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Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems
Authors:FRENCH  DONALD A; JENSEN  SOREN
Institution: Department of Mathematical Sciences, University of Cincinnati Cincinnati, OH 45221-0025, USA
Department of Mathematics and Statistics, University of Maryland Baltimore, MD 21228-5398, USA
Abstract:The long-time behaviour of continuous time Galerkin (CTG) approximationsof some well-known one-dimensional non-linear evolution problemswhich model phase transitions are analyzed. These numericalschemes are fully discrete and of arbitrary order. {dagger} Partially supported by the Army Research Office through grant28535-MA. {ddagger} Partially supported by the ONR Contract No N00014-90-J-1238.
Keywords:
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