Abstract
Invariant imbedding offers an economical method of solving free boundary problems in one dimension. A discrete analogue turns out to be a new and economical form of an old method. Three problems illustrate its application. An examination of how the economy arises indicates the way the method can be extended to more than one dimension.
Zusammenfassung
Die invariante Einbettung erlaubt eine sparsame Methode zur Lösung eindimensionaler Probleme mit freiem Rand. Es stellt sich heraus, daß das diskrete Analogon eine neue und sparsame Variante einer älteren Methode liefert. Die Anwendung wird an drei Problemen demonstriert. Die Aufwandsanalyse zeigt Erweiterungsmöglichkeiten auf höhere Dimensionen.
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Donnelly, J.D.P. Discrete invariant imbedding applied to free boundary problems. Computing 25, 351–361 (1980). https://doi.org/10.1007/BF02285229
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DOI: https://doi.org/10.1007/BF02285229