On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1 (Q1395231)
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 using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1 |
scientific article; zbMATH DE number 1940617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1 |
scientific article; zbMATH DE number 1940617 |
Statements
On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1 (English)
0 references
1 July 2003
0 references
The author examines the applicability of Newton-type iterative methods to the solution of systems of differential-algebraic equations of index 1. A new combined numerical method based on the Euler method and general Newton iterations is designed. The convergence of the method is proved, and an error estimate for the numerical solution is obtained.
0 references
differential-algebraic equations
0 references
Newton-type iterative method
0 references
Euler method
0 references
systems
0 references
convergence
0 references
error estimate
0 references
