On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I (Q883674)
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scientific article; zbMATH DE number 5163071
| Language | Label | Description | Also known as |
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| English | On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I |
scientific article; zbMATH DE number 5163071 |
Statements
On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I (English)
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8 June 2007
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The authors present transparent boundary conditions for Crank-Nicolson discretizations of the Schrödinger equation in one and two dimensions. The analysis is performed using a discrete Laplace transform. An energy inequality is used to prove stability of the method.
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transparent boundary condition
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Schrödinger equation
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Crank-Nicolson method
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Laplace transform
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stability
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