The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems

DOI10.2307/2153323zbMath0820.65053OpenAlexW1970613334MaRDI QIDQ4325717

Lixin Wu

Publication date: 17 September 1995

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

Full work available at URL: https://semanticscholar.org/paper/9e0f1476e8b0d70e2cadca38c7f0547d11195918

zbMATH Keywords

Runge-Kutta methodsemidiscrete approximationsfirst-order hyperbolic systemdifference approximationsKreiss conditionsemigroup stability

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 systems (35L45)

Related Items (7)

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 stability definition of difference approximations for the initial boundary value problem ⋮ Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems

This page was built for publication: The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems