Showing 2024Show all
2 papers · 1 filter
math.NA2024
A Semi-Lagrangian Adaptive-Rank (SLAR) Method for Linear Advection and Nonlinear Vlasov-Poisson System
Nanyi Zheng, Daniel Hayes, Andrew Christlieb +1
High-order semi-Lagrangian methods for kinetic equations have been under rapid development in the past few decades. In this work, we propose a semi-Lagrangian adaptive rank (SLAR)…
math.NA2024
Distributed memory parallel adaptive tensor-train cross approximation
Tianyi Shi, Daniel Hayes, Jing-Mei Qiu
The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional function approximations arising from computational and data sciences. Various…