The Leray-Gårding method for finite difference schemes

DOI10.5802/JEP.25zbMath1328.65175arXiv1505.06060OpenAlexW4376633023MaRDI QIDQ901379

Jean-François Coulombel

Publication date: 11 January 2016

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06060

zbMATH Keywords

stabilityboundary conditionssemigrouphyperbolic equationsdifference approximations

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) Initial value problems for first-order hyperbolic equations (35L03) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (3)

Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval ⋮ Inverse Lax-Wendroff boundary treatment for compressible Lagrange-remap hydrodynamics on Cartesian grids ⋮ Transparent numerical boundary conditions for evolution equations: Derivation and stability analysis

Uses Software

• RODAS
• Eigtool

Cites Work

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• Fully discrete hyperbolic initial boundary value problems with nonzero initial data
• A note on the leap-frog scheme in two and three dimensions
• On the stability definition of difference approximations for the initial boundary value problem
• Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator
• Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems
• Solving Ordinary Differential Equations I
• Boundary Conditions for a Fourth Order Hyperbolic Difference Scheme
• Symmetrizable Finite Difference Operators
• Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems
• Two-step Bdf Time Discretisation of Nonlinear Evolution Problems Governed by Monotone Operators with Strongly Continuous Perturbations
• Stability Theory of Difference Approximations for Multidimensional Initial-Boundary Value Problems
• Instability of difference models for hyperbolic initial boundary value problems
• Stability of Two-Dimensional Initial Boundary Value Problems Using Leap- Frog Type Schemes
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems
• Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations
• Systems of Difference Equations with General Homogeneous Boundary Conditions
• Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
• L₂ is a continuable initial condition for kreiss' mixed problems

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