Convergence rates of monotone schemes for conservation laws for data with unbounded total variation

DOI10.1007/s10915-022-01806-xOpenAlexW3093429421MaRDI QIDQ2144965

Kjetil O. Lye, Ulrik Skre Fjordholm

Publication date: 17 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07642

zbMATH Keywords

numerical methodsconvergence ratehyperbolic conservation lawsirregular data

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (1)

A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux

Cites Work

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• Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media
• Statistics of shocks in solutions of inviscid Burgers equation
• The inviscid Burgers equation with initial data of Brownian type
• The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance
• Monotone Difference Approximations for Scalar Conservation Laws
• The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws
• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
• On the Importance of the Stokes-Brinkman Equations for Computing Effective Permeability in Karst Reservoirs
• Convergence rates of finite difference schemes for the linear advection and wave equation with rough coefficient
• Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
• Fractional Brownian Motions, Fractional Noises and Applications
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Second-Order Convergence of Monotone Schemes for Conservation Laws
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws

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