Convergence of cubature-differences method for multidimensional singular integro-differential equations

A. I. Fedotov

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 2, page 181-191
  • ISSN: 0044-8753

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Fedotov, A. I.. "Convergence of cubature-differences method for multidimensional singular integro-differential equations." Archivum Mathematicum 040.2 (2004): 181-191. <http://eudml.org/doc/249288>.

@article{Fedotov2004,
author = {Fedotov, A. I.},
journal = {Archivum Mathematicum},
keywords = {integro-differential equations},
language = {eng},
number = {2},
pages = {181-191},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Convergence of cubature-differences method for multidimensional singular integro-differential equations},
url = {http://eudml.org/doc/249288},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Fedotov, A. I.
TI - Convergence of cubature-differences method for multidimensional singular integro-differential equations
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 2
SP - 181
EP - 191
LA - eng
KW - integro-differential equations
UR - http://eudml.org/doc/249288
ER -

References

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  1. Fedotov A. I., On convergence of quadrature-differences method for linear singular integrodifferential equations, Zh. Vychisl. Mat. Mat. Fiz. 29 (1989), No. 9, 1301–1307 (in Russian). (1989) MR1018581
  2. Fedotov A. I., On convergence of quadrature-differences method for one class of singular integro-differential equations, Izv. Vyssh. Uchebn. Zaved. Mat. (1989), No. 8, 64–68 (in Russian). (1989) MR1039732
  3. Fedotov A. I., On convergence of quadrature-differences method for linear singular integrodifferential equations with discontinuous coefficients, Zh. Vychisl. Mat. Mat. Fiz. 31 (1991), No. 2, 261–271 (in Russian). (1991) MR1099589
  4. Fedotov A. I., On convergence of quadrature-differences method for nonlinear singular integrodifferential equations, Zh. Vychisl. Mat. Mat. Fiz. 31 (1991), No. 5, 781–787 (in Russian). (1991) MR1120019
  5. Fedotov A. I., On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations, Arch. Math. (Brno) 38 (2002), No. 1, 1–13. Zbl1087.65109MR1899563
  6. Gabdulkhaev B. G., On one direct method for solving integral equations, Izv. Vyssh. Uchebn. Zaved. Mat. (1965), No. 3, 51–60 (in Russian). (1965) MR0191120
  7. Gakhov F. D., Boundary Value Problems, Pergamon Press, Oxford, England 1966. (1966) Zbl0141.08001MR0198152
  8. John F., Partial differential equations, 4th ed., Springer-Verlag, New York 1981. (1981) Zbl0497.35062
  9. Muskhelishvili N. I., Singular integral equations, Noordhoff, Groningen, Holland 1953. (1953) Zbl0051.33203MR0355494
  10. Taylor M. E., Pseudodifferential operators, Princeton University Press, Princeton 1981. (1981) Zbl0453.47026MR0618463
  11. Vainikko G. M., The compact approximation of the operators and the approximate solution of the equations, Tartu University Press, Tartu 1970 (in Russian). (1970) MR0273475
  12. Vainikko G. M., Tamme E. E., Convergence of the differences method in a problem of periodic solutions of elliptical type equations, coefficients, Zh. Vychisl. Mat. Mat. Fiz. 16 (1976), No. 3, 261–271 (in Russian). (1976) MR0416061

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