2 papers
math.NA2026
An asymptotic-preserving reduced-order method for parametrised rarefied gas flow by proper generalised decomposition
Luowei Yin, Wei Su
Modelling rarefied gas flow using the Boltzmann equation is vital in many areas. Due to the high dimensionality and coexistence of multiple characteristic scales, conventional solu…
math.NA2024
A Review of Neural Network Solvers for Second-order Boundary Value Problems
Ramesh Chandra Sau, Luowei Yin
Deep learning-based partial differential equation(PDE) solvers have received much attention in the past few years. Methods of this category can solve a wide range of PDEs with high…