Abstract
We analyze the numerical stability of a factorization algorithm given in [2] in order to solve free boundary value problems for linear parabolic operators, using essentially results on stability of nonlinear computing schemes given in [3] as well as on stable factorization processes for boundary value problems for linear ordinary differential equations as given in [1].
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Literatur
BABUSKA,I.,PRAGER,M.,VITASEK,E.: Numerical processes in differential equations. Interscience (1966)
MEYER, G.H.: On a free interface problem for linear ordinary differential equations and the one-phase Stefan problem. Num.Math. 16, 248–267 (1970)
TUCKER, T.S.: Stability of nonlinear computing schemes. SIAM J. Numer. Anal. 6, 72–81 (1969)
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© 1974 Springer-Verlag
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Sachs, A. (1974). Zur Struktur eines Algorithmus zur Lösung freier Randwertprobleme parabolischer Differentialoperatoren. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060674
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DOI: https://doi.org/10.1007/BFb0060674
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