21 citations · 46 across the 22 of their papers we have counts for
4 papers · 1 filter
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
Seungchan Ko, Seok-Bae Yun, Youngjoon Hong
In this paper, we perform the convergence analysis of unsupervised Legendre--Galerkin neural networks (ULGNet), a deep-learning-based numerical method for solving partial different…
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we propose and analyse a reconstruction technique which enables one to design high-order conservative semi-Lagrangian schemes for kinetic equations. The proposed rec…
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we present a new class of conservative semi-Lagrangian schemes for kinetic equations. They are based on the conservative reconstruction technique introduced in [S. Y…
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo +1
In this paper, we propose a new semi-Lagrangian scheme for the polyatomic ellipsoidal BGK model. In order to avoid time step restrictions coming from convection term and small Knud…