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IMA Journal of Numerical Analysis 2001 21(3):667-701; doi:10.1093/imanum/21.3.667
© 2001 by Institute of Mathematics and its Applications
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Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension

Vanessa Styles1

1 Centre for Mathematical Analysis and its Applications, School of Mathematical Sciences, University of Sussex, Brighton BN1 9QH, UK

Error estimates for a semi-implicit finite-difference approximation of a mean field model of superconducting vortices are obtained. The L{infty}(L1) error between the approximate and the exact superconducting vortex density of the model is of order h1/3.


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