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September  2006, 5(3): 659-673. doi: 10.3934/cpaa.2006.5.659

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

Ulisse Stefanelli 1,

1. 

Istituto di Matematica Applicata e Tecnologie Informatiche - CNR, via Ferrata 1, 27100 Pavia, Italy

Received  March 2005 Revised  January 2006 Published  June 2006

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.
Keywords: time discretization., microscopic movements, phase transitions.
Mathematics Subject Classification: Primary: 80A22; Secondary: 35K55, 65M1.
Citation: Ulisse Stefanelli. Analysis of a variable time-step discretization for a phase transition model with micro-movements. Communications on Pure & Applied Analysis, 2006, 5 (3) : 659-673. doi: 10.3934/cpaa.2006.5.659
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