[en] Progress in the development of implicit-moment methods for plasma simulation on magnetohydrodynamic time scales is described. The objective of the development is a method that is applicable not only to transport phenomena on long time scales, but also to plasma interactions with a wall and sheath formation. The implicit field equations for a plasma in a dc magnetic field are given, and a method is described for their solution. An adaptive grid formulation is outlined, and a problem initialization presented to illustrate its application. The issue of nonlinear stability, which is still unresolved, is reviewed. 23 refs., 3 figs