Jan S. Hesthaven

Orcid: 0000-0001-8074-1586

Affiliations:
  • EPFL, Lausanne, Switzerland


According to our database1, Jan S. Hesthaven authored at least 101 papers between 1996 and 2024.

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Bibliography

2024
A graph convolutional autoencoder approach to model order reduction for parametrized PDEs.
J. Comput. Phys., March, 2024

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems.
J. Comput. Phys., January, 2024

Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis.
J. Comput. Phys., 2024

Positional embeddings for solving PDEs with evolutional deep neural networks.
J. Comput. Phys., 2024

Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics.
Int. J. High Perform. Comput. Appl., 2024

Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems.
CoRR, 2024

Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains.
CoRR, 2024

GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications.
CoRR, 2024

Neural empirical interpolation method for nonlinear model reduction.
CoRR, 2024

Fast Numerical Approximation of Linear, Second-Order Hyperbolic Problems Using Model Order Reduction and the Laplace Transform.
CoRR, 2024

Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction.
CoRR, 2024

2023
Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation.
Math. Comput., October, 2023

Machine learning enhanced real-time aerodynamic forces prediction based on sparse pressure sensor inputs.
CoRR, 2023

A new variable shape parameter strategy for RBF approximation using neural networks.
Comput. Math. Appl., 2023

2022
Reduced basis methods for time-dependent problems.
Acta Numer., May, 2022

A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity.
SIAM J. Sci. Comput., 2022

Discovery of Slow Variables in a Class Of Multiscale Stochastic Systems Via Neural Networks.
J. Nonlinear Sci., 2022

FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment.
J. Comput. Phys. X, 2022

Model order reduction for compressible flows solved using the discontinuous Galerkin methods.
J. Comput. Phys., 2022

Multi-fidelity surrogate modeling using long short-term memory networks.
CoRR, 2022

2021
Structure-preserving reduced basis methods for Poisson systems.
Math. Comput., 2021

Hybrid high-resolution RBF-ENO method.
J. Comput. Phys. X, 2021

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks.
J. Comput. Phys., 2021

Physics-informed machine learning for reduced-order modeling of nonlinear problems.
J. Comput. Phys., 2021

Structure-preserving model order reduction of Hamiltonian systems.
CoRR, 2021

An artificial neural network approach to bifurcating phenomena in computational fluid dynamics.
CoRR, 2021

Efficient numerical room acoustic simulations with parametrized boundaries using the spectral element and reduced basis method.
CoRR, 2021

Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities.
CoRR, 2021

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation.
Adv. Comput. Math., 2021

2020
An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme.
J. Sci. Comput., 2020

Two-Dimensional RBF-ENO Method on Unstructured Grids.
J. Sci. Comput., 2020

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations.
J. Sci. Comput., 2020

Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism.
J. Comput. Phys., 2020

Constraint-aware neural networks for Riemann problems.
J. Comput. Phys., 2020

Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks.
J. Comput. Phys., 2020

Rank-adaptive structure-preserving reduced basis methods for Hamiltonian systems.
CoRR, 2020

2019
Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems.
J. Sci. Comput., 2019

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem.
J. Comput. Phys., 2019

Detecting troubled-cells on two-dimensional unstructured grids using a neural network.
J. Comput. Phys., 2019

Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers.
J. Comput. Phys., 2019

Projective multiscale time-integration for electrostatic particle-in-cell methods.
Comput. Phys. Commun., 2019

2018
An artificial neural network as a troubled-cell indicator.
J. Comput. Phys., 2018

Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations.
J. Comput. Phys., 2018

Non-intrusive reduced order modeling of nonlinear problems using neural networks.
J. Comput. Phys., 2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction.
J. Comput. Phys., 2018

2017
Structure Preserving Model Reduction of Parametric Hamiltonian Systems.
SIAM J. Sci. Comput., 2017

A Kernel Compression Scheme for Fractional Differential Equations.
SIAM J. Numer. Anal., 2017

Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations.
J. Sci. Comput., 2017

Adaptive WENO Methods Based on Radial Basis Function Reconstruction.
J. Sci. Comput., 2017

High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations.
J. Sci. Comput., 2017

