A learned conservative semi-Lagrangian finite volume scheme for transport simulations
Semi-Lagrangian (SL) schemes are known as a major numerical tool for solving transport
equations with many advantages and have been widely deployed in the fields of …
equations with many advantages and have been widely deployed in the fields of …
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System
Machine-learning (ML) based discretization has been developed to simulate complex partial
differential equations (PDEs) with tremendous success across various fields. These learned …
differential equations (PDEs) with tremendous success across various fields. These learned …
[HTML][HTML] Numerical adiabatic perturbation theory for the absolute| K|(p, p) equation
R Garralon-López, F Rus, FR Villatoro - Mathematics and Computers in …, 2024 - Elsevier
In physical applications, the absolute| K|(p, p) equation should be preferred to the widely
used Rosenau–Hyman K (p, p) equation due to the robustness of its compactons and …
used Rosenau–Hyman K (p, p) equation due to the robustness of its compactons and …
Conservative semi-lagrangian finite difference scheme for transport simulations using graph neural networks
Semi-Lagrangian (SL) schemes are highly efficient for simulating transport equations and
are widely used across various applications. Despite their success, designing genuinely …
are widely used across various applications. Despite their success, designing genuinely …
Numerical adiabatic perturbation theory for the absolute equation
R Garralon-López, FA Rus-Mansilla… - 2024 - riuma.uma.es
In physical applications, the absolute equation should be preferred to the widely used
Rosenau–Hyman equation due to the robustness of its compactons and anticompactons …
Rosenau–Hyman equation due to the robustness of its compactons and anticompactons …