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Mathematical Modelling and Analysis Volume 10, 2005 - Issue 4
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Original Articles

Quadratic spline subdomain method for volterra integral equations

V. Deputat Institute of Applied Mathematics, University of Tartu, Estonia, Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]
,
P. Oja Institute of Applied Mathematics, University of Tartu, Estonia, Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]
&
D. Saveljeva Institute of Applied Mathematics, University of Tartu, Estonia, Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]
Pages 335-344 | Received 06 Jun 2005, Published online: 14 Oct 2010

References

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  • Hung , H. S. 1970 . The numerical solution of differential and integral equations by spline functions , MRC Tech. Report 1053 Madison : University of Wisconsin .
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  • Oja , P. 2001 . “ Stability of collocation by smooth splines for Volterra integral equations ” . In Mathematical methods for curves and surfaces, , Edited by: Lyche , T. and Schumaker , L. L. 405 – 412 . Nashville : Vanderbilt University Press, Oslo 2000 .
  • Oja , P. 2001 . Stability of the spline collocation method for Volterra integral equations . J. Integral Equations Appl , 13 : 141 – 155 .
  • Oja , P. and Saveljeva , D. 2002 . Cubic spline collocation for Volterra integral equations . Computing , 69 : 319 – 337 .
  • Oja , P. and Saveljeva , D. 2004 . Quadratic spline collocation for Volterra integral equations . Z Anal. Anwendungen , 23 : 833 – 854 .
  • Schumaker , L. 1981 . Spline functions: Basic theory , NY : Wiley .
  • Vainikko , G. 1976 . Funktionalanalysis der Diskretisierungsmethoden , Leipzig : Teubner .
  • Zabreiko , P. P. Koshelev , A. I. 1968 . Integral Equations , Moscow : Nauka . (in Russian)

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