On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation (Q1272873)
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: On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation |
scientific article; zbMATH DE number 1228549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation |
scientific article; zbMATH DE number 1228549 |
Statements
On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation (English)
0 references
2 May 1999
0 references
The author considers the Cauchy problem for a sectorial evolution equation with generally variable operator in a Banach space. Variable stepsize discretizations of this problem by means of a strongly \(A(\varphi)\)-stable Runge-Kutta method are studied. Stability and error estimates of the discrete solutions are derived for wider families of nonuniform grids than quasiuniform ones.
0 references
Runge-Kutta method
0 references
Cauchy problem
0 references
evolution equation
0 references
variable stepsize approximations
0 references
stability estimates
0 references
error estimates
0 references
0 references
0 references
0 references
0 references
