  We present a new Vlasov code for collisionless plasmas in the nonrelativistic
regime. A Darwin approximation is used for suppressing electromagnetic vacuum
modes. The spatial integration is based on an extension of the
flux-conservative scheme, introduced by Filbet et al. [J. Comp. Phys. Vol. 172
(2001) 166]. Performance and accuracy is demonstrated by comparing it to a
standard finite differences scheme for two test cases, including a Harris sheet
magnetic reconnection scenario. This comparison suggests that the presented
scheme is a promising alternative to finite difference schemes.
