Leaderboards/Numerical methods in inverse problems

Numerical methods in inverse problems

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Smina Djennadi
University of Béjaïa
2
Emilia Blåsten
Lappeenranta-Lahti University of Technology
3
Bin Shi
Chinese Academy of Sciences
4
Sifan Wang
APT Foundation
5
Muhammad Ahsan
University of Swabi
6
Cristiana De Filippis
University of Parma
7
Grace Nnennaya Ogwo
Zhejiang Normal University
8
Emeka C. Godwin
University of KwaZulu-Natal
9
Zhengwu Miao
East China Normal University
10
Davron Aslonqulovich Juraev
Azerbaijan Scientific-Research & Design-Prospecting Power Engineering Institute

Rising Stars Papers

1
Respecting causality for training physics-informed neural networks
Computer Methods in Applied Mechanics and Engineering|2024
269 cit.
2
Sharp-PINNs: Staggered hard-constrained physics-informed neural networks for phase field modelling of corrosion
Computer Methods in Applied Mechanics and Engineering|2025
10 cit.
3
A time-domain FEM-BEM iterative coupling algorithm with dual-independent discretizations in both time and space domains
Engineering Analysis with Boundary Elements|2024
8 cit.
4
Ensemble Machine Learning Approaches for Robust Classification of Maize Plant Leaf Diseases
Journal of Modern Technology|2024
7 cit.
5
A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions
Journal of Applied Mathematics and Computing|2024
6 cit.
6
Micrometer: Micromechanics transformer for predicting full field mechanical responses of heterogeneous materials
Computer Methods in Applied Mechanics and Engineering|2025
6 cit.
7
The multi-resolution Haar wavelets collocation procedure for fractional Riccati equations
Physica Scripta|2024
5 cit.
8
Performance analysis of input power variations in high data rate DWDM-FSO systems under various rain conditions
Journal of Optics|2025
5 cit.
9
Quantified Legendreness and the Regularity of Minima
Archive for Rational Mechanics and Analysis|2024
4 cit.
10
AN INVERSE TIME-DEPENDENT DIFFUSION COEFFICIENT PROBLEM FOR A SPACE-FRACTIONAL DIFFUSION EQUATION
Fractals|2025
2 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Bing Yu
Xi'an Institute of Optics and Precision Mechanics
2
Jingni Xiao
Hong Kong Baptist University
3
Yi‐Hsuan Lin
University of Washington
4
Nguyen Huu Can
Ton Duc Thang University
5
Abhik Sur
Techno India Group (India)
6
Roberto Molinaro
ETH Zurich
7
Alexander K. Ridgway
California Institute of Technology
8
Jian Zhai
Hong Kong University of Science and Technology
9
Zhidong Zhang
Hebei Agricultural University
10
Yiran Wang
Hong Kong University of Science and Technology

Emerging Leaders Papers

1
wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis|2024
43 cit.
2
Photo-thermoelastic inter action in a semiconductor with cylindrical cavity due to memory-effect
Mechanics of Time-Dependent Materials|2023
40 cit.
3
Elasto-thermodiffusive nonlocal responses for a spherical cavity due to memory effect
Mechanics of Time-Dependent Materials|2023
35 cit.
4
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
Calculus of Variations and Partial Differential Equations|2022
32 cit.
5
Social media analytics for mining customer complaints to explore product opportunities
Computers & Industrial Engineering|2023
30 cit.
6
Magneto-photo-thermoelastic interaction in a slim strip characterized by hereditary features with two relaxation times
Mechanics of Time-Dependent Materials|2023
29 cit.
7
Simultaneous recoveries for semilinear parabolic systems
Inverse Problems|2022
27 cit.
8
Nonlinear Ultrasound Imaging Modeled by a Westervelt Equation
SIAM Journal on Applied Mathematics|2022
25 cit.
9
Nonlocal General Generalized Thermoelastic Interaction in a Rod with Memory Response
International Journal of Theoretical Physics|2024
25 cit.
10
Moore–Gibson–Thompson generalized heat conduction in a thick plate
Indian Journal of Physics|2023
24 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Marc Teboulle
Tel Aviv University
2
Günther Uhlmann
University of Washington
3
Stanley Osher
University of California, Los Angeles
4
Masahiro Yamamoto
The University of Tokyo
5
Thomas Pock
Graz University of Technology
6
Christine De Mol
Université Libre de Bruxelles
7
Michel Defrise
Vrije Universiteit Brussel
8
Dianne P. O’Leary
University of Maryland, College Park
9
D. Lesnic
University of Leeds
10
Enrique Zuazua
Friedrich-Alexander-Universität Erlangen-Nürnberg

Current Senior Leaders Papers

1
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics|1988
13.9k cit.
2
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
SIAM Journal on Imaging Sciences|2009
12k cit.
3
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
Communications on Pure and Applied Mathematics|2004
5k cit.
4
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics|1989
4.9k cit.
5
A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
Journal of Computational Physics|1994
4.7k cit.
6
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics|1988
4.7k cit.
7
A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
Journal of Mathematical Imaging and Vision|2010
4.4k cit.
8
The Split Bregman Method for L1-Regularized Problems
SIAM Journal on Imaging Sciences|2009
4.3k cit.
9
The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
SIAM Journal on Scientific Computing|1993
3.1k cit.
10
Level Set Methods: An Overview and Some Recent Results
Journal of Computational Physics|2001
2.3k cit.

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