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Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker–Planck equations Cover

Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker–Planck equations

Communications in Applied and Industrial Mathematics
Volume 16 (2025): Issue 1 (January 2025)
By: José A. Carrillo,  Hailiang Liu and  Hui Yu  
Open Access
|May 2025

Authors

José A. Carrillo

carrillo@maths.ox.ac.uk

Mathematical Institute, University of Oxford, Oxford, United Kingdom

Hailiang Liu

Iowa State University, Mathematics Department, United States

Hui Yu

School of Mathematics and Computational Science, Xiangtan University, Xiangtan, China
DOI: https://doi.org/10.2478/caim-2025-0002 | Journal eISSN: 2038-0909
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Language: English
Page range: 19 - 40
Submitted on: Mar 22, 2024
|
Accepted on: Mar 31, 2025
|
Published on: May 24, 2025
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Discontinuous Galerkin methods,
Fokker--Planck equations,
energy dissipation,
positivity-preservation
Related subjects:
Mathematics,
Numerical and computational mathematics,
Applied mathematics

© 2025 José A. Carrillo, Hailiang Liu, Hui Yu, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution 4.0 License.

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