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math.NA2023
Compactness estimates for difference schemes for conservation laws with discontinuous flux
Kenneth H. Karlsen, John D. Towers
We establish quantitative compactness estimates for finite difference schemes used to solve nonlinear conservation laws. These equations involve a flux function , wher…
math.NA2021
A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux
Shyam Sundar Ghoshal, John D Towers, Ganesh Vaidya
This article concerns a scalar multidimensional conservation law where the flux is of Panov type and may contain spatial discontinuities. We define a notion of entropy solution and…