Error analysis for implicit approximations to solutions to Cauchy problems

SIAM Journal on Numerical Analysis

Volumn 33, Issue 1, 1996, Pages 68-87

  Rulla, Jim ^a  

^a LYON COLLEGE   (United States)

Author keywords

Error estimates; Implicit scheme; Porous medium problem; Semigroup; Stefan problem

Indexed keywords

EID: 0001779231     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733005     Document Type: Article

References (6)

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2. _, Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, North-Holland, Amsterdam, 1973.
3. M. G. CRANDALL AND T. M. LIGGETT, Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), pp. 265-298.
4. J. RULLA AND N. WALKINGTON, Optimal rates of convergence for degenerate parabolic problems in two dimensions, SIAM J. Numer. Anal., 33 (1996), pp. 56-67.
5. R. E. SHOWALTER, Mathematical formulation of the Stefan problem, Internat. J. Engrg. Sci., 20 (1982), pp. 909-912.
6. K. YOSIDA, Functional Analysis, Springer-Verlag, Berlin, 1980.