Linear barycentric rational method for solving Schrödinger equation (Q2051662)
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scientific article; zbMATH DE number 7433077
| Language | Label | Description | Also known as |
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| English | Linear barycentric rational method for solving Schrödinger equation |
scientific article; zbMATH DE number 7433077 |
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Linear barycentric rational method for solving Schrödinger equation (English)
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24 November 2021
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Summary: A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation method (CM) that is easy to program is obtained. The convergence rate of the LBRCM for solving the Schrodinger equation is proved from the convergence rate of linear barycentric rational interpolation. Finally, a numerical example verifies the correctness of the theoretical analysis.
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