Da. French et S. Jensen, LONG-TIME BEHAVIOR OF ARBITRARY ORDER CONTINUOUS-TIME GALERKIN SCHEMES FOR SOME ONE-DIMENSIONAL PHASE-TRANSITION PROBLEMS, IMA journal of numerical analysis, 14(3), 1994, pp. 421-442
The long-time behaviour of continuous time Galerkin (CTG) approximatio
ns of some well-known one-dimensional non-linear evolution problems wh
ich model phase transitions are analyzed. These numerical schemes are
fully discrete and of arbitrary order.