Automatic GKS stbility analysis
SIAM Journal on Scientific and Statistical Computing
Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
Stability of a Runge-Kutta method for the Euler equations on a substructured domain
SIAM Journal on Scientific and Statistical Computing
A numerical algorithm for stability analysis of difference methods for hyperbolic systems
SIAM Journal on Scientific and Statistical Computing
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
The stability of numerical boundary treatments for compact high-order finite-difference schemes
Journal of Computational Physics
On the influence of numerical boundary conditions
Applied Numerical Mathematics
A Godunov-Ryabenkii Instability for a Quickest Scheme
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
On the edge of stability analysis
Applied Numerical Mathematics
| Hi-index | 0.00 |
A decomposition of the numerical solution can be defined by the normal mode representation, that generalizes further the spatial eigenmode decomposition of the von Neumann analysis by taking into account the boundary conditions which are not periodic. In this paper we present some new theoretical results on normal mode analysis for a linear and parabolic initial value problem. Furthermore we suggest an algorithm for the calculation of stability regions based on the normal mode theory.