1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NA2020★ 1 cited
Multi-level neural networks for PDEs with uncertain parameters
Yous van Halder, Benjamin Sanderse, Barry Koren
A novel multi-level method for partial differential equations with uncertain parameters is proposed. The principle behind the method is that the error between grid levels in multi-…
math.NA2019
Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods
B. Sanderse
A novel reduced-order model (ROM) formulation for incompressible flows is presented with the key property that it exhibits non-linearly stability, independent of the mesh (of the f…
math.NA2019
PDE/PDF-informed adaptive sampling for efficient non-intrusive surrogate modelling
Yous van Halder, Benjamin Sanderse, Barry Koren
A novel refinement measure for non-intrusive surrogate modelling of partial differential equations (PDEs) with uncertain parameters is proposed. Our approach uses an empirical inte…