arxivmath.NAcs.LG2026-06-30
Domain-Decomposed Randomized Neural Networks for Partial Differential Equations in Unbounded Domains
Haixin Wang, Haoning Dang, Fei Wang, Shimin Guo
Partial differential equations on unbounded domains are challenging because the exterior region must be represented without excessive truncation error. Truncation-based methods often require problem-dependent artificial boundary conditions, while global spectral bases may be inef…