Leaderboards/Advanced Mathematical Modeling in Engineering

Advanced Mathematical Modeling in Engineering

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Ángel Crespo‐Blanco
Technische Universität Berlin
2
Cristiana De Filippis
University of Parma
3
Rakesh Arora
Indian Institute of Technology BHU
4
Jiaohui Xu
Northwest University
5
Kamalendu Ghosh
University of Illinois Urbana-Champaign
6
Li Zheng
ETH Zurich
7
Paola F. Antonietti
Politecnico di Milano
8
Sumit Saini
Central University of Haryana
9
Wenbin Lyu
Shanxi University of Traditional Chinese Medicine
10
Laura Baldelli
University of Florence

Rising Stars Papers

1
Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise
SIAM Journal on Mathematical Analysis|2024
29 cit.
2
On logarithmic double phase problems
Journal of Differential Equations|2025
22 cit.
3
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
Journal of Computational Physics|2024
19 cit.
4
Dynamics and Wong-Zakai Approximations of Stochastic Nonlocal PDEs with Long Time Memory
Qualitative Theory of Dynamical Systems|2024
19 cit.
5
Least energy sign-changing solution for degenerate Kirchhoff double phase problems
Journal of Differential Equations|2024
17 cit.
6
Normalized solutions to a class of (2, <i>q</i> )-Laplacian equations
Advanced Nonlinear Studies|2025
12 cit.
7
<tt>lymph</tt> : Discontinuous Polytopal Methods for Multi-Physics Differential Problems
ACM Transactions on Mathematical Software|2025
11 cit.
8
A Virtual Element method for non-Newtonian pseudoplastic Stokes flows
Computer Methods in Applied Mechanics and Engineering|2024
9 cit.
9
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Journal of Scientific Computing|2024
9 cit.
10
Logarithmic double phase problems with generalized critical growth
Nonlinear Differential Equations and Applications NoDEA|2025
8 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Renhai Wang
Guizhou Normal University
2
Benjamin Combs
Michigan State University
3
Raimondo Penta
Politecnico di Milano
4
Yao Zhou
Xi'an Jiaotong University
5
Teresa Isernia
Marche Polytechnic University
6
Yating Wang
Xi'an Jiaotong University
7
Shana Elbaum‐Garfinkle
The Graduate Center, CUNY
8
Bitao Cheng
Qujing Normal University
9
Yi‐Hsuan Lin
University of Washington
10
Jia Zhao
Jiaxing University

Emerging Leaders Papers

1
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
Journal of Computational Physics|2022
154 cit.
2
Tunable selectivity on copper–bismuth bimetallic aerogels for electrochemical CO2 reduction
Applied Catalysis B: Environmental|2022
54 cit.
3
Liquid to solid transition of elastin condensates
Proceedings of the National Academy of Sciences|2022
51 cit.
4
Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains
SIAM Journal on Mathematical Analysis|2023
40 cit.
5
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
Calculus of Variations and Partial Differential Equations|2022
32 cit.
6
Social media analytics for mining customer complaints to explore product opportunities
Computers & Industrial Engineering|2023
30 cit.
7
Fractal dimension of random invariant sets and regular random attractors for stochastic hydrodynamical equations
Mathematische Annalen|2023
30 cit.
8
Simultaneous recoveries for semilinear parabolic systems
Inverse Problems|2022
27 cit.
9
Asymptotic stability of evolution systems of probability measures for nonautonomous stochastic systems: Theoretical results and applications
Proceedings of the American Mathematical Society|2022
25 cit.
10
Linear relaxation schemes for the Allen–Cahn-type and Cahn–Hilliard-type phase field models
Applied Mathematics Letters|2022
23 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Noboru Kikuchi
Toyota Central Research and Development Laboratories (Japan)
2
Giuseppe Mingione
University of Parma
3
Vicenţiu D. Rădulescu
Institute of Applied Mechanics
4
Enrique Zuazua
Friedrich-Alexander-Universität Erlangen-Nürnberg
5
Enrico Valdinoci
The University of Western Australia
6
Günther Uhlmann
University of Washington
7
Miroslav Krstić
University of California System
8
Masahiro Yamamoto
The University of Tokyo
9
Joel Spruck
Brooklyn College
10
Juncheng Wei
Chinese University of Hong Kong

Current Senior Leaders Papers

1
Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering|1988
7.3k cit.
2
Hitchhikerʼs guide to the fractional Sobolev spaces
Bulletin des Sciences Mathématiques|2011
4.3k cit.
3
A Global Uniqueness Theorem for an Inverse Boundary Value Problem
Annals of Mathematics|1987
1.5k cit.
4
Proceedings of the IEEE Conference on Decision and Control
Unknown Journal|2009
1.5k cit.
5
Stability of extremum seeking feedback for general nonlinear dynamic systems
Automatica|2000
1.3k cit.
6
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
Communications on Pure and Applied Mathematics|1989
1.3k cit.
7
Global and local behavior of positive solutions of nonlinear elliptic equations
Communications on Pure and Applied Mathematics|1981
1.3k cit.
8
Motion of level sets by mean curvature. I
Journal of Differential Geometry|1991
1.2k cit.
9
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
Journal of Mathematical Analysis and Applications|2011
1.2k cit.
10
Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time
Automatica|2017
1.1k cit.

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