Free Access
RAIRO. Anal. numér.
Volume 13, Number 4, 1979
Page(s) 297 - 312
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]
  2. 2. D. R. ATTHEY, A finite Difference Scheme for Melting Problems, J. Inst. Math. Appl., Vol. 13, 1974, pp. 353-366. [MR: 351295]
  3. 3. J. R. BAILLON and B. MERCIER, Convergence of Approximations to Nonlinear Semigroups, École Polytechnique Internal Report Number 24, December 1977.
  4. 4. Ph. BENILAN, Equations d'évolution dans un espace de Banach quelconque et applications, Thèse, Publications Mathématiques d'Orsay, n° 25, 1972.
  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]
  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]
  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.
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]
  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]

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