3 papers
math.NA2026
DAS-PINNs for high-dimensional partial differential equations: extending deep adaptive sampling to spacetime domains
Anshima Singh, David J. Silvester
Time-dependent high-dimensional partial differential equations (PDEs) with spatially localised and dynamically evolving solutions pose a fundamental challenge for physics-informed…
physics.flu-dyn2026
Adaptive Sampling for Hydrodynamic Stability
Anshima Singh, David J. Silvester
An adaptive sampling approach for efficient detection of bifurcation boundaries in parametrized fluid flow problems is presented herein. The study extends the machine-learning appr…
physics.flu-dyn2026
Machine learning for hydrodynamic stability
David J. Silvester
A machine-learning strategy for investigating the stability of fluid flow problems is proposed herein. The goal is to provide a simple yet robust methodology to find a nonlinear ma…