15 citations · 24 across the 5 of their papers we have counts for
3 papers · 1 filter
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…
Second order scheme for scalar conservation law with discontinuous flux
Adimurthi, Sudarshan Kumar K, G. D. Veerappa Gowda
Burger et al.in \cite{karlsen-1} proposed a flux TVD (FTVD) second order scheme by using a new non local limiter algorithm for conservation laws with discontinuous flux modeling cl…
Finer analysis of characteristic curves and its application to shock profile, exact and optimal controllability of a scalar conservation law with strict convex flux
Adimurthi, Shyam Sundar Ghoshal, G. D. Veerappa Gowda
Here we consider scalar conservation law in one space dimension with strictly convex flux. Goal of this paper is to study two problems. First problem is to know the profile of the…