics
H-Index
i10-Index
Citation Counts
30
67
3,495
Belkacem Said-Houari
Metrics
H-Index
i10-Index
Citation Counts
30
54
2,858
Partial Differential Equations
Muhammed Syam
Metrics
H-Index
i10-Index
Citation Counts
29
65
2,842
Hadi Susanto
Metrics
H-Index
i10-Index
Citation Counts
29
80
2,677
nonlinear waves
solitons
pattern formation
applied mathematics
Muhammad Islam Mustafa
Metrics
H-Index
i10-Index
Citation Counts
25
40
1,954
Applied Mathematics - Partial Differential Equations
Taoufik Zoubeidi
Metrics
H-Index
i10-Index
Citation Counts
23
37
1,612
Zahid Raza
Metrics
H-Index
i10-Index
Citation Counts
22
50
1,371
Chemical Graph Theory
Extremal Graph Theory
Computational Mathematical Chemistry
Abdelaziz Soufyane
Metrics
H-Index
i10-Index
Citation Counts
22
37
1,782
control theory
partial differential equations
numerical approximation
Abdul Salam Jarrah
Metrics
H-Index
i10-Index
Citation Counts
21
34
1,800
Computational Systems Biology
Finite dynamical systems
Computational Commutative algebra
Humberto Rafeiro
Metrics
H-Index
i10-Index
Citation Counts
19
50
1,847
Harmonic Analysis
Fourier Analysis
Function Spaces
Davide Batic
Metrics
H-Index
i10-Index
Citation Counts
18
28
835
Mathematical Physics
General Relativity
Differential Geometry
Fuchsian Differential Equations
Quantum Gravity
Victor Bovdi (В А Бовди)
Metrics
H-Index
i10-Index
Citation Counts
18
35
926
algebra
group rings
crystallographic groups
linear algebra
Saranya Shekar|S. Saranya, Shekar Saranya
Metrics
H-Index
i10-Index
Citation Counts
17
21
728
Magnetohydrodynamics
Mathematical Fluid Mechanics
Nanofluids
Heat and Mass Transfer
Non
Stephen Chan
Metrics
H-Index
i10-Index
Citation Counts
17
32
2,005
Cryptocurrencies
Blockchain
Mathematics
Extreme Values Theory
Statistical Modelling
Amjad Tuffaha
Metrics
H-Index
i10-Index
Citation Counts
17
25
1,204
Partial Differential Equations
Fluid Dynamics
Navier-Stokes Equations
Control of Infinite Dimensional Systems
Free Boundary