L-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods (Q1802625)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: L-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods |
scientific article; zbMATH DE number 205044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | L-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods |
scientific article; zbMATH DE number 205044 |
Statements
L-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods (English)
0 references
6 September 1993
0 references
The author investigates the \(L\)-stability of diagonally implicit Runge- Kutta and Rosenbrock methods for solving initial value problems of stiff systems of ordinary differential equations. It is shown that for the first four stages of these methods no scheme exists the order of damping of which is more than one. The author also establishes that the \(L\)- stable stages cannot be imbedded.
0 references
\(L\)-stability
0 references
diagonally implicit Runge-Kutta and Rosenbrock methods
0 references
stiff systems
0 references
order of damping
0 references
0.8192423582077026
0 references
