Geodesic
On approximate solutions of degenerate integrodifferential parabolic problems
Mathematica slovaca, Tome 45 (1995) no. 1, pp. 91-103
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Classification : 45G10, 45K05, 45L05 
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     url = {http://geodesic.mathdoc.fr/item/MASLO_1995_45_1_a10/}
}
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Matejíčka, Ladislav. On approximate solutions of degenerate integrodifferential parabolic problems. Mathematica slovaca, Tome 45 (1995) no. 1, pp. 91-103. http://geodesic.mathdoc.fr/item/MASLO_1995_45_1_a10/

[1] AMIEZ G., GREMAUD P. A.: On a numerical approach to Stefan-like problems. Numer. Math. 59 (1991), 71-89. | MR | Zbl

[2] BERGER A. E., BREZIS H., ROGERS J. C. W.: A numerical method for solving the problem $\partial_t u(t) - \Delta f(u(t)) = 0$. RAIRO Modél. Math. Anal. Numér. 13 (1979), 297-312. | MR

[3] GAJEWSKI H., GRÖGER K., ZACHARIAS K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen. Akademia-Verlag. Berlin, 1974. | MR

[4] CHEN C., THOMÉE V., WAHLBIN L. B.: Finite element approximation of a parabolic integrodifferential equation with a weakly singular kernel. Math. Comp. 58 (1992), 587-602. | MR

[5] JEROME J. W., ROSE M. E.: Error estimates for the multidimensional two-phase Stefan Problem. Math. Comp. 39 (1982), 377-414. | MR | Zbl

[6] JÄGER W., KAČÚR J.: Approximation of porous medium type systems by non degenerate elliptic systems. Preprint, Universität Heilderberg, SFB 123 (1990).

[7] JÄGER W., KAČÚR J.: Solution of porous medium type systems by linear approximation schemes. Numer. Math. 60 (1991), 407-427. | MR | Zbl

[8] KAČÚR J.: Method of Rothe in Evolution Equations. BSB Teubner Verlag, Leipzig, 1985. | MR | Zbl

[9] KAČÚR J.: Application of Rothe's method to evolution integrodifferential equations. J. Reine Angew. Math. 388 (1988), 73-105. | MR | Zbl

[10] KAČÚR J.-HANDLOVIČOVÁ A.-KAČÚROVÁ M.: Solution of nonlinear diffusion problems by linear approximation schemes. Preprint, Comenius University, Bratislava (Accepted to SIAM J. Numer. Anal.). | MR | Zbl

[11] KAČÚROVÁ M.: Solution of porous medium type problems with nonlinear boundary conditions by linear approximation schemes. (To appear).

[12] MacCAMY R. C.-WONG J. S. W.: Stability theorems for some functional equations. Trans. Amer. Math. Soc. 164 (1972), 1-37. | MR | Zbl

[13] MAGENES E.-NOCHETTO R. H.- VERDI C.: Energy error estimates for a linear scheme to approximate nonlinear parabolic equations. RAIRO Model. Math. Anal. Numer. 21 (1987), 655-678. | MR

[14] MAGENES E.-VERDI C.-VISINTIN A.: Theoretical and numerical results on the two-phase Stefan problem. SIAM J. Numer. Anal. 26 (1989), 1425-1438. | MR | Zbl

[15] McLEAN W.-THOMEE V.: Numerical solution of an evolution equation with a positive type memory term. J. Austral. Math. Soc. Ser. B (Submitted). | MR | Zbl

[16] SLODIČKA M.: Application of Rothe's method to evolution integrodifferential systems. Comment. Math. Univ. Carolin. 30 (1989), 57-70. | MR | Zbl

[17] SLODIČKA M.: On a numerical approach to nonlinear degenerate parabolic problems. Preprint, Comenius University, M6 (1992).

[18] SLODIČKA M.: Numerical solution of a parabolic equation with a weakly singular positive-type memory term. Preprint, Comenius University, M7 (1992). | MR