A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrödinger equation (Q1587752)
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scientific article; zbMATH DE number 1538324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrödinger equation |
scientific article; zbMATH DE number 1538324 |
Statements
A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrödinger equation (English)
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11 April 2002
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This paper deals with the numerical solution of the Schrödinger equation. A new approach for constructing exponentially-fitted methods is developed, and a corresponding \(P\)-stable method of algebraic order six is derived. Numerical experiments show the efficiency of the proposed method.
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Schrödinger equation
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exponential fitting
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multistep methods
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finite difference methods
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resonance problem
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\(P\)-stability
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numerical experiments
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0.98262745
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0.97985387
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0.9778882
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0.9503163
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0.9265856
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0.92101765
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