2 papers
stat.ML2025
LiLaN: A Linear Latent Network as the Solution Operator for Real-Time Solutions to Stiff Nonlinear Ordinary Differential Equations
William Cole Nockolds, C. G. Krishnanunni, Tan Bui-Thanh +1
Solving stiff ordinary differential equations (StODEs) requires sophisticated numerical solvers, which are often computationally expensive. In general, traditional explicit time in…
stat.ML2024
A Model-Constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization
Hai V. Nguyen, Jau-Uei Chen, Tan Bui-Thanh
Real-time accurate solutions of large-scale complex dynamical systems are critically needed for control, optimization, uncertainty quantification, and decision-making in practical…