Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena

  title={Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena},
  author={Adrian Alexandrescu and Alfonso Bueno-Orovio and Jos{\'e} R. Salgueiro and V{\'i}ctor M. P{\'e}rez-Garc{\'i}a},
  journal={Computer Physics Communications},
In the framework of mapped pseudospectral methods, we use a polynomial-type mapping function in order to describe accurately the dynamics of systems developing small size structures. Using error criteria related to the spectral interpolation error, the polynomial-type mapping is compared against previously proposed mappings for the study of collapse and shock wave phenomena. As a physical application, we study the dynamics of two coupled beams, described by coupled nonlinear Schrödinger… CONTINUE READING


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