Prohlížení dle autora "Levi , Decio"

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    • LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION 

      Autor: Levi , Decio; Winternitz , Pavel
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
      We briefly review two different methods of applying Lie group theory in the numerical solution of ordinary differential equations. On specific examples we show how the symmetry preserving discretization provides difference ...

    • ON IMMERSION FORMULAS FOR SOLITON SURFACES 

      Autor: Grundland Michel, Alfred; Levi , Decio; Martina , Luigi
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to the following three types of symmetries: gauge symmetries of the ...

    • ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS 

      Autor: Gubbiotti , Giorgio; Levi , Decio; Scimiterna , Christian
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this ...

    • ON THE CONSTRUCTION OF PARTIAL DIFFERENCE SCHEMES II: DISCRETE VARIABLES AND SCHWARZIAN LATTICES 

      Autor: Levi , Decio; Rodriguez A., Miguel
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing a partial differential equation on an arbitrary lattice. An open problem ...