A relaxation method for nonlocal and non-Hermitian operators (Q1917123)
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scientific article; zbMATH DE number 896674
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A relaxation method for nonlocal and non-Hermitian operators |
scientific article; zbMATH DE number 896674 |
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A relaxation method for nonlocal and non-Hermitian operators (English)
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15 December 1996
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One proposes a grid method to solve the time dependent Schrödinger equation. It uses the Crank-Nicolson scheme to propagate the wave function in time, and finite difference to approximate the derivatives. For solving the sparse linear system so obtained, one uses a symmetric successive overrelaxation iterative technique. Some numerical results are displayed for both local and nonlocal Hermitian.
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non-Hermitian operators
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grid method
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Schrödinger equation
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Crank-Nicolson scheme
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finite difference
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sparse linear system
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successive overrelaxation
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numerical results
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