𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations

DOI10.1090/S0025-5718-2014-02818-4zbMath1300.65067arXiv1205.0907OpenAlexW2073630324MaRDI QIDQ3189446

E. B. Storrøsten, Nils Henrik Risebro, Kenneth Hvistendahl Karlsen

Publication date: 10 September 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0907

zbMATH Keywords

error estimatesfinite difference schemesentropy conditionsdegenerate convection-diffusion equations

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Practical Convergence Rates for Degenerate Parabolic Equations ⋮ A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations ⋮ Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations ⋮ A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain ⋮ Fast reliable simulations of secondary settling tanks in wastewater treatment with semi-implicit time discretization ⋮ A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions ⋮ On numerical methods and error estimates for degenerate fractional convection-diffusion equations ⋮ On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions ⋮ Singular diffusion with Neumann boundary conditions ⋮ Unnamed Item

Cites Work

• An error estimate for the finite difference approximation to degenerate convection-diffusion equations
• Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
• Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
• Entropy solutions for nonlinear degenerate problems
• Discrete approximations of \(BV\) solutions to doubly nonlinear degenerate parabolic equations
• Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
• On uniqueness techniques for degenerate convection-diffusion problems
• On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
• Regularity of weak solutions of the nonlinear Fokker-Planck equation
• Differential equation s in abstract spaces
• Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
• Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
• A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
• DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
• Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems
• Continuous dependence and error estimation for viscosity methods
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
• Diffusive BGK approximations for nonlinear multidimensional parabolic equations
• An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations
• A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach
• Hyperbolic Conservation Laws in Continuum Physics
• Error estimate for approximate solutions of a nonlinear convection-diffusion problem.
• Unnamed Item
• Unnamed Item

This page was built for publication: 𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations