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Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis

M. Sutti; J. S. Hesthaven

Journal Of Computational Physics. 2024-07-15. Vol. 509, p. 113047. DOI : 10.1016/j.jcp.2024.113047.

Recent manuscripts

Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis

Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks

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

A graph convolutional autoencoder approach to model order reduction for parametrized PDEs

Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

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

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

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

ReLU Neural Network Galerkin BEM

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

An adaptive moving mesh finite difference scheme for tokamak magneto-hydrodynamic simulations

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

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

Reduced order models for coupled systems

Reduced order modeling for parametrized generalized Newtonian fluid flows

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

A data-driven shock capturing approach for discontinuous Galekin methods

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

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

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

Preface to the Focused Issue on WENO Schemes

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

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

A hierarchical preconditioner for wave problems in quasilinear complexity

High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state

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

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

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

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

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

Population pharmacokinetic model selection assisted by machine learning

Preface to Focused Issue on Discontinuous Galerkin Methods PREFACE

Logarithmic Gradient Transformation and Chaos Expansion of Ito Processes

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

Structure-Preserving Reduced Basis Methods For Poisson Systems

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

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

Fast screening of covariates in population models empowered by machine learning

Modeling synchronization in globally coupled oscillatory systems using model order reduction

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

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

Efficient algorithms for wave problems

Entropic Fokker-Planck kinetic model

Hybrid high-resolution RBF-ENO method

Coupling kinetic and continuum using data-driven maximum entropy distribution

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

Dynamical Reduced Basis Methods for Hamiltonian Systems

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

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

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

Controlling oscillations in spectral schemes using Artificial Neural Networks

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

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

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

Conservative Model Order Reduction for Fluid Flow

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

Rare event simulation for large-scale structures with local nonlinearities

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

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

Constraint-aware neural networks for Riemann problems

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

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

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

Two-Dimensional RBF-ENO Method on Unstructured Grids

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

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

Gaussian Process Regression for Maximum Entropy Distribution

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

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

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

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

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

RBF Based CWENO Method

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

Model order reduction for large-scale structures with local nonlinearities