An entropic method for discrete systems with Gibbs entropy

Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin

Type: Preprint

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2106.12428

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	An Entropic Method for Discrete Systems with Gibbs Entropy	2022	Zhenning Cai Jingwei Hu Yang Kuang Bo Lin
+	Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model	2022	Hong-lin Liao Nan Liu Xuan Zhao
+ PDF Chat	An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker–Planck Equations	2016	Hailiang Liu Zhongming Wang
+	Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_σ$ scheme for time fractional Allen-Cahn model	2023	Hong-lin Liao Xiaohan Zhu Hong Sun
+	Strictly convex entropy and entropy stable schemes for reactive Euler equations	2021	Weifeng Zhao
+ PDF Chat	Stochastic dynamics, large deviation principle, and nonequilibrium thermodynamics	2021	Liu Hong Hong Qian
+	Entropy method for hypocoercive Fokker-Planck equations with linear drift	2014	Anton Arnold
+	Conservative finite-difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy	1987	Yu. A. Berezin V.N. Khudick M. Pekker
+	Energy Dissipation Law of the Temporal Variable-Step Fractional BDF2 Scheme for Space–Time-Fractional Cahn–Hilliard Equation	2024	Xuan Zhao Bingqing Hu Hong Sun
+	An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation	2020	Hong-lin Liao Tao Tang Tao Zhou
+	Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2024	Hong-lin Liao Nan Liu Xuan Zhao
+ PDF Chat	An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation	2021	Hong-lin Liao Tao Tang Tao Zhou
+	A Robust, Symmetric Operator-Composition Integrator for the Berendsen Temperature-Control Molecular Dynamics Equation	2020	Ikuo Fukuda Séverine Queyroy Haruki Nakamura
+ PDF Chat	Mathematical analysis of stochastic numerical methods in molecular dynamics	2015	Houssam Alrachid
+	Entropy stability analysis of smoothed dissipative particle dynamics	2019	Satori Tsuzuki
+ PDF Chat	Irreversible Circulation of Fluctuation and Entropy Production	2008	Hiroyuki Tomita Mitsusada M. Sano
+	Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach	2020	Chenghua Duan Wenbin Chen Chun Liu Xingye Yue Shenggao Zhou
+ PDF Chat	Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach	2021	Chenghua Duan Wenbin Chen Chun Liu Xingye Yue Shenggao Zhou
+	Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson--Nernst--Planck Equations	2022	Jie Ding Cheng Wang Shenggao Zhou
+	A Temperature-based thermodynamically consistent time integration for discrete thermoelastodynamics	2015	Sergio Conde Martín Juan Carlos García Orden Peter Betsch

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (9)

Action	Title	Year	Authors
+	Investigations of the Motion of Discrete-Velocity Gases	1989	D. Goldstein B. Sturtevant James E. Broadwell
+	An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory	1994	Pierre Degond Brigitte Lucquin‐Desreux
+	Numerical Analysis of Conservative and Entropy Schemes for the Fokker--Planck--Landau Equation	1999	Christophe Buet Stéphane Cordier
+	Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator	2000	Lorenzo Pareschi Giovanni Russo
+ PDF Chat	An Entropic Fourier Method for the Boltzmann Equation	2018	Zhenning Cai Yuwei Fan Lexing Ying
+ PDF Chat	Entropy Dissipation Semi-Discretization Schemes for Fokker–Planck Equations	2018	Shui-Nee Chow Luca Dieci Wuchen Li Haomin Zhou
+ PDF Chat	Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications	2017	Lorenzo Pareschi Mattia Zanella
+	Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure	2020	Rafael Bailo José A. Carrillo Jingwei Hu
+ PDF Chat	The kernel polynomial method	2006	Alexander Weiße Gerhard Wellein Andreas Alvermann Holger Fehske