A robust and conservative dynamical low-rank algorithm-Reference-Cited by-同舟云学术

A robust and conservative dynamical low-rank algorithm

Published:2023-07 Issue: Volume:484 Page:112060
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Einkemmer Lukas,Ostermann Alexander,Scalone Carmela

Funder

Ministero dell'Istruzione dell'Universita e della Ricerca

Gruppo Nazionale per il Calcolo Scientifico

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference22 articles.

1. High-order Hamiltonian splitting for the Vlasov–Poisson equations;Casas;Numer. Math.,2017

2. Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign;Cassini;Comput. Phys. Commun.,2022

3. A rank-adaptive robust integrator for dynamical low-rank approximation;Ceruti;BIT Numer. Math.,2022

4. An unconventional robust integrator for dynamical low-rank approximation;Ceruti;BIT Numer. Math.,2022

5. Rank-adaptive time integration of tree tensor networks;Ceruti;SIAM J. Numer. Anal.,2023

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1. Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model;Mathematics of Computation;2024-08-08

2. Natural model reduction for kinetic equations;Research in the Mathematical Sciences;2024-08-03

3. Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation;Advances in Computational Mathematics;2024-07-16

4. A robust second-order low-rank BUG integrator based on the midpoint rule;BIT Numerical Mathematics;2024-07-13

5. Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition;Journal of Computational Physics;2024-07