2 papers
math.NA2026
Are Deep Learning Based Hybrid PDE Solvers Reliable? Why Training Paradigms and Update Strategies Matter
Yuhan Wu, Jan Willem van Beek, Victorita Dolean +1
Deep learning-based hybrid iterative methods (DL-HIMs) integrate classical numerical solvers with neural operators, utilizing their complementary spectral biases to accelerate conv…
math.NA2025
Local Feature Filtering for Scalable and Well-Conditioned Domain-Decomposed Random Feature Methods
Jan Willem van Beek, Victorita Dolean, Ben Moseley
Random Feature Methods (RFMs) and their variants such as extreme learning machine finite-basis physics-informed neural networks (ELM-FBPINNs) offer a scalable approach for solving…