3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
The Lax-Friedrichs method in one-dimensional hemodynamics
Anika Beckers, Niklas Kolbe
The discretization of reduced one-dimensional hyperbolic models of blood flow using the Lax-Friedrichs method is discussed. Employing the well-established central scheme in this do…