Publications

Reduced order modeling of parametrized pulsatile blood flows: Hematocrit percentage and heart rate

C. Farias; C. Bayona-Roa; E. Castillo; R. C. Cabrales; R. Reyes 

High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography

Z. Zhang; J. Duan; H. Tang 

Adaptive Symplectic Model Order Reduction Of Parametric Particle-Based Vlasov-Poisson Equation

J. S. Hesthaven; C. Pagliantini; N. Ripamonti 

Localized model order reduction and domain decomposition methods for coupled heterogeneous systems

N. Discacciati; J. S. S. Hesthaven 

A new variable shape parameter strategy for RBF approximation using neural networks

F. N. Mojarrad; M. H. Veiga; J. S. Hesthaven; P. oeffner 

ReLU Neural Network Galerkin BEM

R. Aylwin; F. Henriquez; C. Schwab 

Reduced order modeling for parametrized generalized Newtonian fluid flows

R. Reyes; O. Ruz; C. Bayona-Roa; E. Castillo; A. Tello 

An artificial neural network approach to bifurcating phenomena in computational fluid dynamics

F. Pichi; F. Ballarin; G. Rozza; J. S. Hesthaven 

Reduced order models for coupled systems

Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks

M. Kast; J. S. Hesthaven 

Model order reduction for compressible flows solved using the discontinuous Galerkin methods

J. Yu; J. S. Hesthaven 

A data-driven shock capturing approach for discontinuous Galekin methods

J. Yu; J. S. Hesthaven; C. Yan 

Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

J. Yu; D. Ray; J. S. Hesthaven 

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

H. Sampedro Llopis; A. P. Engsig-Karup; C-H. Jeong; F. Pind; J. S. Hesthaven 

Discovery of Slow Variables in a Class Of Multiscale Stochastic Systems Via Neural Networks

P. Zielinski; J. S. Hesthaven 

Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction

F. Pichi; M. Strazzullo; F. Ballarin; G. Rozza 

Model order reduction for bifurcating phenomena in fluid-structure interaction problems

M. Khamlich; F. Pichi; G. Rozza 

Preface to the Focused Issue on WENO Schemes

S. Gottlieb; J. S. Hesthaven; J. Qiu; C-W. Shu; Q. Zhang et al. 

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

J. Duan; H. Tang 

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics

J. Duan; H. Tang 

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

J. S. Hesthaven; C. Pagliantini; N. Ripamonti 

Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities

M. Guo; A. Manzoni; M. Amendt; P. Conti; J. S. Hesthaven 

A hierarchical preconditioner for wave problems in quasilinear complexity

B. Bonev; J. S. Hesthaven 

Structure-preserving approaches and data-driven closure modeling for model order reduction

Population pharmacokinetic model selection assisted by machine learning

E. Sibieude; A. Khandelwal; P. Girard; J. S. Hesthaven; N. Terranova 

Preface to Focused Issue on Discontinuous Galerkin Methods PREFACE

J. S. Hesthaven; J. Ryan; C-W. Shu; J. van der Vegt; Y. Xu et al. 

Logarithmic Gradient Transformation and Chaos Expansion of Ito Processes

M. H. Gorji 

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

W. Chen; Q. Wang; J. S. Hesthaven; C. Zhang 

Structure-Preserving Reduced Basis Methods For Poisson Systems

J. S. Hesthaven; C. Pagliantini 

Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

Z. Gao; Q. Liu; J. S. Hesthaven; B-S. Wang; W. S. Don et al. 

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Q. Zhang; J. S. Hesthaven; Z-z. Sun; Y. Ren 

Fast screening of covariates in population models empowered by machine learning

E. Sibieude; A. Khandelwal; J. S. Hesthaven; P. Girard; N. Terranova 

Modeling synchronization in globally coupled oscillatory systems using model order reduction

N. Discacciati; J. S. Hesthaven 

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks

L. Schwander; D. Ray; J. S. Hesthaven 

Entropic Fokker-Planck kinetic model

M. H. Gorji; M. Torrilhon 

A phenomenological extended-reaction boundary model for time-domain wave-based acoustic simulations under sparse reflection conditions using a wave splitting method

F. Pind; C-H. Jeong; J. S. Hesthaven; A. P. Engsig-Karup; J. Stromann-Andersen 

Efficient algorithms for wave problems

Hybrid high-resolution RBF-ENO method

J. S. Hesthaven; F. Mönkeberg 

Coupling kinetic and continuum using data-driven maximum entropy distribution

M. Sadr; Q. Wang; H. Gorji 

Fokker-Planck-Poisson kinetics: Multi-phase flow beyond equilibrium

M. Sadr; M. Pfeiffer; H. Gorji 

Dynamical Reduced Basis Methods for Hamiltonian Systems

C. Pagliantini 

A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

S. Yeganeh; R. Mokhtari; J. S. Hesthaven 

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

L. Zhao; W. Deng; J. S. Hesthaven 

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

F. Pind; C-H. Jeong; A. P. Engsig-Karup; J. S. Hesthaven; J. Stromann-Andersen 

Controlling oscillations in spectral schemes using Artificial Neural Networks

L. Schwander 

Massive parallel nodal discontinuous Galerkin finite element method simulator for room acoustics

A. Melander; E. Strøm; F. Pind; A. Engsig-Karup; C-H. Jeong et al. 

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

I. Mekkaoui; J. Pousin; J. Hesthaven; J-R. Li 

Systematic sensor placement for structural anomaly detection in the absence of damaged states

C. Bigoni; Z. Zhang; J. S. Hesthaven 

Conservative Model Order Reduction for Fluid Flow

B. Maboudi Afkham; N. Ripamonti; Q. Wang; J. S. Hesthaven 

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

W. Chen; Q. Wang; J. S. Hesthaven; C. Zhang 

Rare event simulation for large-scale structures with local nonlinearities

Z. Zhang; J. S. Hesthaven 

An edge detector based on artificial neural network with application to hybrid Compact-WENO finite difference schemes

X. Wan; W-S. Don; Z. Gao; J. S. Hesthaven 

A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems

M. Kast; M. Guo; J. S. Hesthaven 

Constraint-aware neural networks for Riemann problems

J. Magiera; D. Ray; J. S. Hesthaven; C. Rohde 

Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

N. Discacciati; J. S. Hesthaven; D. Ray 

Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

C. Bigoni; J. S. Hesthaven 

A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

J. Yu; J. S. Hesthaven 

Nature of Crack Path Instabilities in Thin Sheets Cut by Blunt Objects

E. Hamm; I. Sivak; B. Roman 

Two-Dimensional RBF-ENO Method on Unstructured Grids

J. S. Hesthaven; F. Monkeberg 

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

W. Hao; J. Hesthaven; G. Lin; B. Zheng 

A p-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids

W. Li; Q. Wang; Y-X. Ren 

Numerical methods for structural anomaly detection using model order reduction and data-driven techniques

High-order essentially nonoscillatory methods based on radial basis functions

STeCC: Smart Testing with Contact Counting Enhances Covid-19 Mitigation by Bluetooth App Based Contact Tracing

H. Gorji; M. Arnoldini; D. Jenny; W. Hardt; P. Jenny 

Gaussian Process Regression for Maximum Entropy Distribution

M. Sadr; M. Torrilhon; H. Gorji 

Effective diffusion tensor measured by diffusion MRI of moving and deforming domains

I. Mekkaoui; J. Pousin; J. S. Hesthaven; J-R. Li 

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

K. Shukla; J. M. Carcione; J. S. Hesthaven; E. L’heureux 

Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

Q. Wang; N. Ripamonti; J. S. Hesthaven 

RBF Based CWENO Method

J. S. Hesthaven; F. Mönkeberg; S. Zaninelli 

Non-intrusive reduced-order modeling for fluid problems: A brief review

J. Yu; C. Yan; M. Guo 

Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil

Y-S. Zhang; Y-X. Ren; Q. Wang 

Modeling extended-reaction boundary conditions in time-domain wave-based simulations of room acoustics

F. Pind; C-H. Jeong; J. S. Hesthaven; A. Engsig-Karup; J. Stromann-Andersen 

Model order reduction for large-scale structures with local nonlinearities

Z. Zhang; M. Guo; J. S. Hesthaven 

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

M. Hajihassanpour; B. Bonev; J. S. Hesthaven 

Controlling the bias error of Fokker- Planck methods for rarefied gas dynamics simulations

P. Jenny; S. Kuchlin; H. Gorji 

Particle number control for direct simulation Monte-Carlo methodology using kernel estimates

H. Gorji; S. Kuchlin; P. Jenny 

Time domain room acoustic simulations using the spectral element method

F. Pind; A. P. Engsig-Karup; C-H. Jeong; J. S. Hesthaven; M. S. Mejling et al. 

MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems

J. Magiera; D. Ray; J. S. Hesthaven; C. Rohde 

MATHICSE Technical Report: Time domain room acoustic simulations using a spectral element method

F. Pind; A. P. Engsig-Karup; C-H. Jeong; J. S. Hesthaven; M. S. Meiling et al. 

MATHICSE Technical Report: Simulation-Based Anomaly Detection and Damage Localization: an Application to Structural Health Monitoring

C. Bigoni; J. S. Hesthaven 

MATHICSE Technical Report: A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems

M. Kast; M. Guo; J. S. Hesthaven 

MATHICSE Technical Report: Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial\ viscosity tuned by neural networks

N. Discacciati; J. S. Hesthaven; D. Ray 

Gaussian Process Regression for Maximum Entropy Distribution

M. Sadr; M. Torrilhon; H. Gorji 

Comparative study between Cubic and Ellipsoidal Fokker-Planck kinetic models

E. Jun; M. Pfeiffer; L. Mieussens; M. Gorji 

Accurate particle time integration for solving Vlasov-Fokker-Planck equations with specified electromagnetic fields

P. Jenny; M. Gorji 

A Minimally Intrusive Low-Memory Approach to Resilience for Existing Transient Solvers

C. D. Cantwell; A. S. Nielsen 

Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids

M. Sadr; M. Gorji 

Entropy stable essentially non-oscillatory methods based on RBF reconstructions

J. S. Hesthaven; F. Mönkeberg 

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

K. Shukla; J. S. Hesthaven; J. M. Carcione; R. Ye; J. de la Puenta et al. 

Estimation of groundwater storage from seismic data using deep learning

T. Lahivaara; A. Pasanen; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven et al. 

Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers

A. Karakus; N. Chalmers; J. S. Hesthaven; T. Warburton 

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

B. Maboudi Afkham; J. S. Hesthaven 

Projective multiscale time-integration for electrostatic particle-in-cell methods

P. Cazeaux; J. S. Hesthaven 

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

D. Ray; J. S. Hesthaven 

Data-driven reduced order modeling for time-dependent problems

M. Guo; J. S. Hesthaven 

Greedy Non-Intrusive Reduced Order Model for Fluid Dynamics

W. Chen; J. S. Hesthaven; B. Junqiang; Y. Qiu; Y. Tihao et al. 

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

Q. Wang; J. S. Hesthaven; D. Ray 

POD-Kriging reduced method’s application in Tandem Cylinders’ flow

W. Chen; B. Junqiang; J. S. Hesthaven; Q. Yasong; Q. Lei et al. 

Controlling oscillations in high-order schemes using neural networks

N. Discacciati 

Scaling and Resilience in Numerical Algorithms for Exascale Computing