Abstract
Discrete invariant imbedding is combined with frontracking to give a method for the numerical solution of free boundary problems in one dimension which requires only marginally more effort than that required to solve analogous problems with fixed boundaries.
Zusammenfassung
Die Kombination der Techniken zur invarianten Einbettung und zum Verfolgen der Front ergibt eine Methode für die numerische Lösung von Problemen mit freiem Rand in einer Dimension, die nur einen geringfügig höheren Aufwand als zur Lösung analoger Probleme mit festen Grenzen erfordert.
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References
Donnelly, J. D. P.: Discrete invariant imbedding applied to free boundary problems. Computing25, 351–361 (1980).
Rubinstein, L. I.: The Stefan Problem. (Translations of Mathematical Monographs, Vol. 27.) American Mathematical Society 1971.
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Donnelly, J.D.P. Discrete invariant imbedding and front-tracking. Computing 28, 181–188 (1982). https://doi.org/10.1007/BF02241822
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DOI: https://doi.org/10.1007/BF02241822