On the Numerical Integration of Scalar Nonlocal Conservation Laws
By Paulo Amorim, Rinaldo M. Colombo, Andreia Sofia Teixeira. 2015
107 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/296c40c928d9bb76084bc4c348a9aca6d375d161
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Felisia Angela Chiarello
- Paola Goatin
- Alexander Keimer
- Lukas Pflug
- Jean-Michel Coron
- Giuseppe Maria Coclite
- Zhaoyang Yin
In Modeling and Simulation
In Statistical and Nonlinear Physics
- Jean-Michel Coron
- Paola Goatin
- Alexander Keimer
- Giuseppe Maria Coclite
- Lukas Pflug
- Eduardo Cerpa
- Karine Beauchard
- Olivier Glass
Citations in the corpus
- Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel (2018, background): “Unlike similar non-local equations [2, 3, 6–8, 12, 20], these models are characterized by the presence of an anisotropic discontinuous kernel, which makes general theoretical results [1–3] inapplicable as such.”
- A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels (2020, background): “First in [3] it has been observed that, at least numerically, there is some hope that the solution of the nonlocal conservation law converges to the local entropy solution when the nonlocal term approaches a Dirac delta.”