4 papers
A Third-Order Maximum-Principle-Preserving CWENO Scheme for Two-Dimensional Nonlocal Conservation Laws
Anika Beckers, Jan Friedrich
We present a third-order finite volume central WENO scheme for systems of nonlocal conservation laws in two spatial dimensions. The CWENO reconstruction of the conservative variabl…
Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws
Anika Beckers, Jan Friedrich
We present a general class of numerical schemes for two-dimensional systems of nonlocal conservation laws, which are based on utilizing well-known monotone numerical flux functions…
A note on the central-upwind scheme for nonlocal conservation laws
Jan Friedrich, Samala Rathan, Sanjibanee Sudha
The central-upwind flux is a widely used numerical flux function for local conservation laws. It has been investigated by Kurganov and Polizzi (2009) for a specific nonlocal conser…
Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws
Sanjibanee Sudha, Jan Friedrich, Samala Rathan
We derive a second-order accurate, non-staggered central scheme based on the well-known Nessyahu-Tadmor scheme to approximate solutions of coupled systems of nonlocal balance laws.…