Physics-informed neural networks and functional interpolation for stiff chemical kinetics

Physics-informed neural networks for rarefied-gas dynamics: Thermal creep flow in the Bhatnagar–Gross–Krook approximation

(2021) Mario De Florio et al.   PHYSICS OF FLUIDS

Stiff neural ordinary differential equations

(2021) Suyong Kim et al.   CHAOS

Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs

(2021) Siddhartha Mishra et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Stiff-PINN: Physics-Informed Neural Network for Stiff Chemical Kinetics

(2021) Weiqi Ji et al.   JOURNAL OF PHYSICAL CHEMISTRY A

Physics-Informed Neural Networks and Functional Interpolation for Data-Driven Parameters Discovery of Epidemiological Compartmental Models

(2021) Enrico Schiassi et al.   Mathematics

Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations

(2021) Suchuan Dong et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations

(2021) Enrico Schiassi et al.   NEUROCOMPUTING

Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics

(2021) Enrico Schiassi et al.   ANNALS OF NUCLEAR ENERGY

Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

(2020) Ameya D. Jagtap et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

PPINN: Parareal physics-informed neural network for time-dependent PDEs

(2020) Xuhui Meng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Solutions of Chandrasekhar’s Basic Problem in Radiative Transfer via Theory of Functional Connections

(2020) Mario De Florio et al.   JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High accuracy least-squares solutions of nonlinear differential equations

(2018) Daniele Mortari et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Integration of chemical stiff ODEs using exponential propagation method

(2011) M. Falati et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

On a Neural Approximator to ODEs

(2008) Cristian Filici   IEEE TRANSACTIONS ON NEURAL NETWORKS