On approximate solutions of degenerate integrodifferential parabolic problems

Ladislav Matejíčka

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 1, page 91-103
  • ISSN: 0139-9918

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Matejíčka, Ladislav. "On approximate solutions of degenerate integrodifferential parabolic problems." Mathematica Slovaca 45.1 (1995): 91-103. <http://eudml.org/doc/34406>.

@article{Matejíčka1995,
author = {Matejíčka, Ladislav},
journal = {Mathematica Slovaca},
keywords = {diffusion problem; Volterra operator; weak solution; Rothe method; convergence; approximate elliptic equations},
language = {eng},
number = {1},
pages = {91-103},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On approximate solutions of degenerate integrodifferential parabolic problems},
url = {http://eudml.org/doc/34406},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Matejíčka, Ladislav
TI - On approximate solutions of degenerate integrodifferential parabolic problems
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 1
SP - 91
EP - 103
LA - eng
KW - diffusion problem; Volterra operator; weak solution; Rothe method; convergence; approximate elliptic equations
UR - http://eudml.org/doc/34406
ER -

References

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  3. GAJEWSKI H., GRÖGER K., ZACHARIAS K., Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademia-Verlag. Berlin, 1974. (1974) MR0636412
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  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.). Zbl0792.65070MR1249039
  11. KAČÚROVÁ M., Solution of porous medium type problems with nonlinear boundary conditions by linear approximation schemes, (To appear). 
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  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. (1987) MR0921832
  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. (1989) Zbl0738.65092MR1025097
  15. McLEAN W.-THOMEE V., Numerical solution of an evolution equation with a positive type memory term, J. Austral. Math. Soc. Ser. B (Submitted). Zbl0791.65105MR1225703
  16. SLODIČKA M., Application of Rothe's method to evolution integrodifferential systems, Comment. Math. Univ. Carolin. 30 (1989), 57-70. (1989) Zbl0674.65110MR0995701
  17. SLODIČKA M., On a numerical approach to nonlinear degenerate parabolic problems, Preprint, Comenius University, M6 (1992). (1992) 
  18. SLODIČKA M., Numerical solution of a parabolic equation with a weakly singular positive-type memory term, Preprint, Comenius University, M7 (1992). (1992) MR1447332

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