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Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article we prove convergence of the Godunov scheme of [16] for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely…
Well-posedness for conservation laws with spatial heterogeneities and a study of BV regularity
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article, we consider scalar conservation laws with fluxes having spatial discontinuities and possible flat regions and study the following three aspects: (i) existence, (ii…
Positivity--preserving numerical scheme for hyperbolic systems with shock solutions and its convergence analysis
Aekta Aggarwal, Ganesh Vaidya, G. D. Veerappa Gowda
Godunov type numerical schemes for the class of hyperbolic systems, admitting non-classical shocks are proposed. It is shown that the numerical approximations converge to the…