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
Numerical Analysis
Numerical Linear Algebra
Information Retrival
Data Mining
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
27,457
18,055
0.658
* Total Citation Counts Rankings
Ranking Based On Selection :2
Fractional Calculus
Fractals
Number Theory
Integral Transforms
Special Functions
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,553
8,615
0.592
* Total Citation Counts Rankings
Ranking Based On Selection :3
Nonlinear mathematical physics
integrable system and its application
Riemann-Hilbert problem
differential equation and its initial-boundary value problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,005
5,088
0.726
* Total Citation Counts Rankings
Ranking Based On Selection :4
Neural networks
Stochastic differential equations
Stability analysis
Memristor
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,290
1,948
0.851
* Total Citation Counts Rankings
Ranking Based On Selection :5
Network Science
Complex system
Nonlinear Dynamics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,158
669
0.578
* Total Citation Counts Rankings
Ranking Based On Selection :6
Nonliear Partial Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
299
237
0.793
* Total Citation Counts Rankings
Ranking Based On Selection :7
Fractional derivative
Creep
Permeability
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
188
187
0.995
* Total Citation Counts Rankings
Ranking Based On Selection :8
Mathematical physics
Integrable systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
169
73
0.432
* Total Citation Counts Rankings
Ranking Based On Selection :9
Mathematical Finance
Stochastic Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
129
81
0.628
* Total Citation Counts Rankings
Ranking Based On Selection :10
Hardy-Littlewood Method
Sieve Method
Analytic Number Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
88
81
0.920
* Total Citation Counts Rankings
Ranking Based On Selection :11
Computational and application of harmonic analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31
31
1.000
Wu Gang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
27,457
18,055
0.658
Numerical Analysis
Numerical Linear Algebra
Information Retrival
Data Mining
Xiao Jun Yang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,553
8,615
0.592
Fractional Calculus
Fractals
Number Theory
Integral Transforms
Special Functions
Shou Fu Tian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,005
5,088
0.726
Nonlinear mathematical physics
integrable system and its application
Riemann-Hilbert problem
differential equation and its initial-boundary value problems
Song Zhu 朱松
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,290
1,948
0.851
Neural networks
Stochastic differential equations
Stability analysis
Memristor
Yongzheng Sun
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,158
669
0.578
Network Science
Complex system
Nonlinear Dynamics
Xingxing Liu
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
299
237
0.793
Nonliear Partial Differential Equations
Teng Su
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
188
187
0.995
Fractional derivative
Creep
Permeability
Tian Kai
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
169
73
0.432
Mathematical physics
Integrable systems
Dejian Tian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
129
81
0.628
Mathematical Finance
Stochastic Analysis
Jinjiang Li
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
88
81
0.920
Hardy-Littlewood Method
Sieve Method
Analytic Number Theory
Shuhui Yang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31
31
1.000
Computational and application of harmonic analysis