Theory and numerical approximations for a nonlinear 1 + 1 Dirac system (Q2842468)
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scientific article; zbMATH DE number 6198343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory and numerical approximations for a nonlinear 1 + 1 Dirac system |
scientific article; zbMATH DE number 6198343 |
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Theory and numerical approximations for a nonlinear 1 + 1 Dirac system (English)
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14 August 2013
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implicit-explicit finite difference method
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error estimates
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nonlinear Dirac system
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A nonlinear Dirac system in one space dimension with periodic boundary conditions is considered and the existence and uniqueness of the solution is examined. An implicit-explicit finite difference method for its approximation, proving optimal order a priori error estimates in various discrete norms, is proposed. Two representative numerical experiments are used to show the performance of the proposed method.
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