| Title:
|
On approximate solutions of degenerate integrodifferential parabolic problems (English) |
| Author:
|
Matejíčka, Ladislav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
91-103 |
| . |
| Category:
|
math |
| . |
| MSC:
|
45G10 |
| MSC:
|
45K05 |
| MSC:
|
45L05 |
| idZBL:
|
Zbl 0832.45007 |
| idMR:
|
MR1335844 |
| . |
| Date available:
|
2009-09-25T11:04:47Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136638 |
| . |
| Reference:
|
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| Reference:
|
[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 0555381 |
| Reference:
|
[3] GAJEWSKI H., GRÖGER K., ZACHARIAS K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Akademia-Verlag. Berlin, 1974. MR 0636412 |
| Reference:
|
[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 1122059 |
| Reference:
|
[5] JEROME J. W., ROSE M. E.: Error estimates for the multidimensional two-phase Stefan Problem.Math. Comp. 39 (1982), 377-414. Zbl 0505.65060, MR 0669635 |
| Reference:
|
[6] JÄGER W., KAČÚR J.: Approximation of porous medium type systems by non degenerate elliptic systems.Preprint, Universität Heilderberg, SFB 123 (1990). |
| Reference:
|
[7] JÄGER W., KAČÚR J.: Solution of porous medium type systems by linear approximation schemes.Numer. Math. 60 (1991), 407-427. Zbl 0744.65060, MR 1137200 |
| Reference:
|
[8] KAČÚR J.: Method of Rothe in Evolution Equations.BSB Teubner Verlag, Leipzig, 1985. Zbl 0582.65084, MR 0834176 |
| Reference:
|
[9] KAČÚR J.: Application of Rothe's method to evolution integrodifferential equations.J. Reine Angew. Math. 388 (1988), 73-105. Zbl 0638.65098, MR 0944184 |
| Reference:
|
[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.). Zbl 0792.65070, MR 1249039 |
| Reference:
|
[11] KAČÚROVÁ M.: Solution of porous medium type problems with nonlinear boundary conditions by linear approximation schemes.(To appear). |
| Reference:
|
[12] MacCAMY R. C.-WONG J. S. W.: Stability theorems for some functional equations.Trans. Amer. Math. Soc. 164 (1972), 1-37. Zbl 0274.45012, MR 0293355 |
| Reference:
|
[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 0921832 |
| Reference:
|
[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. Zbl 0738.65092, MR 1025097 |
| Reference:
|
[15] McLEAN W.-THOMEE V.: Numerical solution of an evolution equation with a positive type memory term.J. Austral. Math. Soc. Ser. B (Submitted). Zbl 0791.65105, MR 1225703 |
| Reference:
|
[16] SLODIČKA M.: Application of Rothe's method to evolution integrodifferential systems.Comment. Math. Univ. Carolin. 30 (1989), 57-70. Zbl 0674.65110, MR 0995701 |
| Reference:
|
[17] SLODIČKA M.: On a numerical approach to nonlinear degenerate parabolic problems.Preprint, Comenius University, M6 (1992). |
| Reference:
|
[18] SLODIČKA M.: Numerical solution of a parabolic equation with a weakly singular positive-type memory term.Preprint, Comenius University, M7 (1992). MR 1447332 |
| . |
