13
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Parallel integration of odes by vector field decompositions

Pages 43-58 | Received 21 Jan 1992, Published online: 19 Mar 2007

References

  • Ablowitz , M. and Segur , H. 1981 . Solitons and the Inverse Scattering Transform , Philadelphia : SIAM .
  • Abraham , R. and Marsden , J. 1978 . Foundation of Mechanics , New York : Benjamin-Cummings .
  • Berkovitz , L. 1975 . Optimal Control Theory , Springer-Verlag .
  • Bluman , G. and Kumei , S. 1989 . Symmetries and Differential Equations , Springer-Verlag .
  • Boglaev , Yu. 1983 . Block representations of operators and parallel computations in boundary value problems for second-order linear equations . AMS Soviet Math. Dokl. , 28 : 57 – 60 .
  • Gear C. The potential for parallelism in ordinary differential equations Univ. of Illinois 1986 rep. NO. UIUCDCS-R-86-1246
  • Gear C. Parallel methods for ordinary differential equations Univ. of Illinois 1987 rep. NO. UIUCDCS-R-87-1369
  • Henon , M. and Heiles , C. 1964 . The applicability of the third integral of motion: some numerical experiments . Astronomical Jour. , 69 : 73 – 79 .
  • Li-Shan , Kang and Evans , D. J. 1990 . Strategies of domain decomposition for the design of parallel algorithms . Intern. J. Computer Math. , 32 : 123 – 126 .
  • Lichtenberg , A. and Lieberman , M. 1968 . Regular and Stochastic Motion , New York : Springer-Verlag .
  • Moser , J. 1968 . Lectures on Hamiltonian Systems , New York : Courant Ins. of Math. Sc. .
  • Olver , P. 1986 . Applications of Lie Groups to Differential Equations , Springer-Verlag .
  • Stoker , J. 1956 . Nonlinear Vibrations , New York : Interscience .
  • Whittaker , E. 1964 . A Treatise on Analytical Dynamics of Particles and Rigid Bodies , Cambridge : Cambridge Univ. Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.