A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation (Q1923466)
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scientific article; zbMATH DE number 932491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation |
scientific article; zbMATH DE number 932491 |
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A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation (English)
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8 June 1997
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A generator of new embedded \(P\)-stable methods of order \(2n+2\), where \(n\) is the number of layers used by the embedded methods, for the approximate numerical integration of the one-dimensional Schrödinger equation is developed. These new methods are called embedded methods because of a simple natural error control mechanism. Numerical results obtained for one-dimensional differential equations of the Schrödinger type show the validity of the developed theory.
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\(P\)-stability
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phase shift problem
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numerical examples
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Schrödinger equation
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embedded methods
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error control
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