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International Journal of Computer Mathematics Volume 80, 2003 - Issue 6
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Original Articles

The Potential Of Parallelism In The Computation Of Simple Turning Points For Boundary Value Problems

B. S. Attili Mathematics and Computer Department, College of Science, United Arab Emirates University, Al-Ain, UAE
&
D. J. Evans Faculty of Computing and Mathematics, Nottingham Trent University, Burton street, Nottingham, NG1 4BU, UK
Pages 781-788 | Published online: 15 Sep 2010

  • Ascher , U. and Chan , S. 1990 . On parallel methods for boundary value O.D.E's . Computing , 43 : 1 – 17 .
  • Attili , B. 1994 . Computation of generalized turning points using collocation at Gauss points . Annals of Numer. Math. , 1 : 53 – 62 .
  • Attili , B. 2001 . Efficient finite differences for parameter dependent singularities in two point boundary value problems . Comput. Meth. in Appli. Mechan. and Engin. , 190 : 5543 – 5549 .
  • Gear , C. 1986 . The potential of parallelism in ordinary differential equations , Tech. Rep. 86-1246 Computer Science Department, University of Illinois .
  • Gear , C. 1988 . Massive parallelism across the method in O.D.E's , Tech. Rep. 88-1442 Computer Science Department, University of Illinois .
  • Griewank , A. and Reddien , G. W. 1984 . Characterization and computation of generalized turning points . SIAM J. Numer. Anal. , 21 : 186 – 196 .
  • Khalaf , B. and Hutchinson , D. 1992 . Parallel algorithms for initial value problems: Parallel shooting . Parallel Computing , 18 : 661 – 673 .
  • Keller , H. B. 1977 . “ Numerical solution of bifurcation and nonlinear eigenvalue problems. ” . In Application of Bifurcation Theory , Edited by: Rabinowitz , P. H. 359 – 384 . New York : Academic Press .
  • Kupper , T. , Mittelmann , H. D. and Weber , H. , eds. 1984 . Numerical methods for bifurcation problems , Mathematics, 13 Boston, ISNM 70 : Birkhaser Verlag . (1984}
  • Spence , A. and Werner , B. 1982 . Non-simple turning points and cusps . IMA J. Numer. Anal. , 1 : 413 – 427 .
  • Stachgold , I. 1971 . Branching solution of nonlinear equations . SIAM Review , 13 : 238 – 332 .
  • Weber , H. 1979 . Numerical treatment of bifurcation problems for ordinary differential equations . Numer. Math. , 32 : 17 – 29 .

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