activity
20192026
most citedDeepXDE: A deep learning library for solving differential equations

2.5k citations · 6.9k across the 23 of their papers we have counts for

collaborators

23 papers

physics.comp-ph2026

Monte Carlo Physics-informed Neural Networks for Inverse Multiscale Heat Conduction Problems via the Phonon Boltzmann Transport Equation

Qingyi Lin, Chuang Zhang, Xuhui Meng +1

Inferring thermal fields and thermophysical properties from limited measurements is a fundamental challenge in micro- and nanoscale heat conduction, where the classical Fourier law…

physics.comp-ph2024

Monte Carlo Physics-informed neural networks for multiscale heat conduction via phonon Boltzmann transport equation

Qingyi Lin, Chuang Zhang, Xuhui Meng +1

The phonon Boltzmann transport equation (BTE) is widely used for describing multiscale heat conduction (from nm to m or mm) in solid materials. Developing numerical approaches t…

cs.LG2023★ 6 cited

Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators

Zongren Zou, Xuhui Meng, George Em Karniadakis

Uncertainty quantification (UQ) in scientific machine learning (SciML) becomes increasingly critical as neural networks (NNs) are being widely adopted in addressing complex problem…

cs.LG2023★ 4 cited

Correcting model misspecification in physics-informed neural networks (PINNs)

Zongren Zou, Xuhui Meng, George Em Karniadakis

Data-driven discovery of governing equations in computational science has emerged as a new paradigm for obtaining accurate physical models and as a possible alternative to theoreti…

physics.flu-dyn2023★ 10 cited

Solution multiplicity and effects of data and eddy viscosity on Navier-Stokes solutions inferred by physics-informed neural networks

Zhicheng Wang, Xuhui Meng, Xiaomo Jiang +2

Physics-informed neural networks (PINNs) have emerged as a new simulation paradigm for fluid flows and are especially effective for inverse and hybrid problems. However, vanilla PI…

cs.LG2023★ 39 cited

Physics-informed neural networks for predicting gas flow dynamics and unknown parameters in diesel engines

Kamaljyoti Nath, Xuhui Meng, Daniel J Smith +1

This paper presents a physics-informed neural network (PINN) approach for monitoring the health of diesel engines. The aim is to evaluate the engine dynamics, identify unknown para…