List of works - Jan S. Hesthaven

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations ⬇️

scholarly article

A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction

A comparative study of earthquake source models in high-order accurate tsunami simulations

scholarly article

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

An artificial neural network as a troubled-cell indicator

scholarly article published in August 2018

Apparent diffusion coefficient measured by diffusion MRI of moving and deforming domains

scientific article published on 13 August 2020

Artificial neural network for bifurcating phenomena modelled by nonlinear parametrized PDEs

scientific article published in 2021

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

scholarly article published 2016

Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations

scholarly article published in October 2018

DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations

Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography

scientific article published in February 2018

Detecting troubled-cells on two-dimensional unstructured grids using a neural network

scholarly article

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

scholarly article published in June 2018

Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

scholarly article

Estimation of groundwater storage from seismic data using deep learning

Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

scientific article published on 14 July 2014

Fast screening of covariates in population models empowered by machine learning

scientific article published on 21 May 2021

Flowfield Reconstruction Method Using Artificial Neural Network

scholarly article

High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite

scholarly article

Model order reduction for large-scale structures with local nonlinearities

scholarly article

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

scholarly article published in February 2024

Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

article

Modeling Magma Dynamics with a Mixed Fourier Collocation — Discontinuous Galerkin Method

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

scholarly article

Numerical simulations with a first-order BSSN formulation of Einstein’s field equations

scholarly article

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

article

POD-Kriging Reduced Method's Application in Tandem Cylinders' Flow

scholarly article

Predicting transport by Lagrangian coherent structures with a high-order method

article

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

scientific article published in 2022

Reduced basis catalogs for gravitational wave templates

scientific article published on 02 June 2011

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

scientific article published in 2022

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

scholarly article

Sparse identification of a predator-prey system from simulation data of a convection model

scholarly article by Magnus Dam et al published February 2017 in Physics of Plasmas

Time domain room acoustic simulations using the spectral element method

scientific article published on 01 June 2019

Time-domain room acoustic simulations with extended-reacting porous absorbers using the discontinuous Galerkin method

scientific article published on 01 November 2020

Two-Dimensional RBF-ENO Method on Unstructured Grids

scientific article published on 11 March 2020

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

scientific article published on 01 May 2020

List of works by Jan S. Hesthaven

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations ⬇️

A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction

A comparative study of earthquake source models in high-order accurate tsunami simulations

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

An artificial neural network as a troubled-cell indicator

Apparent diffusion coefficient measured by diffusion MRI of moving and deforming domains

Artificial neural network for bifurcating phenomena modelled by nonlinear parametrized PDEs

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations

DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations

Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography

Detecting troubled-cells on two-dimensional unstructured grids using a neural network

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

Estimation of groundwater storage from seismic data using deep learning

Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

Fast screening of covariates in population models empowered by machine learning

Flowfield Reconstruction Method Using Artificial Neural Network

High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite

Model order reduction for large-scale structures with local nonlinearities

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

Modeling Magma Dynamics with a Mixed Fourier Collocation — Discontinuous Galerkin Method

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

Numerical simulations with a first-order BSSN formulation of Einstein’s field equations

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

POD-Kriging Reduced Method's Application in Tandem Cylinders' Flow

Predicting transport by Lagrangian coherent structures with a high-order method

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Reduced basis catalogs for gravitational wave templates

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

Sparse identification of a predator-prey system from simulation data of a convection model

Time domain room acoustic simulations using the spectral element method

Time-domain room acoustic simulations with extended-reacting porous absorbers using the discontinuous Galerkin method

Two-Dimensional RBF-ENO Method on Unstructured Grids

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method