Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models

Qiang Du, Zhan Huang, Philippe G. LeFloch

Type: Article

Publication Date: 2017-01-01

Citations: 26

DOI: https://doi.org/10.1137/16m1105372

View Publication

Locations

SIAM Journal on Numerical Analysis - View
HAL (Le Centre pour la Communication Scientifique Directe) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	NONLOCAL CONSERVATION LAWS. I. A NEW CLASS OF MONOTONICITY-PRESERVING MODELS	2016	Qiang Du Zhan Huang Philippe G. LeFloch
+ PDF Chat	Nonlinear semigroups for nonlocal conservation laws	2023	Mihály Kovács Mihály A. Vághy
+	Nonlinear semigroups for nonlocal conservation laws	2021	Mihály Kovács Mihály A. Vághy
+	Nonlocal balance laws – an overview over recent results	2023	Alexander Keimer Lukas Pflug
+	Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon	2021	Xiaoxuan Yu Yan Xu Qiang Du
+	On the convergence to local limit of nonlocal models with approximated interaction neighborhoods	2021	Qiang Du Hehu Xie Xiaobo Yin
+	Nonlocal Sources in Hyperbolic Balance Laws with Applications	2008	Rinaldo M. Colombo Graziano Guerra
+ PDF Chat	On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	2022	Qiang Du Hehu Xie Xiaobo Yin
+	Maximum principle preserving finite difference scheme for 1-D nonlocal-to-local diffusion problems	2021	Amanda Gute Xingjie Helen Li
+ PDF Chat	Diminishing functionals for nonclassical entropy solutions selected by kinetic relations	2010	Marc Laforest Philippe G. LeFloch
+ PDF Chat	A Note on Explicit Convergence Rates of Nonlocal Peridynamic Operators in $L^q$-Norm	2024	Adam Larios Isabel Safarik
+	Maximum Principle Preserving Finite Difference Scheme for 1-D Nonlocal-to-Local Diffusion Problems	2021	Amanda Gute Xingjie Helen Li
+	Maximum Principle Preserving Finite Difference Scheme for 1-D Nonlocal-to-Local Diffusion Problems	2021	Amanda Gute Xingjie Helen Li
+	Nonlocal Conservation Laws with Memory	2008	Cleopatra Christoforou
+	Numerical schemes for a class of nonlocal conservation laws: a general approach	2023	Jan Friedrich Sanjibanee Sudha Samala Rathan
+	On approximation of local conservation laws by nonlocal conservation laws	2019	Alexander Keimer Lukas Pflug
+	Numerical schemes for a class of nonlocal conservation laws: a general approach	2023	Jan Friedrich Sanjibanee Sudha Samala Rathan
+ PDF Chat	Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws	2021	Ulrik Skre Fjordholm Adrian M. Ruf
+	Numerical Analysis of Conservation Laws Involving Non-local Terms	2019	Neelabja Chatterjee
+	On a nonlocal hyperbolic conservation law arising from a gradient constraint problem	2012	Paulo Amorim

Works That Cite This (19)

Action	Title	Year	Authors
+	Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon	2021	Xiaoxuan Yu Yan Xu Qiang Du
+ PDF Chat	Nonlocal Wasserstein distance: metric and asymptotic properties	2023	Dejan Slepčev Andrew Warren
+	Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems	2024	Qiang Du Lili Ju Jianfang Lu Xiaochuan Tian
+	Kinetic discretization of one-dimensional nonlocal flow models	2022	Mihály A. Vághy Mihály Kovács Gábor Szederkényi
+ PDF Chat	Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws	2021	Ulrik Skre Fjordholm Adrian M. Ruf
+ PDF Chat	Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes	2023	Kailiang Wu Chi‐Wang Shu
+ PDF Chat	A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems	2022	Yu Leng Xiaochuan Tian Leszek Demkowicz Héctor Gómez John T. Foster
+ PDF Chat	Numerical methods for nonlocal and fractional models	2020	Marta D’Elia Qiang Du Christian Glusa Max Gunzburger Xiaochuan Tian Zhi Zhou
+	Nonlocal balance laws – an overview over recent results	2023	Alexander Keimer Lukas Pflug
+ PDF Chat	On a class of nonlocal continuity equations on graphs	2023	Antonio Esposito Francesco S. Patacchini André Schlichting

Works Cited by This (31)

Action	Title	Year	Authors
+	Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems	1998	Piotr Biler Wojbor A. Woyczyński
+	Scalar Conservation Laws with Mixed Local and Nonlocal Diffusion-Dispersion Terms	2005	Christian Rohde
+ PDF Chat	On the Numerical Integration of Scalar Nonlocal Conservation Laws	2014	Paulo Amorim Rinaldo M. Colombo Andréia Teixeira
+ PDF Chat	Nonclassical Shocks and Kinetic Relations: Finite Difference Schemes	1998	Brian T. Hayes Philippe G. LeFloch
+ PDF Chat	Spectral viscosity approximations to multidimensional scalar conservation laws	1993	Gui‐Qiang Chen Qiang Du Eitan Tadmor
+	Burgers--Poisson: A Nonlinear Dispersive Model Equation	2004	Christian Schmeiser Klemens Fellner
+	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations	2013	Xiaochuan Tian Qiang Du
+ PDF Chat	Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation	2007	Vincent J. Ervin Norbert Heuer John Paul Roop
+	Energy method for multi-dimensional balance laws with non-local dissipation	2009	Renjun Duan Klemens Fellner Changjiang Zhu
+ PDF Chat	Systems of conservation laws	1960	Peter D. Lax Burton Wendroff