Comment on "A note on generalized radial mesh generation for plasma electronic structure"

Details Comment on "A note on generalized radial mesh generation for plasma electronic structure" Comment on "A note on generalized radial mesh generation for plasma electronic structure"

2011-05-15

arxiv.org/abs/1105.2970v1

Physics

Computational Physics

submitted to "High Energy Density Physics"

Scientific paper

In a recent note [High Energy Density Phys. 7, 161 (2011)], B.G. Wilson and V. Sonnad proposed a very useful closed form expression for the efficient generation of analytic log-linear radial meshes. The central point of the note is an implicit equation for the parameter h, involving Lambert's function W[x]. The authors mention that they are unaware of any direct proof of this equation (they obtained it by re-summing the Taylor expansion of h using high-order coefficients obtained by analytic differentiation of the implicit definition using symbolic manipulation). In the present comment, we present a direct proof of that equation.

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