World's Best Scientists 2026 revealed!
Christoph Schwab

Christoph Schwab

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Mathematics
Switzerland
2026

D-Index & Metrics

Mathematics

D-Index
90
Citations
23948
World Ranking
73
National Ranking
2

Christoph Schwab 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 Christoph Schwab 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: 82 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: 498 publications — 97th percentile

97% of scientists in this discipline score the same or lower.

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

Christoph Schwab 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 Christoph Schwab 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: 137 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: 90 D-Index — 98th percentile

98% 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

  • 2026 - Research.com Mathematics in Switzerland Leader Award
  • 2025 - Research.com Mathematics in Switzerland Leader Award
  • 2022 - Research.com Mathematics in Switzerland Leader Award
  • 2016 - SIAM Fellow For contributions to the theory and computational methods for partial differential equations.

Overview

Christoph Schwab is affiliated with ETH Zurich in Switzerland and has made contributions primarily in the fields of Engineering and Mathematics. Their work encompasses various subfields, including Computational Theory and Mathematics, Computational Mechanics, Numerical Analysis, Statistics, Probability and Uncertainty, and Statistical and Nonlinear Physics.

The scientist's research centers around several core topics:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Probabilistic and Robust Engineering Design
  • Model Reduction and Neural Networks
  • Mathematical Approximation and Integration
  • Numerical methods in inverse problems
  • Numerical methods in engineering

Christoph Schwab has published in multiple frequent venues, which include:

  • arXiv (Cornell University)
  • SIAM/ASA Journal on Uncertainty Quantification
  • Repository for Publications and Research Data (ETH Zurich)
  • IMA Journal of Numerical Analysis
  • Spektrum der Augenheilkunde

Their notable recent papers include:

  • "DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing," 2021, published in Constructive Approximation
  • "Convergence rates of high dimensional Smolyak quadrature," 2020, published in ESAIM Mathematical Modelling and Numerical Analysis
  • "DeepCME: A deep learning framework for computing solution statistics of the chemical master equation," 2021, published in PLoS Computational Biology
  • "Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations," 2022, published in Analysis and Applications
  • "Deep neural network expression of posterior expectations in Bayesian PDE inversion," 2020, published in Inverse Problems

Frequent co-authors in Christoph Schwab's work include:

  • Jakob Zech
  • Carlo Marcati
  • Joost A. A. Opschoor
  • Ðinh Dũng
  • Van Kien Nguyen

Christoph Schwab has authored books published by Springer Nature and ETH Zurich, with titles such as:

  • "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018" (2020)
  • "Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs" (2023)
  • "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018: Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018" (2020)

The scientist received the SIAM Fellow award in 2016 for contributions to the theory and computational methods for partial differential equations.

Best Publications

  • P- and hp- finite element methods : theory and applications in solid and fluid mechanics

    Ch. Schwab

  • Boundary Element Methods

    Stefan A. Sauter;Christoph Schwab

  • Discontinuous hp -Finite Element Methods for Advection-Diffusion-Reaction Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • Karhunen-Loève approximation of random fields by generalized fast multipole methods

    Christoph Schwab;Radu Alexandru Todor

  • Finite elements for elliptic problems with stochastic coefficients

    Philipp Frauenfelder;Christoph Schwab;Radu Alexandru Todor

  • Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

    Andrea Barth;Christoph Schwab;Nathaniel Zollinger

  • ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

    Albert Cohen;Ronald Devore;Christoph Schwab

  • Convergence Rates of Best N -term Galerkin Approximations for a Class of Elliptic sPDEs

    Albert Cohen;Ronald DeVore;Christoph Schwab

  • Local Discontinuous Galerkin Methods for the Stokes System

    Bernardo Cockburn;Guido Kanschat;Dominik Schötzau;Christoph Schwab

  • Optimal a priori error estimates for the hp -version of the local discontinuous Galerkin method for convection-diffusion problems

    Paul Castillo;Bernardo Cockburn;Dominik Schötzau;Christoph Schwab

  • Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs

    Christoph Schwab;Claude Jeffrey Gittelson

  • Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients

    Radu Alexandru Todor;Christoph Schwab

  • Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

    Frances Y. Kuo;Christoph Schwab;Ian H. Sloan

  • Space-time adaptive wavelet methods for parabolic evolution problems

    Christoph Schwab;Rob P. Stevenson

  • Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method

    Dominik Schötzau;Christoph Schwab

  • Fast deterministic pricing of options on Lévy driven assets

    Ana-Maria Matache;Tobias von Petersdorff;Christoph Schwab

  • High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs

    Abdellah Chkifa;Albert Cohen;Christoph Schwab

  • Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

    Boris N. Khoromskij;Christoph Schwab

  • Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs

    Abdellah Chkifa;Albert Cohen;Christoph Schwab

  • Stabilized hp -Finite Element Methods for First-Order Hyperbolic Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • Multi-level Monte Carlo finite element method for elliptic PDE's with stochastic coefficients

    Andrea Barth;Christoph Schwab;Nathaniel Zollinger

Frequent Co-Authors

Dominik Schötzau
Dominik Schötzau University of British Columbia
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Josef Dick
Josef Dick University of New South Wales
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Ian H. Sloan
Ian H. Sloan University of New South Wales
Ralf Hiptmair
Ralf Hiptmair ETH Zurich
Endre Süli
Endre Süli University of Oxford
Rob Stevenson
Rob Stevenson University of Amsterdam
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart

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