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Errors analysis for two methods approximating the classical Caginalp’s model

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dc.contributor.author MOROȘANU, Costică
dc.date.accessioned 2020-11-03T10:23:56Z
dc.date.available 2020-11-03T10:23:56Z
dc.date.issued 2018
dc.identifier.citation MOROȘANU, Costică. Errors analysis for two methods approximating the classical Caginalp’s model. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, p. 19-20. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11021
dc.description Only Abstract en_US
dc.description.abstract The paper concerns with the error analysis of two time-stepping schemes used in the discretization of the phase-field transition system with a classical regular potential (Caginalp’s model) and Neumann boundary conditions. Using energy methods, we establish L∞ error estimates for the implicit Euler and a fractional steps method. A numerical experiment validates the theoretical results, comparing the accuracy of the methods. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject thermodynamics en_US
dc.subject nonlinear partial differential equations of parabolic type en_US
dc.subject reaction-diffusion equations en_US
dc.subject finite difference methods en_US
dc.subject fractional steps method en_US
dc.subject Caginalp’s model en_US
dc.subject Neumann boundary conditions en_US
dc.subject phase-changes en_US
dc.subject numerical algorithms en_US
dc.title Errors analysis for two methods approximating the classical Caginalp’s model en_US
dc.type Article en_US


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