A BOUNDED VARIATION ESTIMATE FOR THE FORCE SCHEME APPLIED TO STRICTLY HYPERBOLIC SYSTEMS OF CONSERVATION LAWS IN THE TEMPLE CLASS

DOI10.1142/S0219891613500045zbMath1280.35074OpenAlexW2048136414MaRDI QIDQ2836511

Rajib Dutta

Publication date: 3 July 2013

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891613500045

zbMATH Keywords

BV estimatesFORCE schemetwo-step monotonization scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Monotonization of flux, entropy and numerical schemes for conservation laws
• Convergence of approximate solutions to conservation laws
• On the convergence of Godunov scheme for nonlinear hyperbolic systems
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• An instability of the Godunov scheme
• Well-posedness theory for hyperbolic conservation laws
• BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws
• Centred TVD schemes for hyperbolic conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations