Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems
From MaRDI portal
Publication:3081279
DOI10.1090/S0025-5718-10-02368-9zbMath1308.65142MaRDI QIDQ3081279
Jean-François Coulombel, Antoine Gloria
Publication date: 7 March 2011
Published in: Mathematics of Computation (Search for Journal in Brave)
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-boundary value problems for first-order hyperbolic equations (35L04)
Related Items (8)
Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval ⋮ The Neumann numerical boundary condition for transport equations ⋮ The Leray-Gårding method for finite difference schemes ⋮ Tamed stability of finite difference schemes for the transport equation on the half-line ⋮ Inverse Lax-Wendroff boundary treatment for compressible Lagrange-remap hydrodynamics on Cartesian grids ⋮ Fully discrete hyperbolic initial boundary value problems with nonzero initial data ⋮ On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions ⋮ Transparent numerical boundary conditions for evolution equations: Derivation and stability analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Complex symmetric matrices with strongly stable iterates
- Symmetric hyperbolic difference schemes and matrix problems
- Stability Theory of Difference Approximations for Multidimensional Initial-Boundary Value Problems
- 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
- Difference Methods for Stiff Ordinary Differential Equations
- The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems
- A Formula for the Spectral Radius of an Operator
- Well-Posed Problems and Stable Difference Operators
- On stability for difference schemes; a sharp form of gårding's inequality
- Initial boundary value problems for hyperbolic systems
- Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
- L2 is a continuable initial condition for kreiss' mixed problems
- On the stability of Friedrichs’ scheme and the modified Lax-Wendroff scheme
- Difference schemes for hyperbolic equations with high order of accuracy
This page was built for publication: Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems
