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Original Articles

Stability of piecewise polynomial collocation for Volterra integro‐differential equationsFootnote1

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Pages 310-320 | Received 27 Sep 2001, Published online: 14 Oct 2010

References

  • Brunner , H. and van , P. J. 1986 . der Houwen. The numerical solution of Volterra equations North‐Holland, Amsterdam
  • Brunner , H. and Lambert , J. D. 1974 . Stability of numerical methods for Volterra integro‐differential equation . Computing , 12 : 75 – 89 .
  • Danciu , I. 1997 . Numerical stability of collocation methods for Volterra integro‐differential equations . Rev. Anal. Numér. Théorie Approximation , 26 (1–2) : 59 – 74 .
  • ‐S , H. 1970 . Hung. The numerical solution of differential and integral equations by spline functions , MRC Tech. report 1053 Madison : University of Wisconsin .
  • Oja , P. 2001 . Stability of the spline collocation method for Volterra integral equations . J. Integral Equations Appl. , 13 (2)
  • Oja. , P. 2000 . Stability of collocation by smooth splines for Volterra integral equations . Proc. of the Intern. Conference . 2000 , Oslo. pp. 405 – 412 . Mathemathical methods for curves and surfaces, 2001
  • Research supported by the Estonian Science Foundation Grant No. 3926.

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