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Original Articles

Stability of the spline collocation method for second order Volterra integro‐differential equationsFootnote1

Pages 79-90 | Received 24 Oct 2003, Published online: 14 Oct 2010

References

  • Brunner , H. and Lambert , J. D. 1974 . Stability of numerical methods for Volterra integro‐differential equation . Computing , 12 : 75 – 89 .
  • Brunner , H. and van der Houwen , P.J. 1986 . The Numerical Solution of Volterra Equations , Vol. 3 , North‐Holland, Amsterdam : CWI Monographs .
  • Hung , H.‐S. 1970 . The numerical solution of differential and integral equations by spline functions
  • Oja , P. 2001 . Stability of collocation by smooth splines for Volterra integral equations . Proceedings of the Internal. Conf. on Mathemathical Methods for Curves and Curfaces (Oslo 2000) . 2001 . pp. 405 – 412 .
  • Oja , P. 2001 . Stability of the spline collocation method for Volterra integral equations . J. Integral Equations Appl , 13 : 141 – 155 .
  • Oja , P. and Tarang , M. 2001 . Stability of piecewise polynomial collocation for Volterra integro‐differential equations . Mathematical Modelling and Analysis, 6 , : 310 – 320 .
  • Oja , P. and Tarang , M. 2002 . Stability of the spline collocation method for Volterra integro‐differential equations . Commentation.es Universitatis Tartuensis de Mathematica , 6 : 37 – 49 .
  • Research supported by the Estonian Science Foundation Grant No.5260

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