Automatic GKS Stability Analysis
Copyright policy )Automatic GKS Stability Analysis
The investigation of the GKS-stability of a given discretization of a linear hyperbolic initial-boundary value problem is usually a very difficult task. This useful paper describes software for automatic GKS- stability analysis. A new software system IBSTAB includes both FORTRAN numerical routines and LISP symbolic manipulators. Tests are reported which show that the new tool readily delivers the correct stability conditions of a number of discretizations whose stability analysis were available in the literature.
automatic GKS-stability analysis, symbolic formula manipulation, FORTRAN numerical routines, software system IBSTAB, LISP symbolic manipulators, Initial-boundary value problems for first-order hyperbolic systems, Stability and convergence of numerical methods for boundary value problems involving PDEs, Computer aspects of numerical algorithms
automatic GKS-stability analysis, symbolic formula manipulation, FORTRAN numerical routines, software system IBSTAB, LISP symbolic manipulators, Initial-boundary value problems for first-order hyperbolic systems, Stability and convergence of numerical methods for boundary value problems involving PDEs, Computer aspects of numerical algorithms
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