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All issues Volume 13 / No 4 (1979) RAIRO. Anal. numér., 13 4 (1979) 297-312 References
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RAIRO. Anal. numér.
Volume 13, Number 4, 1979
Page(s) 297 - 312
DOI https://doi.org/10.1051/m2an/1979130402971
Published online 01 February 2017
  1. 1. D. G. ARONSON, Regularity Properties of Flows through Porous Media, S.I.A.M., J. Appl. Math., Vol. 17, 1969, pp. 461-467. [MR: 247303] [Zbl: 0187.03401] [Google Scholar]
  2. 2. D. R. ATTHEY, A finite Difference Scheme for Melting Problems, J. Inst. Math. Appl., Vol. 13, 1974, pp. 353-366. [MR: 351295] [Google Scholar]
  3. 3. J. R. BAILLON and B. MERCIER, Convergence of Approximations to Nonlinear Semigroups, École Polytechnique Internal Report Number 24, December 1977. [Google Scholar]
  4. 4. Ph. BENILAN, Equations d'évolution dans un espace de Banach quelconque et applications, Thèse, Publications Mathématiques d'Orsay, n° 25, 1972. [Google Scholar]
  5. 5. A. E. BERGER, The Truncation Method for the Solution of a Class of Variational Inequalities, R.A.I.R.O., Analyse Numérique, Vol. 10, 1976, pp. 29-42. [EuDML: 193273] [MR: 455489] [Zbl: 0334.49012] [Google Scholar]
  6. 6. A. E. BERGER,M. CIMENT and J. C. W. ROGERS, Numerical Solution of a Diffusion Consumption Problem with a Free Boundary, S.I.A.M. J. Numer. Anal., Vol. 12, 1975, pp. 646-672. [MR: 383779] [Zbl: 0317.65032] [Google Scholar]
  7. 7. A. E. BERGER,M. CIMENT and J. C. W. ROGERS, Numerical Solution of a Stefan Problem by a Technique of Alternating Phase Truncation, Séminaires IRIA, Analyse et contrôle des systèmes, Rocquencourt, Institut de Recherche d'Informatique et d'automatique, 1976, pp. 21-34. [Google Scholar]
  8. 8. A. E. BERGER and R. S. FALK, An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities, Math. Comp., Vol. 31, 1977 pp. 619-628. [MR: 438707] [Zbl: 0367.65056] [Google Scholar]
  9. 9. H. BREZIS, On Some Degenerate Nonlinear Parabolic Equations, Nonlinear Functional Analysis, F. BROWDER, Ed., Proc. Symp. in pure math., Vol. 18, A.M.S., 1970, pp. 28-38. [MR: 273468] [Zbl: 0231.47034] [Google Scholar]
  10. 10. H. BREZIS and A. PAZY, Convergence and Approximation of Semigroups of Nonlinear Operators in Banach Spaces, J. Func. Anal., Vol. 9, 1972, pp. 63-74. [MR: 293452] [Zbl: 0231.47036] [Google Scholar]
  11. 11. H. BREZIS and W. A. STRAUSS, Semi-linear second-order elliptic equations in $L^1$ , J. Math. Soc. Japan, Vol. 25, 1973, pp. 565-590. [MR: 336050] [Zbl: 0278.35041] [Google Scholar]
  12. 12. M. G. CRANDALL, An Introduction to Evolution Governed by Accretive Operators, Dynamical systems vol. 1, Proc. of the Int. Symp. on Dyn. Sys. at Brown U. August 12-16, 1974, L. CESARI, J. K. HALE and J. P. LASALLE, Eds, New York, Academic Press, 1976, pp. 131-165. [MR: 636953] [Zbl: 0339.35049] [Google Scholar]
  13. 13. M. G. CRANDALL, Semigroups of Nonlinear Transformations in Banach Spaces, Contributions to nonlinear Functional Analysis, E. ZARANTONELLO, Ed., New York, Academic Press, 1971, pp. 157-179. [MR: 470787] [Zbl: 0268.47066] [Google Scholar]
  14. 14. M. G. CRANDALL and T. M. LIGGETT, Generation of Semi-groups of Nonlinear Transformations on General Banach Spaces, Amer. J. Math., Vol. 93, 1971, pp. 265-298. [MR: 287357] [Zbl: 0226.47038] [Google Scholar]
  15. 15. A. DAMLAMIAN, Some Results on the Multi-phase Stefan Problem, Comm. on P.D.E., Vol. 2, 1977, pp. 1017-1044. [MR: 487015] [Zbl: 0399.35054] [Google Scholar]
  16. 16. J. DOUGLAS Jr. and T. DUPONT, Alternating-Direction Galerkin Methods on Rectangles, Numerical Solution of Partial Differential Equations-II, SYNSPADE 1970, B. HUBBARD, Ed., New York, Academic press, 1971, pp. 133-214. [MR: 273830] [Zbl: 0239.65088] [Google Scholar]
  17. 17. B. H. GILDING and L. A. PELETIER, On a Class of Similarity Solutions of the Porous Media Equation, J. Math. Anal. Appl., Vol. 55, 1976, pp. 351-364. [MR: 436751] [Zbl: 0356.35049] [Google Scholar]
  18. 18.B. H. GILDING and L. A. PELETIER, On a Class of Similarity Solutions of the Porous Media Equation II, J. Math. Anal. Appl., Vol. 57, 1977, pp. 522-538. [MR: 436752] [Zbl: 0365.35029] [Google Scholar]
  19. 19. D. W. PEACEMAN and H. H. RACHFORD Jr., The Numerical Solution of Parabolic and Elliptic Differential Equations, J. Soc. Indust. Appl. Math., Vol. 3, 1955, pp. 28-41. [MR: 71874] [Zbl: 0067.35801] [Google Scholar]
  20. 20. J. C. W. ROGERS,A. E. BERGER and M. CIMENT, The Alternating Phase Truncation Method for Numerical Solution of a Stefan Problem, to appear in S.I.A.M. J. Num. Anal. [Zbl: 0418.65051] [Google Scholar]
  21. 21. M. ROSE, A Method for Calculating Solutions of Parabolic Equations with a Free Boundary, Math. Comp., Vol. 14, 1960, pp. 249-256. [MR: 115283] [Zbl: 0096.10102] [Google Scholar]

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