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SM ISO690:2012 , , STOLERIU, Iulian. An adaptive time step method for a non-local version of the Allen-Cahn equation. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 47. |
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Conference on Applied and Industrial Mathematics Ediţia 30, 2023 |
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Conferința "Conference on Applied and Industrial Mathematics" 30, Chişinău, Moldova, 14-17 septembrie 2023 | ||||||
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Pag. 47-47 | ||||||
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In this paper, we propose an efficient adaptive time step method for a non-local version of the Allen-Cahn equation. The non-local model was introduced as an alternative model for phase transitions in solids. This model becomes very useful when the transition process operates at very small length scales, case in which its local correspondent could not be applied. Some computational experiments are made to illustrate the effectiveness of the proposed method, with the goal of saving the calculation costs. |
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