A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation (Q1976652)
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: A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation |
scientific article; zbMATH DE number 1445823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation |
scientific article; zbMATH DE number 1445823 |
Statements
A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation (English)
0 references
6 September 2000
0 references
This paper deals with a new approach for constructing exponentially-fitted methods. Using this approach the author constructs methods which exactly integrate functions and which are \(P\)-stable. Two \(P\)-stable exponentially-fitted methods are obtained. The new methods are applied to the resonance problem (which arises from the one-dimensional Schrödinger equation) with two different types of potentials.
0 references
\(P\)-stability
0 references
exponentially-fitted methods
0 references
resonance problem
0 references
Schrödinger equation
0 references
