Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena

@article{Alexandrescu2009MappedCP,
  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},
  year={2009},
  volume={180},
  pages={912-919}
}
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

References

Publications referenced by this paper.
Showing 1-10 of 39 references

Mappings and accuracy for Chebyshev pseudo-spectral approximations

A. Bayliss, E. Turkel
J. Comp. Phys. 101, 349–359 • 1992
View 5 Excerpts
Highly Influenced

M

J. Kästel
Fleischhauer, S.F. Yelin and R.L. Walsworth, Tunable negative refraction without absorption via electromagnetically induced chirality, Phys. Rev. Lett. 99, 073602 • 2007
View 1 Excerpt

Pérez - Garćıa , Turning light into a liquid via atomic coherence

M. J. Paz-Alonso H. A. Michinel, M. V.
Phys . Rev . Lett . • 2006

Numerical studies of stabilized Townes solitons

G. D. Montesinos, V. M. Pérez-Garćıa
Math. Comput. Simulat. 69, 447–456 • 2005
View 1 Excerpt

Pérez - Garćıa , Numerical studies of stabilized Townes solitons

M. V.
Math . Comput . Simulat . • 2005

Enhanced Kerr nonlinearity for self-action via atomic coherence in a fourlevel atomic system

T. Hong, M. W. Jack, M. Yamashita, T. Mukai
Opt. Comm. 214, 371–380 • 2002

Liquid light condensates.

Physical review. E, Statistical, nonlinear, and soft matter physics • 2002
View 1 Excerpt

Similar Papers

Loading similar papers…