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Zur Struktur eines Algorithmus zur Lösung freier Randwertprobleme parabolischer Differentialoperatoren

II. Numerische Behandlung Von Randwertaufgaben

Part of the Lecture Notes in Mathematics book series (LNM,volume 395)

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

  1. BABUSKA,I.,PRAGER,M.,VITASEK,E.: Numerical processes in differential equations. Interscience (1966)

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  2. 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)

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  3. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06832-7

  • Online ISBN: 978-3-540-37771-9

  • eBook Packages: Springer Book Archive