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Browsing by Subject "error estimates"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Difference functional inequalities and applications
    (2014) Szafrańska, Anna
    The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Pseudospectral method for semilinear partial functional differential equations
    (Wydawnictwa AGH, 2010) Czernous, Wojciech
    We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step τ and the number $N$ of collocation points. Stability statements and error estimates are written using continuous norms in weighted Jacobi spaces.