Modelling the molecular Zeeman-effect in M-dwarfs: methods and first resultsD. Shulyak, A. Reiners, S. Wende, O. Kochukhov, N. Piskunov and A. SeifahrtA&A, 523 (2010) A37DOI: https://doi.org/10.1051/0004-6361/201015229