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Inverse Polynomial Reconstruction of Two Dimensional Fourier Images

• Jae-Hun Jung, Bernie D. Shizgal
• 2005

On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon

• Jae-Hun Jung, Bernie D. Shizgal
• 2007

Spectral convergence of the Hermite basis function solution of the Vlasov equation: The free-streaming term

• Livio Gibelli, Bernie D. Shizgal
• J. Comput. Physics
• 2006

The theoretical description of the mechanisms for the energization of ions in plasma devices and in space physics is an important endeavor [1–3]. The basis for numerous numerical models is the… (More)

Annihilation and reflection of spiral waves at a boundary for the Beeler-Reuter model.

• Daniel Olmos, Bernie D. Shizgal
• Physical review. E, Statistical, nonlinear, and…
• 2008

We employ a reaction diffusion equation with local dynamics specified by the Beeler-Reuter model to study the meandering of spiral waves. With the appropriate choice for the conductances of sodium… (More)

NONTHERMAL ESCAPE OF THE ATMOSPHERES OF VENUS , EARTH , AND MARS

• Bernie D. Shizgal, Gregory G. Arkos
• 1996

Atmospheric loss from planetary atmospheres is an important geophysical problem with implications for planetary evolution. This is a multidisciplinary research field that requires an expertise in a… (More)

Ion energization by wave-particle interactions: Comparison of spectral and particle simulation solutions of the Vlasov equation

• Livio Gibelli, Bernie D. Shizgal, A. W. Yau
• Computers & Mathematics with Applications
• 2010

The evolution of an ensemble of charged particles is given by the Vlasov equation with a prescribed electromagnetic field. We choose a steady uniform magnetic field and a perpendicular electric field… (More)

Energy and shape relaxation in binary atomic systems with realistic quantum cross sections.

• Reinel Sospedra-Alfonso, Bernie D. Shizgal
• The Journal of chemical physics
• 2013

We use the spatially homogeneous linear Boltzmann equation to study the time evolution of an initial non-equilibrium distribution function of an ensemble of test particles dilutely dispersed in a… (More)

Kullback-Leibler entropy in the electron distribution shape relaxation for electron-atom thermalization.

• Reinel Sospedra-Alfonso, Bernie D. Shizgal
• Physical review. E, Statistical, nonlinear, and…
• 2011

We study the thermalization of energetic electrons dilutely dispersed in inert gas atomic moderators, with and without the presence of an external electric field. We investigate the shape relaxation… (More)

An efficient nonclassical quadrature for the calculation of nonresonant nuclear fusion reaction rate coefficients from cross section data

• Bernie D. Shizgal
• 2016

Comment on "Approach to thermal equilibrium in atomic collisions".

• Bernie D. Shizgal
• Physical review letters
• 2009

A Comment on the Letter by P. Zhang et al., [Phys. Rev. Lett. 100, 103001 (2008)]. The authors of the Letter offer a Reply.

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