Time-compact scheme for the one-dimensional Dirac equation (Q1677735)
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scientific article; zbMATH DE number 6806303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Time-compact scheme for the one-dimensional Dirac equation |
scientific article; zbMATH DE number 6806303 |
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Time-compact scheme for the one-dimensional Dirac equation (English)
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13 November 2017
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Summary: Based on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. This time-compact scheme is proved to satisfy the conservation of discrete charge and is unconditionally stable. The time-compact scheme is of fourth-order accuracy in time and spectral order accuracy in space. Numerical examples are given to test our results.
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Lie-algebra
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Dirac equation
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0.8871511
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0.8866823
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0.8846122
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0.8814751
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0.87600654
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0.8747933
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