The Neumann numerical boundary condition for transport equations

DOI10.3934/krm.2020001zbMath1437.65093arXiv1811.02229OpenAlexW2994324903MaRDI QIDQ2176168

Jean-François Coulombel, Frédéric Lagoutière

Publication date: 4 May 2020

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02229

zbMATH Keywords

stabilityconvergenceNeumann boundary conditionnumerical schemestransport equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Transport equations (35Q49)

Related Items (3)

A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry ⋮ Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval ⋮ Ghost solutions with centered schemes for one-dimensional transport equations with Neumann boundary conditions

Uses Software

• Eigtool

Cites Work

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• Stability of difference schemes in the maximum-norm
• Numerical boundary layers for hyperbolic systems in 1-D
• Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems
• Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems: Numerical Boundary Layers
• Instability of difference models for hyperbolic initial boundary value problems
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
• Absorbing Boundary Conditions for the Discretization Schemes of the One-Dimensional Wave Equation
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• On a Boundary Extrapolation Theorem by Kreiss
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. I
• Radiation Boundary Conditions for Dispersive Waves
• The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems
• Transparent numerical boundary conditions for evolution equations: Derivation and stability analysis
• On Difference Approximations with Wrong Boundary Values
• Systems of Difference Equations with General Homogeneous Boundary Conditions
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
• Norms of powers of absolutely convergent Fourier series

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