Leaderboards/Advanced Numerical Analysis Techniques

Advanced Numerical Analysis Techniques

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Towaki Takikawa
University of Waterloo
2
Anandaram Mandyam N
Bangalore University
3
Congyue Deng
Stanford University
4
Rebekka V. Woldseth
Laboratoire Lorrain de Recherche en Informatique et ses Applications
5
Raj Kiran
Indian Institute of Technology Mandi
6
Tapas Tripura
Indian Institute of Technology Delhi
7
Georgios Kopanas
Google (United Kingdom)
8
J. Ryan Shue
Milton District Hospital
9
Baptiste Nicolet
École Polytechnique Fédérale de Lausanne
10
Ahmed Mostafa Shaaban
Technical University of Munich

Rising Stars Papers

1
On the phase-field modeling of thermo-electromechanical brittle fracture in piezoceramics using an adaptive isogeometric approach
Engineering Fracture Mechanics|2024
31 cit.
2
Phase-field modeling of brittle anisotropic fracture in polycrystalline materials under combined thermo-mechanical loadings
Computers & Structures|2025
16 cit.
3
On the isogeometric analysis of vibration and buckling of bioinspired composite plates using inverse hyperbolic shear deformation theory
Mechanics Based Design of Structures and Machines|2024
10 cit.
4
Inverse Rendering for Tomographic Volumetric Additive Manufacturing
ACM Transactions on Graphics|2024
10 cit.
5
3D isogeometric indirect BEM solution based on virtual surface sources on the boundaries of Helmholtz acoustic problems
Engineering With Computers|2024
9 cit.
6
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis
Probabilistic Engineering Mechanics|2024
9 cit.
7
An 808 line phasor-based dehomogenisation Matlab code for multi-scale topology optimisation
Structural and Multidisciplinary Optimization|2024
6 cit.
8
Data-driven discovery of interpretable Lagrangian of stochastically excited dynamical systems
Computer Methods in Applied Mechanics and Engineering|2024
3 cit.
9
Three dimensional isogeometric boundary element method for acoustic problems with viscothermal losses
Computer Methods in Applied Mechanics and Engineering|2025
3 cit.
10
Forced vibration analysis of isogeometric Reissner–Mindlin shells using modal superposition methods
Thin-Walled Structures|2025
3 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Lukas Großberger
Robert Bosch (United States)
2
Elena Atroshchenko
UNSW Sydney
3
Thomas Takacs
Johannes Kepler University of Linz
4
Xiao‐Ming Fu
University of Science and Technology of China
5
Lei Zou
Guodian Institute of Science and Technology
6
Tiantang Yu
Hohai University
7
Jiajun Wu
Massachusetts Institute of Technology
8
Leong Hien Poh
National University of Singapore
9
Adarsh Krishnamurthy
Iowa State University
10
Theodore Kim
Unknown

Emerging Leaders Papers

1
Encryption-Decryption-Based State Estimation With Multirate Measurements Against Eavesdroppers: A Recursive Minimum-Variance Approach
IEEE Transactions on Automatic Control|2023
103 cit.
2
Encrypted Finite-Horizon Energy-to-Peak State Estimation for Time-Varying Systems Under Eavesdropping Attacks: Tackling Secrecy Capacity
IEEE/CAA Journal of Automatica Sinica|2023
92 cit.
3
Ego-Body Pose Estimation via Ego-Head Pose Estimation
Unknown Journal|2023
70 cit.
4
ObjectFolder 2.0: A Multisensory Object Dataset for Sim2Real Transfer
2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)|2022
59 cit.
5
Moving horizon estimation over relay channels: Dealing with packet losses
Automatica|2023
59 cit.
6
Evaluating Neural Radiance Fields for 3D Plant Geometry Reconstruction in Field Conditions
Plant Phenomics|2024
56 cit.
7
Recursive Fault Estimation With Energy Harvesting Sensors and Uniform Quantization Effects
IEEE/CAA Journal of Automatica Sinica|2022
50 cit.
8
ZeroNVS: Zero-Shot 360-Degree View Synthesis from a Single Image
Unknown Journal|2024
45 cit.
9
Maximum Correntropy Kalman Filtering for Non-Gaussian Systems With State Saturations and Stochastic Nonlinearities
IEEE/CAA Journal of Automatica Sinica|2023
41 cit.
10
Sequential Fusion Estimation for Multirate Complex Networks With Uniform Quantization: A Zonotopic Set-Membership Approach
IEEE Transactions on Neural Networks and Learning Systems|2022
38 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Thomas J.R. Hughes
The University of Texas at Austin
2
Luminita A. Vese
University of California, Los Angeles
3
Yuri Bazilevs
Waseda University
4
Timon Rabczuk
Bauhaus-Universität Weimar
5
Hugues Hoppe
Microsoft Research (United Kingdom)
6
Peter Schröder
California Institute of Technology
7
Giancarlo Sangalli
University of Pavia
8
Dongming Guo
Dalian University of Technology
9
Alessandro Reali
University of Pavia
10
Hans‐Peter Seidel
Max Planck Institute for Informatics

Current Senior Leaders Papers

1
Active contours without edges
IEEE Transactions on Image Processing|2001
10.3k cit.
2
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Computer Methods in Applied Mechanics and Engineering|2005
6.2k cit.
3
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering|1982
5.3k cit.
4
A level set method for structural topology optimization
Computer Methods in Applied Mechanics and Engineering|2002
3.2k cit.
5
Progressive meshes
Unknown Journal|1996
2.8k cit.
6
Surface reconstruction from unorganized points
Unknown Journal|1992
2.7k cit.
7
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision|2002
2.4k cit.
8
Screened poisson surface reconstruction
ACM Transactions on Graphics|2013
2.2k cit.
9
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
Computer Methods in Applied Mechanics and Engineering|2020
1.9k cit.
10
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
Computer Methods in Applied Mechanics and Engineering|1995
1.8k cit.

Reagents for Advanced Numerical Analysis Techniques

Citation-validated products used in this field

🔥 Trending

Gaining adoption fast

⭐ Top Rated

Best all-around

🌟 All-Time

Most validated

Cell Signaling TechnologyEvidence 64

Stat2 (D9J7L) Rabbit Monoclonal Antibody (InTraSeq™ 3' Conjugate 3093)

#84800$434
View Evidence →
Cell Signaling TechnologyEvidence 64

FastScan™ Total GSK-3 alpha ELISA Kit

#74929$67,830,490
View Evidence →