A note on the stability of θ -methods for Volterra integral equations of the second kind

Zdzisław Jackiewicz; Marian Kwapisz

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 3, page 349-354
  • ISSN: 0011-4642

How to cite

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Jackiewicz, Zdzisław, and Kwapisz, Marian. "A note on the stability of $\theta $-methods for Volterra integral equations of the second kind." Czechoslovak Mathematical Journal 34.3 (1984): 349-354. <http://eudml.org/doc/13458>.

@article{Jackiewicz1984,
author = {Jackiewicz, Zdzisław, Kwapisz, Marian},
journal = {Czechoslovak Mathematical Journal},
keywords = {theta method; Volterra integral equations of the second kind; stability analysis; test equation},
language = {eng},
number = {3},
pages = {349-354},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the stability of $\theta $-methods for Volterra integral equations of the second kind},
url = {http://eudml.org/doc/13458},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Jackiewicz, Zdzisław
AU - Kwapisz, Marian
TI - A note on the stability of $\theta $-methods for Volterra integral equations of the second kind
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 349
EP - 354
LA - eng
KW - theta method; Volterra integral equations of the second kind; stability analysis; test equation
UR - http://eudml.org/doc/13458
ER -

References

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  1. C. T. H. Baker, The Numerical Treatment of Integral Equatiors, Clarendon Press: Oxford 1977. (1977) MR0467215
  2. C. T. H. Baker M. S. Keech, 10.1137/0715025, SIAM J. Numer. Aral. 15, 394-417 (1978). (1978) MR0502101DOI10.1137/0715025
  3. C. T. H. Baker M. S. Keech, 10.1145/356502.356476, ACM Trans. Math. Software 4, 305-315 (1978). (1978) MR0513703DOI10.1145/356502.356476
  4. D. Kershaw, Volterra equations of the second kind. In: Numerical Solution of Volterra Equations, (Delves, Walsch, Eds). Clarendon Press: Oxford 1974. (1974) MR0478679
  5. D. I. Martinjuk, Lectures on qualitative theory of difference equations, (in Russian). Naukova Dumka: Kiev 1972. (1972) MR0611163

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