On the stability of discrete boundaries conditions for linear hyperbolic systems
Abstract
Abstract This work concerns the numerical approximations of the boundary conditions for linear hyperbolic systems. Discrete boundary procedure computations and an artificial viscosity are proposed to corrected any three-point finite volume schemes. The fully discrete stability of the resulting numerical schemes is established. Numerical test cases are performed to illustrate the relevancy of the proposed procedure.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Stability and Controllability of Differential Equations
Differential Equations and Boundary Problems
Publication details
- Journal / source
- IMA Journal of Numerical Analysis
- Publication date
- 7 January 2026
- Language
- EN