Geodesic
Numerical modeling of axial solutions to some nonlinear problems
Numerical methods and programming, Tome 11 (2010) no. 3, pp. 215-227.

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A number of “truncated” problems are formulated and numerically studied to model the axial solutions to the nonlinear systems of equations describing the spatial axially symmetric laser-plasma interactions. It is shown that the proposed approach is well-posed and numerically efficient. This work was supported by the Russian Foundation for Basic Research (project N. 09-01-00625a).
Keywords: plasma oscillations; wake waves; axial solutions; finite difference method. 
@article{VMP_2010_11_3_a1,
     author = {E. V. Chizhonkov},
     title = {Numerical modeling of axial solutions to some nonlinear problems},
     journal = {Numerical methods and programming},
     pages = {215--227},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_3_a1/}
}
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E. V. Chizhonkov. Numerical modeling of axial solutions to some nonlinear problems. Numerical methods and programming, Tome 11 (2010) no. 3, pp. 215-227. http://geodesic.mathdoc.fr/item/VMP_2010_11_3_a1/