2 papers
math.NA2026
Singular parameters and missing limits in neural PDE solvers
Daniel Fernández
Neural solvers for partial differential equations (PDEs) can approach an accurate solution while their parameters grow without bound. In such cases, the limiting solution may have…
math.NA2026
Selective boundary condition reduction via learned error gating
Daniel Fernández, Dominik Penk, Dominik Riedelbauch
Parametric PDEs can admit different boundary conditions with different accuracy and computational cost. We introduce a framework for learning when one reduced boundary condition ca…