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A relaxation method for nonlocal and non-Hermitian operators - MaRDI portal

A relaxation method for nonlocal and non-Hermitian operators (Q1917123)

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scientific article; zbMATH DE number 896674
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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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