World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
68
Citations
18931
World Ranking
311
National Ranking
173

Engineering and Technology

D-Index
69
Citations
19416
World Ranking
1123
National Ranking
377

Jinchao Xu 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 Jinchao Xu 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: 294 publications — 85th percentile

85% of scientists in this discipline score the same or lower.

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

Jinchao Xu 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 Jinchao Xu 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: 68 D-Index — 92nd percentile

92% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2019 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society
  • 2011 - SIAM Fellow For contributions to the theory and applications of multilevel and adaptive numerical methods.

Overview

Jinchao Xu is a researcher affiliated with Pennsylvania State University in the United States. Their work spans multiple areas within computer science and engineering, with significant contributions to artificial intelligence and computational mechanics.

Their recent publications include diverse topics ranging from applied computational methods to theoretical aspects of neural networks. Notable recent papers are:

  • Flexible sensing enabled packaging performance optimization system (FS-PPOS) for lamb loss reduction control in E-commerce supply chain, 2022, Food Control
  • Finite Neuron Method and Convergence Analysis, 2020, Communications in Computational Physics

Jinchao Xu collaborates frequently with several other researchers. Key co-authors include Qingguo Hong, Jonathan W. Siegel, Juncai He, Limin Ma, and Long-Qing Chen.

The main fields of study for this researcher are:

  • Computer Science
  • Engineering

Within these broad areas, specific subfields where they focus their research are:

  • Artificial Intelligence
  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Electrical and Electronic Engineering
  • Numerical Analysis

Their publications often appear in the following venues, indicating active engagement with the scientific community across multiple platforms:

  • arXiv (Cornell University)
  • SSRN Electronic Journal
  • Communications in Computational Physics
  • Journal of Computational Physics
  • Mathematics of Computation

Their research covers numerous main topics, reflecting an intersection of theoretical and applied science:

  • Neural Networks and Applications
  • Advanced Numerical Methods in Computational Mathematics
  • Model Reduction and Neural Networks
  • Stochastic Gradient Optimization Techniques
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods for differential equations
  • Numerical methods in engineering

Awards recognizing their contributions include:

  • Fellow of the American Association for the Advancement of Science (AAAS), 2019
  • Fellow of the American Mathematical Society, 2013
  • SIAM Fellow, 2011, for contributions to the theory and applications of multilevel and adaptive numerical methods

Best Publications

  • Iterative methods by space decomposition and subspace correction

    Jinchao Xu

  • Parallel multilevel preconditioners

    James H. Bramble;Joseph E. Pasciak;Jinchao Xu

  • Two-grid Discretization Techniques for Linear and Nonlinear PDEs

    Jinchao Xu

  • A novel two-grid method for semilinear elliptic equations

    Jinchao Xu

  • Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces

    Ralf Hiptmair;Jinchao Xu

  • Convergence estimates for multigrid algorithms without regularity assumptions

    James H. Bramble;Joseph E. Pasciak;Jun Ping Wang;Jinchao Xu

  • Convergence estimates for product iterative methods with applications to domain decomposition

    James H. Bramble;Joseph E. Pasciak;Jun Ping Wang;Jinchao Xu

  • A monotone finite element scheme for convection-diffusion equations

    Jinchao Xu;Ludmil Zikatanov

  • The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms

    James H. Bramble;Joseph E. Pasciak;Jinchao Xu

  • Some Estimates for a Weighted L 2 Projection

    James H. Bramble;Jinchao Xu

  • A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow

    Mo Mu;Jinchao Xu

  • Some Nonoverlapping Domain Decomposition Methods

    Jinchao Xu;Jun Zou

  • The method of alternating projections and the method of subspace corrections in Hilbert space

    Jinchao Xu;Ludmil Zikatanov

  • A two-grid discretization scheme for eigenvalue problems

    Jinchao Xu;Aihui Zhou

  • Some observations on Babu s}ka and Brezzi theories

    Jinchao Xu;Ludmil Tomov Zikatanov

  • Local and parallel finite element algorithms based on two-grid discretizations

    Jinchao Xu;Aihui Zhou

  • Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

    Randolph E. Bank;Jinchao Xu

  • ReLU Deep Neural Networks and Linear Finite Elements

    Juncai He;Lin Li;Jinchao Xu;Chunyue Zheng

  • The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids

    Jinchao Xu

  • Algebraic multigrid methods

    Jinchao Xu;Ludmil T. Zikatanov

  • Analysis of recovery type a posteriori error estimators for mildly structured grids

    Jinchao Xu;Zhimin Zhang

Frequent Co-Authors

James H. Bramble
James H. Bramble Texas A&M University
Michael Holst
Michael Holst University of California, San Diego
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
Russell T. Johns
Russell T. Johns Pennsylvania State University
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Ralf Hiptmair
Ralf Hiptmair ETH Zurich
Chao-Yang Wang
Chao-Yang Wang Pennsylvania State University
Ricardo H. Nochetto
Ricardo H. Nochetto University of Maryland, College Park
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Panayot S. Vassilevski
Panayot S. Vassilevski Lawrence Livermore National Laboratory

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