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Mathematics
Switzerland
2022

D-Index & Metrics

Mathematics

D-Index
72
Citations
24129
World Ranking
242
National Ranking
13

Engineering and Technology

D-Index
72
Citations
24389
World Ranking
897
National Ranking
23

Research.com Recognitions

  • 2022 - Research.com Mathematics in Switzerland Leader Award
  • 2014 - SIAM Fellow For advances in high-order numerical methods for partial differential equations and applications.
  • 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Jan S. Hesthaven is affiliated with the Karlsruhe Institute of Technology in Germany. Their research spans across multiple disciplines within engineering and physics, with a particular focus on computational methods and numerical analysis.

The main fields of study for Jan S. Hesthaven include:

  • Engineering
  • Physics and Astronomy

Their work also covers a range of subfields such as:

  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Numerical Analysis
  • Biomedical Engineering
  • Mechanical Engineering

The primary topics of research engagement include:

  • Model Reduction and Neural Networks
  • Numerical methods for differential equations
  • Fluid Dynamics and Turbulent Flows
  • Advanced Numerical Methods in Computational Mathematics
  • Computational Fluid Dynamics and Aerodynamics
  • Probabilistic and Robust Engineering Design
  • Fluid Dynamics and Vibration Analysis

Recent publications authored or co-authored by Jan S. Hesthaven reflect these research areas and span several high-impact venues. Selected papers include:

  • "Physics-informed machine learning for reduced-order modeling of nonlinear problems," 2021, Journal of Computational Physics
  • "Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism," 2020, Journal of Computational Physics
  • "Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities," 2021, Computer Methods in Applied Mechanics and Engineering
  • "Reduced basis methods for time-dependent problems," 2022, Acta Numerica
  • "Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring," 2020, Computer Methods in Applied Mechanics and Engineering

Research collaborations frequently involve co-authors such as:

  • Nicolò Ripamonti
  • Cecilia Pagliantini
  • Federico Pichi
  • Finnur Pind
  • Allan Peter Engsig-Karup

The scientist has published extensively in journals and repositories including:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • Zenodo (CERN European Organization for Nuclear Research)
  • The Journal of the Acoustical Society of America

Jan S. Hesthaven has been recognized with awards such as:

  • SIAM Fellow, 2014, for advances in high-order numerical methods for partial differential equations and applications
  • Fellow of Alfred P. Sloan Foundation, 2000

Best Publications

  • Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications

    Jan S. Hesthaven;Tim Warburton

  • High-Order Collocation Methods for Differential Equations with Random Inputs

    Dongbin Xiu;Jan S. Hesthaven

  • SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.

    Jan S. Hesthaven;Sigal Gottlieb;David Gottlieb

  • Certified Reduced Basis Methods for Parametrized Partial Differential Equations

    Jan S. Hesthaven;Gianluigi Rozza;Benjamin Stamm

  • Nodal high-order methods on unstructured grids

    J. S. Hesthaven;T. Warburton

  • Non-intrusive reduced order modeling of nonlinear problems using neural networks

    Jan S. Hesthaven;Stefano Ubbiali;Stefano Ubbiali

  • Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations

    Jan S Hesthaven;Anthony T Patera

  • Nodal discontinuous Galerkin methods on graphics processors

    A. Klöckner;T. Warburton;J. Bridge;J. S. Hesthaven

  • Spectral methods for hyperbolic problems

    D. Gottlieb;J. S. Hesthaven

  • From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex

    J. S. Hesthaven

  • On the constants in hp-finite element trace inverse inequalities

    T. Warburton;Jan S. Hesthaven

  • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

    F. X. Giraldo;J. S. Hesthaven;T. Warburton

  • Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

    Qian Wang;Jan S. Hesthaven;Deep Ray

  • Reduced order modeling for nonlinear structural analysis using Gaussian process regression

    Mengwu Guo;Jan S. Hesthaven

  • Data-driven reduced order modeling for time-dependent problems

    Mengwu Guo;Jan S. Hesthaven

  • Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

    Scott E. Field;Chad R. Galley;Jan S. Hesthaven;Jason Kaye

  • Physics-informed machine learning for reduced-order modeling of nonlinear problems

    Wenqian Chen;Wenqian Chen;Qian Wang;Jan S. Hesthaven;Chuhua Zhang

  • High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids

    G. B. Jacobs;J. S. Hesthaven

  • Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

    Alex Kanevsky;Mark H. Carpenter;David Gottlieb;Jan S. Hesthaven

  • On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations

    J.S. Hesthaven

  • Numerical Methods for Conservation Laws: From Analysis to Algorithms

    Jan S. Hesthaven

Frequent Co-Authors

David Gottlieb
David Gottlieb Brown University
Tim Warburton
Tim Warburton Virginia Tech
Yvon Maday
Yvon Maday Sorbonne University
Weihua Deng
Weihua Deng Lanzhou University
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
George Haller
George Haller ETH Zurich
Yan Liang
Yan Liang Brown University
George Em Karniadakis
George Em Karniadakis Brown University
Sergei K. Turitsyn
Sergei K. Turitsyn Aston University
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo

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