World's Best Scientists 2026 revealed!
Christoph Schwab

Christoph Schwab

Award Badge
Mathematics
Switzerland
2026

D-Index & Metrics

Mathematics

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

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens up diverse career opportunities, especially when combined with related fields such as data science, business, and analytics. For those interested in leveraging their mathematical skills in tech-driven environments, exploring top analytics masters programs can be a strategic next step. These programs emphasize data interpretation, predictive modeling, and statistical analysis, all of which are highly valued in industries like finance, healthcare, and technology.

Mathematics graduates considering leadership or management roles might also find value in pursuing an MBA. Many professionals prefer an easiest mba specialization to balance rigorous coursework with career commitments. Selecting an accessible program can facilitate smoother transitions into business environments.

For those seeking flexibility, enrolling in the easiest online mba offers a convenient way to gain crucial business insights without compromising ongoing work or study schedules. Many online MBAs are designed to accommodate busy professionals aiming to expand their leadership skills.

Further career advancement can be achieved by pursuing a Doctor of Business Administration (DBA), especially through a 1 year dba program online. This accelerated pathway is ideal for those wanting to deepen their expertise in business strategy, research, and organizational leadership while maintaining flexibility.

Best Scientists Citing Christoph Schwab

Trending Scientists