fl-UNPUBLISHED.bib

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@unpublished{LSU08,
  title = {{M}oving {F}rame {B}ased {S}trategies for
                  {R}eduction of {O}rdinary
                  {D}ifferential/{R}ecurrence {S}ystems using their
                  {E}xpanded {L}ie {P}oint {S}ymmetries.},
  author = {Fran{\c{c}}ois Lemaire and Alexandre Sedoglavic and
                  Asl{\i{}} {\"U}rg{\"u}pl{\"u}},
  abstract = {{W}hen an ordinary differential/recurrence system
                  presents a m-parameters solvable group of
                  symmetries, {L}ie group theory states that its
                  number of variables could be reduce by m. {T}his
                  reduction process is classically done by rewriting
                  original problem in an invariant coordinates set for
                  these symmetries. {W}e show how to use computational
                  strategies using non explicit (infinitesimal) data
                  representation in the reduction process and thus,
                  how to avoid-for differential systems-the explicit
                  expansive computation of these invariants. {T}hus,
                  these strategies lead to efficient algorithms that
                  were used in the maple implementation.},
  keywords = {{L}ie point symmetry. {R}eduction
                  process. {C}omputer {A}lgebra.},
  day = 21,
  month = 01,
  year = 2008,
  url = {http://hal.archives-ouvertes.fr/hal-00212331/en/},
  x-international-audience = {Yes},
  x-language = {EN}
}

@unpublished{BL08,
  author = {Fran{\c{c}}ois Boulier and Fran{\c{c}}ois Lemaire},
  title = {{A computer scientist point of view on Hilbert's
                  differential theorem of zeros}},
  note = {{Submitted to Applicable Algebra in Engineering,
                  Communication and Computing}},
  url = {http://hal.archives-ouvertes.fr/hal-00170091},
  year = 2007
}

@unpublished{LRZ06,
  author = {Fran{\c{c}}ois Lemaire and Greg Reid and Yang Zhang},
  title = {{Non-commutative Riquier theory in moving frames of
                  differential operators}},
  note = {{Submitted to the Journal of Computation and
                  Mathematics}},
  year = 2006
}