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Original Articles

Improved implementations of adaptive algorithms in collocation for boundary value problems

Pages 267-275 | Received 14 Jul 1995, Accepted 20 Aug 1996, Published online: 19 Mar 2007

References

  • Wright , K. , Ahmed , A.H. and Seleman , A.H. 1991 . Mesh Selection i Collocation for boundary value problems . SIM A J. Num. Anal , 11 : 7 – 20 .
  • Ahmed , A. and Wright , K. 1985 . Further asymptotic properties of collocation matrix norms . SIMA J. Num. Anal , 5
  • Ahmed , A. and Wright , K. 1986 . Error estimations for collocation solution of linear ordinary differential equations . Comp. & Math, with Appl , 12B : 1053 – 1059 .
  • De Boor , C. and Swartz , B. 1973 . Collocation at Gaussian points . SIAM J. Num. Anal , 10 : 582 – 606 .
  • De Coor , C. . Good approximation by splines with variable knots II . Conference on the numerical solution of differential equations . Edited by: Watson , G.A. pp. 12 – 20 . New York : Springer-Verlag .
  • Ascher , U. , Christiansen , J. and Russell , R.D. 1979 . A collocation code for boundary value problems in ordinary differential equations , Edited by: Childs , B. 164 – 185 . New York : Springer-Verlag . “COLSYS”
  • Ahmed , A. 1981 . “ Collocation algorithms for approximate solutions of ordinary differential equation ” . In PHD thesis , University of New Castle upon type .
  • Russell , R.D. and Christiansen , J. 1978 . Adaptive mesh selection strategies for solving boundary value problems . SIAM J. Nu. Anal , 15 : 59 – 80 .

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