31 citations · 42 across the 3 of their papers we have counts for
3 papers
cs.LG2020★ 31 cited
FiniteNet: A Fully Convolutional LSTM Network Architecture for Time-Dependent Partial Differential Equations
Ben Stevens, Tim Colonius
In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolution…
physics.comp-ph2019★ 11 cited
A fast multi-resolution lattice Green's function method for elliptic difference equations
Benedikt Dorschner, Ke Yu, Gianmarco Mengaldo +1
We propose a mesh refinement technique for solving elliptic difference equations on unbounded domains based on the fast lattice Green's function (FLGF) method. The FLGF method expl…
physics.flu-dyn2016
A strongly-coupled immersed-boundary formulation for thin deforming surfaces, with application to elastic beams
Andres Goza, Tim Colonius
We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-…