World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 51 1008 860 467 373 222 12679
Engineering and Technology 49 4227 4061 1210 1114 227 12619

Lexing Ying publications per year

The chart shows the history of publications by Lexing Ying between 2001 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Lexing Ying published across 25 years, from 2001 to 2025, averaging 12.6 papers a year. Output peaked at 40 publications in 2021. 54 of the 315 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 2001 to 2025. Vertical axis: number of publications, 0 to 40. Peak 40 publications in 2021. 2001: 4 publications 2002: 2 publications 2003: 1 publication 2004: 4 publications 2005: 1 publication 2006: 5 publications 2007: 6 publications 2008: 1 publication 2009: 11 publications 2010: 6 publications 2011: 15 publications 2012: 18 publications 2013: 12 publications 2014: 8 publications 2015: 13 publications 2016: 11 publications 2017: 9 publications 2018: 3 publications 2019: 19 publications 2020: 22 publications 2021: 40 publications 2022: 27 publications 2023: 23 publications 2024: 32 publications 2025: 22 publications
2001 2025

315 publications in total across all disciplines

View publications per year as a table
Lexing Ying: publications per year, 2001 to 2025
Year Publications
2001 4
2002 2
2003 1
2004 4
2005 1
2006 5
2007 6
2008 1
2009 11
2010 6
2011 15
2012 18
2013 12
2014 8
2015 13
2016 11
2017 9
2018 3
2019 19
2020 22
2021 40
2022 27
2023 23
2024 32
2025 22
Total 315
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Lexing Ying 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 Lexing Ying sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 222–226 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 222 publications — 70th percentile

70% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53 222
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Lexing Ying 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 Lexing Ying sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 51 D-Index, is where this scientist sits. 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: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57 51
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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Research.com Recognitions

  • 2007 - Fellow of Alfred P. Sloan Foundation

Overview

Lexing Ying is affiliated with Stanford University in the United States. Their research spans diverse areas within computer science and mathematics, reflecting extensive contributions to both theoretical and applied computational methods.

Their main fields of study include:

  • Computer Science
  • Mathematics

Ying's work further focuses on several subfields, such as:

  • Artificial Intelligence
  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Statistics and Probability

The major topics covered in their research include:

  • Model Reduction and Neural Networks
  • Quantum Computing Algorithms and Architecture
  • Sparse and Compressive Sensing Techniques
  • Quantum Information and Cryptography
  • Numerical methods in inverse problems
  • Markov Chains and Monte Carlo Methods
  • Matrix Theory and Algorithms

Lexing Ying has published extensively, with frequent appearances in the following venues:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Communications in Mathematical Sciences
  • Research in the Mathematical Sciences
  • Journal of Scientific Computing

Some of their recent papers include:

  • A Simple Solver for the Fractional Laplacian in Multiple Dimensions, 2020, SIAM Journal on Scientific Computing
  • On low-depth algorithms for quantum phase estimation, 2023, Quantum
  • Meta-learning pseudo-differential operators with deep neural networks, 2020, Journal of Computational Physics
  • An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime, 2021, SIAM Journal on Scientific Computing
  • A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth, 2020, arXiv (Cornell University)

Collaborations are a notable aspect of Lexing Ying's academic activity. Frequent co-authors include:

  • Haoya Li
  • Hongkang Ni
  • Yinuo Ren
  • Yuehaw Khoo
  • Yuwei Fan

In 2007, Lexing Ying was recognized as a Fellow of the Alfred P. Sloan Foundation.

Best Publications

  • Fast Discrete Curvelet Transforms

    Emmanuel J. Candès;Laurent Demanet;David L. Donoho;Lexing Ying

  • A kernel-independent adaptive fast multipole algorithm in two and three dimensions

    Lexing Ying;George Biros;Denis Zorin

  • Seismic wave extrapolation using lowrank symbol approximation

    Sergey B Fomel;Lexing Ying;Xiaolei Song

  • Wave atoms and sparsity of oscillatory patterns

    Laurent Demanet;Lexing Ying

  • A massively parallel adaptive fast multipole method on heterogeneous architectures

    Ilya Lashuk;Aparna Chandramowlishwaran;Harper Langston;Tuan-Anh Nguyen

  • Solving parametric PDE problems with artificial neural networks

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

    Björn Engquist;Lexing Ying

  • Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation

    Björn Engquist;Lexing Ying

  • 3D discrete curvelet transform

    Lexing Ying;Laurent Demanet;Emmanuel Candes

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

    Yuehaw Khoo;Jianfeng Lu;Lexing Ying

  • Texture and Shape Synthesis on Surfaces

    Lexing Ying;Aaron Hertzmann;Henning Biermann;Denis Zorin

  • 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 Directional Multilevel Algorithms for Oscillatory Kernels

    Björn Engquist;Lexing Ying

  • A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators

    Emmanuel J. Candès;Laurent Demanet;Lexing Ying

  • A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

    Lexing Ying;George Biros;Denis Zorin

  • A simple manifold-based construction of surfaces of arbitrary smoothness

    Lexing Ying;Denis Zorin

  • 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

  • SwitchNet: A Neural Network Model for Forward and Inverse Scattering Problems

    Yuehaw Khoo;Lexing Ying

  • Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations

    Kenneth L. Ho;Lexing Ying

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

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

  • A New Parallel Kernel-Independent Fast Multipole Method

    Lexing Ying;George Biros;Denis Zorin;Harper Langston

  • Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation

    Xiaolei Song;Sergey Fomel;Lexing Ying

Frequent Co-Authors

Lin Lin
Lin Lin University of California, Berkeley
Jianfeng Lu
Jianfeng Lu Duke University
Björn Engquist
Björn Engquist The University of Texas at Austin
Sergey Fomel
Sergey Fomel The University of Texas at Austin
Denis Zorin
Denis Zorin New York University
George Biros
George Biros The University of Texas at Austin
Emmanuel J. Candès
Emmanuel J. Candès Stanford University
Weinan E
Weinan E Princeton University
Jianliang Qian
Jianliang Qian Michigan State University

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