High-Order Accurate Local Schemes for Fractional Differential Equations.
J. Sci. Comput., 2017

2016
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations.
J. Sci. Comput., 2016

Research and Education in Computational Science and Engineering.
CoRR, 2016

Fault Tolerance in the Parareal Method.
Proceedings of the ACM Workshop on Fault-Tolerance for HPC at Extreme Scale, 2016

2015
Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions.
SIAM J. Numer. Anal., 2015

Reduced Basis Multiscale Finite Element Methods for Elliptic Problems.
Multiscale Model. Simul., 2015

Hyperbolic Problems: Theory and Computation.
J. Sci. Comput., 2015

Numerical Approximation of the Fractional Laplacian via hp-finite Elements, with an Application to Image Denoising.
J. Sci. Comput., 2015

A parareal method for time-fractional differential equations.
J. Comput. Phys., 2015

Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes.
J. Comput. Phys., 2015

Special Issue on "Fractional PDEs: Theory, Numerics, and Applications".
J. Comput. Phys., 2015

A multi-domain spectral method for time-fractional differential equations.
J. Comput. Phys., 2015

2014
Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2014

High-Order Multiscale Finite Element Method for Elliptic Problems.
Multiscale Model. Simul., 2014

Stable multi-domain spectral penalty methods for fractional partial differential equations.
J. Comput. Phys., 2014

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials.
J. Comput. Phys., 2014

2013
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws.
J. Comput. Phys., 2013

A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation.
J. Comput. Appl. Math., 2013

Solving Wave Equations on Unstructured Geometries
CoRR, 2013

Fast prediction and evaluation of gravitational waveforms using surrogate models.
CoRR, 2013

2012
Certified Reduced Basis Method for the Electric Field Integral Equation.
SIAM J. Sci. Comput., 2012

A reduced basis method for electromagnetic scattering by multiple particles in three dimensions.
J. Comput. Phys., 2012

High-Order Discontinuous Galerkin Methods by GPU Metaprogramming
CoRR, 2012

2011
A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties.
Math. Comput., 2011

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws.
J. Comput. Phys., 2011

The reduced basis method for the electric field integral equation.
J. Comput. Phys., 2011

2010
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations.
SIAM J. Sci. Comput., 2010

High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers.
J. Comput. Appl. Math., 2010

On ANOVA expansions and strategies for choosing the anchor point.
Appl. Math. Comput., 2010

2009
Nodal discontinuous Galerkin methods on graphics processors.
J. Comput. Phys., 2009

Polymorphic nodal elements and their application in discontinuous Galerkin methods.
J. Comput. Phys., 2009

High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings.
J. Comput. Appl. Math., 2009

Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning.
Comput. Phys. Commun., 2009

2008
Filtering in Legendre spectral methods.
Math. Comput., 2008

2007
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes.
J. Comput. Phys., 2007

2006
Computational Modeling of Uncertainty in Time-Domain Electromagnetics.
SIAM J. Sci. Comput., 2006

Padé-Legendre Interpolants for Gibbs Reconstruction.
J. Sci. Comput., 2006

Foreword.
J. Sci. Comput., 2006

Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions.
J. Sci. Comput., 2006

Idempotent filtering in spectral and spectral element methods.
J. Comput. Phys., 2006

High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids.
J. Comput. Phys., 2006

2005
High-Order Collocation Methods for Differential Equations with Random Inputs.
SIAM J. Sci. Comput., 2005

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs.
SIAM J. Numer. Anal., 2005

Foreword.
J. Sci. Comput., 2005

2002
Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media.
IEEE Trans. Geosci. Remote. Sens., 2002

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics.
J. Sci. Comput., 2002

2001
Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems.
J. Sci. Comput., 2001

2000
Stable Spectral Methods on Tetrahedral Elements.
SIAM J. Sci. Comput., 2000

1998
A Stable Penalty Method for the Compressible Navier-Stokes Equations: III. Multidimensional Domain Decomposition Schemes.
SIAM J. Sci. Comput., 1998

1997
A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes.
SIAM J. Sci. Comput., 1997

1996
A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions.
SIAM J. Sci. Comput., 1996


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