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@article {bihlo,
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  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
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}


@article {biblio2,
    AUTHOR = {Bihlo, Alexander},
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  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
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}

@article {biblio4,
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}

@article {BCGW,
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}

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     TITLE = {Applications of {L}ie groups to difference equations},
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 PUBLISHER = {CRC Press},
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@article {DKKW,
    AUTHOR = {Dorodnitsyn, V. and Kaptsov, E. and Kozlov, R. and Winternitz,
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   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {48},
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    EPRINT = {1311.1597},
}

@article {DoKo,
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}

@article {DKW,
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     TITLE = {Painlev\'e equations, continuous, discrete and ultradiscrete},
 BOOKTITLE = {Symmetries and Integrability of Difference Equations (Universit{\'e} de Montr{\'e}al, Montr{\'e}al, QC, June 8--21, 2008)},
    EDITOR = {Levi, D. and Olver, P. J. and Thomova, Z. and Winternitz, P.},
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    VOLUME = {381},
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 PUBLISHER = {Cambridge University Press},
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@article {grant,
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   JOURNAL = {LMS~J. Comput. Math.},
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    VOLUME = {18},
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       URL = {http://dx.doi.org/10.1112/S1461157015000078},
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@book {geo1,
    AUTHOR = {Hairer, Ernst and Lubich, Christian and Wanner, Gerhard},
     TITLE = {Geometric numerical integration. Structure-preserving algorithms for ordinary differential
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@book {h14,
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@book {geo2,
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@article {3,
    AUTHOR = {Levi, D. and Martina, L. and Winternitz, P.},
     TITLE = {Lie-point symmetries of the discrete {L}iouville equation},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {48},
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       URL = {http://dx.doi.org/10.1088/1751-8113/48/2/025204},
    EPRINT = {1407.4043},
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@book {LOTW,
    EDITOR = {Levi, Decio and Olver, Peter J. and Thomova, Zora and Winternitz, Pavel},
     TITLE = {Symmetries and integrability of difference equations},
    SERIES = {London Mathematical Society Lecture Note Series},
    VOLUME = {381},
 PUBLISHER = {Cambridge University Press},
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@article {LeRo,
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     TITLE = {Construction of partial difference schemes: {I}.~{T}he
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@mics {LeRo1,
    AUTHOR = {Levi, Decio and Rodr{\'{\i}}guez, Miguel A.},
     TITLE = {On the construction of partial difference schemes: II.~Discrete variables and invariant schemes},
    EPRINT = {1407.0838},
}

@article {7,
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     TITLE = {Lie group formalism for difference equations},
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@article {14,
    AUTHOR = {Levi, Decio and Winternitz, Pavel},
     TITLE = {Continuous symmetries of difference equations},
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@article {LWY2002,
    AUTHOR = {Levi, D. and Winternitz, P. and Yamilov, R. I.},
     TITLE = {Lie point symmetries of differential-difference equations},
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}

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@article {4,
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@article {6,
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@book {Olver,
    AUTHOR = {Olver, Peter J.},
     TITLE = {Applications of {L}ie groups to differential equations},
    SERIES = {Graduate Texts in Mathematics},
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@article {ReVa,
    AUTHOR = {Rebelo, Rapha{\"e}l and Valiquette, Francis},
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@article {2,
    AUTHOR = {Rebelo, Rapha{\"e}l and Valiquette, Francis},
     TITLE = {Invariant discretization of partial differential equations
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@article {RebW,
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     TITLE = {Invariant difference schemes and their application to {${\rm
              sl}(2,{\mathbb R})$} invariant ordinary differential equations},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
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    EPRINT = {0906.2980},
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@article {RW,
    AUTHOR = {Rodr{\'{\i}}guez, M. A. and Winternitz, P.},
     TITLE = {Lie symmetries and exact solutions of first-order difference
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   JOURNAL = {J.~Phys.~A: Math. Gen.},
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@article {VaWi,
    AUTHOR = {Valiquette, F. and Winternitz, P.},
     TITLE = {Discretization of partial differential equations preserving
              their physical symmetries},
   JOURNAL = {J.~Phys.~A: Math. Gen.},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {38},
      YEAR = {2005},
    NUMBER = {45},
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       URL = {http://dx.doi.org/10.1088/0305-4470/38/45/004},
    EPRINT = {math-ph/0507061},
}

@incollection {15,
    AUTHOR = {Winternitz, P.},
     TITLE = {Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations},
 BOOKTITLE = {Symmetries and Integrability of Difference Equations (Universit{\'e} de Montr{\'e}al, Montr{\'e}al, QC, June 8--21, 2008)},
    EDITOR = {Levi, D. and Olver, P. J. and Thomova, Z. and Winternitz, P.},
    SERIES = {London Mathematical Society Lecture Note Series},
    VOLUME = {381},
     PAGES = {292--341},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2011},
       URL = {http://dx.doi.org/10.1017/CBO9780511997136.013},
}
