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Analysis of a variable time-step discretization for a phase transition model with micro-movements

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  • This note deals with a semi-implicit time discretization with variable time-step of a phase transition model taking into account the microscopic movements of molecules. In particular, we focus on the study of an unconditionally stable and convergent approximation. Moreover, an a priori estimate for the discretization error is established.
    Mathematics Subject Classification: Primary: 80A22; Secondary: 35K55, 65M15.


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