Split-step spectral schemes for nonlinear dirac systems

The paper considers split-step spectral schemes for the numerical integration of nonlinear Dirac systems in [1 + 1]-dimensions. Proofs of stability and convergence are given along with numerical experiments which clearly show the superiority of the suggested methods over standard and split-step fini...

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Bibliographic Details
Published in:Journal of computational physics 1989-08, Vol.83 (2), p.407-423
Main Authors: de Frutos, J, Sanz-Serna, J.M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
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Summary:The paper considers split-step spectral schemes for the numerical integration of nonlinear Dirac systems in [1 + 1]-dimensions. Proofs of stability and convergence are given along with numerical experiments which clearly show the superiority of the suggested methods over standard and split-step finite-difference algorithms.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(89)90127-7