Leaderboards/Mathematical Approximation and Integration

Mathematical Approximation and Integration

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Henry Cohn
Microsoft (United States)
2
Matthieu Dolbeault
RWTH Aachen University
3
Philipp A. Guth
Johann Radon Institute for Computational and Applied Mathematics
4
Grant M. Rotskoff
Institute of Mathematical Statistics
5
Birojit Das
Amity University
6
Samuel Broadbent
University of Lethbridge
7
Abdalla G. M. Ahmed
University of Konstanz
8
Fernando Albiac
University of Missouri
9
Mélisande Albert
Université Toulouse III - Paul Sabatier
10
Alexander D. Gilbert
Beth Israel Deaconess Medical Center

Rising Stars Papers

1
Sampling thermodynamic ensembles of molecular systems with generative neural networks: Will integrating physics-based models close the generalization gap?
Current Opinion in Solid State and Materials Science|2024
15 cit.
2
Data-Efficient Generation of Protein Conformational Ensembles with Backbone-to-Side-Chain Transformers
The Journal of Physical Chemistry B|2024
14 cit.
3
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration
Numerische Mathematik|2024
12 cit.
4
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces
SIAM Journal on Numerical Analysis|2024
11 cit.
5
Adaptive nonequilibrium design of actin-based metamaterials: Fundamental and practical limits of control
Proceedings of the National Academy of Sciences|2024
10 cit.
6
Microscopic origin of tunable assembly forces in chiral active environments
Soft Matter|2024
10 cit.
7
Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond
SIAM Journal on Numerical Analysis|2024
8 cit.
8
Committor Guided Estimates of Molecular Transition Rates
Journal of Chemical Theory and Computation|2024
8 cit.
9
Universal energy-speed-accuracy trade-offs in driven nonequilibrium systems
Physical review. E|2025
7 cit.
10
Coacervation drives morphological diversity of mRNA encapsulating nanoparticles
The Journal of Chemical Physics|2025
7 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Yao Zhou
Xi'an Jiaotong University
2
Jong‐Chin Huang
National Pingtung University
3
Xin Zhang
Florida State University
4
Md. Nasiruzzaman
University of Tabuk
5
J. Schlenk
University of Zurich
6
Alberth Alvarado
Galileo University
7
Sophie Langer
Technische Universität Darmstadt
8
Yumeng Ou
Massachusetts Institute of Technology
9
Kateryna Pozharska
Institute of Mathematics
10
Sevda Yıldız
Sinop University

Emerging Leaders Papers

1
Numerical scattering amplitudes with pySecDec
Computer Physics Communications|2023
45 cit.
2
Construction of q-Baskakov Operators by Wavelets and Approximation Properties
Iranian Journal of Science and Technology Transactions A Science|2022
40 cit.
3
Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters
Filomat|2022
35 cit.
4
Estimation of a Function of Low Local Dimensionality by Deep Neural Networks
IEEE Transactions on Information Theory|2022
29 cit.
5
Approximation via equi-statistical convergence in the sense of power series method
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas|2022
26 cit.
6
Approximation by Stancu variant of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.svg" display="inline" id="d1e129"><mml:mi>λ</mml:mi></mml:math>-Bernstein shifted knots operators associated by Bézier basis function
Journal of King Saud University - Science|2024
25 cit.
7
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm
SIAM Journal on Numerical Analysis|2022
22 cit.
8
Numerical simulation on the direct contact condensation in a steam-water two-phase ejector with non-condensable gas
International Journal of Thermal Sciences|2022
22 cit.
9
Approximation Process Based on Parametric Generalization of Schurer–Kantorovich Operators and their Bivariate Form
Proceedings of the National Academy of Sciences India Section A Physical Sciences|2022
17 cit.
10
Acute and Chronic Effects of Fin Amputation on Behavior Performance of Adult Zebrafish in 3D Locomotion Test Assessed with Fractal Dimension and Entropy Analyses and Their Relationship to Fin Regeneration
Biology|2022
17 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Ian H. Sloan
UNSW Sydney
2
Max Gunzburger
The University of Texas at Austin
3
Henryk Woźniakowski
University of Warsaw
4
Cihan Orhan
Institute of Mathematics and Mechanics
5
Klaus Ritter
University of Passau
6
Michael Griebel
Fraunhofer Institute for Algorithms and Scientific Computing
7
Vincenzo Maria Tortorelli
Scuola Normale Superiore
8
Christoph Schwab
ETH Zurich
9
S. A. Mohiuddine
King Abdulaziz University
10
Arno B. J. Kuijlaars
KU Leuven

Current Senior Leaders Papers

1
Centroidal Voronoi Tessellations: Applications and Algorithms
SIAM Review|1999
2.2k cit.
2
Approximation of functional depending on jumps by elliptic functional via t‐convergence
Communications on Pure and Applied Mathematics|1990
1.4k cit.
3
Distributing many points on a sphere
The Mathematical Intelligencer|1997
1.1k cit.
4
Sparse grids
Acta Numerica|2004
1k cit.
5
Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
SIAM Review|2018
1k cit.
6
Numerical integration using sparse grids
Numerical Algorithms|1998
916 cit.
7
High dimensional polynomial interpolation on sparse grids
Advances in Computational Mathematics|2000
636 cit.
8
High-dimensional integration: The quasi-Monte Carlo way
Acta Numerica|2013
634 cit.
9
When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?
Journal of Complexity|1998
630 cit.
10
Molecular Simulation of the Influence of Chemical Cross-Links on the Shear Strength of Carbon Nanotube−Polymer Interfaces
The Journal of Physical Chemistry B|2002
626 cit.

Indexing Mathematical Approximation and Integration Reagents

Citation data for reagents in this field is currently compiling.