Stability of some boundary value methods for the solution of initial value problems (Q1314632)
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: Stability of some boundary value methods for the solution of initial value problems |
scientific article; zbMATH DE number 503583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of some boundary value methods for the solution of initial value problems |
scientific article; zbMATH DE number 503583 |
Statements
Stability of some boundary value methods for the solution of initial value problems (English)
0 references
8 September 1994
0 references
Boundary value methods for the solution of linear initial value problems are created in such a form that the arising linear system has a tridiagonal block matrix. This matrix is investigated in detail for constant and variable stepsize for the three methods considered -- midpoint rule, Simpson method, and Adams method of order 3. Four numerical examples illustrate the theoretical results.
0 references
stability
0 references
boundary value methods
0 references
linear initial value problems
0 references
tridiagonal block matrix
0 references
variable stepsize
0 references
midpoint rule
0 references
Simpson method
0 references
Adams method
0 references
numerical examples
0 references
0 references
0 references
