World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
8444
World Ranking
2152
National Ranking
912

Jianfeng Lu publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Jianfeng Lu sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Jianfeng Lu D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Jianfeng Lu sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Jianfeng Lu is affiliated with Duke University in the United States and has made contributions across multiple scientific disciplines, including computer science, physics and astronomy, and engineering. Their research output spans a total of more than 400 publications, with significant focus placed on specialized subfields.

The scientist's primary subfields include artificial intelligence, atomic and molecular physics and optics, statistical and nonlinear physics, computational mechanics, and computer vision and pattern recognition. Their main topics of work involve model reduction and neural networks, Markov chains and Monte Carlo methods, advanced numerical methods in computational mathematics, neural networks and applications, quantum many-body systems, quantum computing algorithms and architecture, as well as topological materials and phenomena.

Frequent collaboration partners include the following researchers:

  • Yingzhou Li
  • Ziang Chen
  • Yulong Lu
  • Jing Ding
  • Qin Li

Jianfeng Lu has published extensively in several academic venues, particularly in:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Solar Energy Materials and Solar Cells
  • Journal of Chemical Theory and Computation
  • Multiscale Modeling and Simulation

Notable recent papers authored or co-authored by Jianfeng Lu include:

  • Printing strategies for scaling-up perovskite solar cells, 2021, National Science Review
  • A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions, 2020, arXiv (Cornell University)
  • Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach, 2020, Journal of Computational Physics
  • Ab-initio molecular dynamics study on thermal property of NaCl-CaCl2 molten salt for high-temperature heat transfer and storage, 2020, Renewable Energy
  • Deep Network Approximation for Smooth Functions, 2021, SIAM Journal on Mathematical Analysis

Best Publications

  • Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool

    Ingrid Daubechies;Jianfeng Lu;Hau Tieng Wu

  • Solving parametric PDE problems with artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Markov State Models Based on Milestoning

    Christof Schütte;Frank Noé;Jianfeng Lu;Marco Sarich

  • Deep Network Approximation for Smooth Functions

    Jianfeng Lu;Zuowei Shen;Haizhao Yang;Shijun Zhang

  • Solving for high-dimensional committor functions using artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation

    Lin Lin;Jianfeng Lu;Lexing Ying;Weinan E

  • Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

    Lin Lin;Jianfeng Lu;Lexing Ying;Roberto Car

  • SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

    Lin Lin;Chao Yang;Juan C. Meza;Jianfeng Lu

  • ELSI: A Unified Software Interface for Kohn-Sham Electronic Structure Solvers

    Victor Wen-zhe Yu;Fabiano Corsetti;Alberto García;William P. Huhn

  • Fast construction of hierarchical matrix representation from matrix-vector multiplication

    Lin Lin;Jianfeng Lu;Lexing Ying

  • A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions

    Yulong Lu;Jianfeng Lu

  • Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost

    Jianfeng Lu;Lexing Ying

  • Nonexistence of a Minimizer for Thomas–Fermi–Dirac–von Weizsäcker Model

    Jianfeng Lu;Felix Otto

  • A Variational Perspective on Cloaking by Anomalous Localized Resonance

    Robert V. Kohn;Jianfeng Lu;Ben Schweizer;Michael I. Weinstein

  • Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach

    Jiequn Han;Jianfeng Lu;Mo Zhou

  • Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods

    Akihiko Nishimura;David B Dunson;Jianfeng Lu

  • Pole-Based approximation of the Fermi-Dirac function

    Lin Lin;Jianfeng Lu;Lexing Ying;E. Weinan

  • Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime

    Jianfeng Lu;Yulong Lu;James Nolen

  • Frozen Gaussian approximation for high frequency wave propagation

    Jianfeng Lu;Xu Yang

  • A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations

    Lin Lin;Chao Yang;Jianfeng Lu;Lexing Ying

  • A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth

    Yiping Lu;Chao Ma;Yulong Lu;Jianfeng Lu

Frequent Co-Authors

Lin Lin
Lin Lin University of California, Berkeley
Lexing Ying
Lexing Ying Stanford University
Weinan E
Weinan E Princeton University
Jian-Guo Liu
Jian-Guo Liu Duke University
Eric Vanden-Eijnden
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences
Stephen J. Wright
Stephen J. Wright University of Wisconsin–Madison
Ingrid Daubechies
Ingrid Daubechies Duke University
Michael I. Weinstein
Michael I. Weinstein Columbia University
David B. Dunson
David B. Dunson Duke University
Weitao Yang
Weitao Yang Duke University

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