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The use of the Pearson differential equation to test energetic distributions in space physics as Kappa distributions; implication for Tsallis nonextensive entropy: II

Astrophysics and space science, 2022, Vol.367 (1), Article 7

Shizgal, Bernie D.

2022

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Energetic particle distributions in space physics represented by the Pearson differential equation for the kappa distribution

Astrophysics and space science, 2021-06, Vol.366 (6), Article 50

Shizgal, Bernie D.

2021

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Pseudospectral Solution of the Fokker–Planck Equation with Equilibrium Bistable States: the Eigenvalue Spectrum and the Approach to Equilibrium

Journal of statistical physics, 2016-09, Vol.164 (6), p.1379-1393

Shizgal, Bernie D.

2016

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Kappa and other nonequilibrium distributions from the Fokker-Planck equation and the relationship to Tsallis entropy

Physical review. E, 2018-05, Vol.97 (5-1), p.052144-052144, Article 052144

Shizgal, Bernie D

2018

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

Computer physics communications, 2016-08, Vol.205, p.61-68

Shizgal, Bernie D.

2016

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A pseudospectral solution of a Fokker-Planck equation to model isomerization reactions

AIP Conference Proceedings, 2016, Vol.1786 (1)

2016

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A comparison of pseudospectral methods for the solution of the Schrödinger equation; the Lennard-Jones (n,6) potential

Computational and theoretical chemistry, 2017-08, Vol.1114, p.25-32

Shizgal, Bernie D.

2017

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Suprathermal particle distributions in space physics: Kappa distributions and entropy

Astrophysics and space science, 2007-12, Vol.312 (3-4), p.227-237

Shizgal, Bernie D

2007

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

The Journal of chemical physics, 2013-07, Vol.139 (4), p.044113-044113

2013

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A pseudospectral method of solution of Fisher's equation

Journal of computational and applied mathematics, 2006-08, Vol.193 (1), p.219-242

2006

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The computation of radial integrals with nonclassical quadratures for quantum chemistry and other applications

Journal of mathematical chemistry, 2017-02, Vol.55 (2), p.413-422

2017

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Diffusion in a bistable system: The eigenvalue spectrum of the Fokker-Planck operator and Kramers' reaction rate theory

Physical review. E, 2019-04, Vol.99 (4-1), p.042101-042101, Article 042101

2019

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Variational Estimates of the Spectral Gap and Eigenvalue Spectra of the Linearized and Linear Boltzmann Hard Sphere Collision Operators

Journal of computational and theoretical transport, 2015-11, Vol.44 (6-7), p.231-253

Shizgal, Bernie D.

2015

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Comment on "Approach to thermal equilibrium in atomic collisions"

Physical review letters, 2009-10, Vol.103 (15), p.159301; author reply 159302-159301; author reply 159302, Article 159301

Shizgal, Bernie D

2009

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Maple code for the calculation of the matrix elements of the Boltzmann collision operators for mixtures

Computer physics communications, 2010-09, Vol.181 (9), p.1633-1640

2010

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Spectral convergence of the quadrature discretization method in the solution of the Schrodinger and Fokker-Planck equations: comparison with sinc methods

The Journal of chemical physics, 2006-11, Vol.125 (19), p.194108-194108

2006

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Pseudospectral solutions of the Fokker-Planck equation for Pearson diffusion that yields a Kappa distribution; the associated SUSY Schrödinger equation

Computational and theoretical chemistry, 2021-01, Vol.1194, p.113059, Article 113059

2021

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

Journal of computational physics, 2007-06, Vol.224 (2), p.477-488

2007

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Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon

Journal of computational and applied mathematics, 2004-11, Vol.172 (1), p.131-151

2004

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A Pseudospectral solution of a bistable Fokker–Planck equation that models protein folding

Physica A, 2019-05, Vol.522, p.158-166

2019

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Pseudospectral method of solution of the Schrödinger equation with non classical polynomials; the Morse and Pöschl–Teller (SUSY) potentials

Computational and theoretical chemistry, 2016-05, Vol.1084, p.51-58

Shizgal, Bernie D.

2016

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

Journal of computational physics, 2006-12, Vol.219 (2), p.477-488

2006

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Pseudospectral method of solution of the Schrödinger equation for the Kratzer and pseudoharmonic potentials with nonclassical polynomials and applications to realistic diatom potentials

Computational and theoretical chemistry, 2019-02, Vol.1149, p.49-56

2019

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An accurate analytic representation of the temperature dependence of nonresonant nuclear reaction rate coefficients

Physica A, 2016-12, Vol.463, p.270-281

Shizgal, Bernie D.

2016

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Boltzmann equation modelling of Learning Dynamics: Comment on “Collective learning modeling based on the kinetic theory of active particles” by D. Burini et al

Physics of life reviews, 2016-03, Vol.16, p.154-155

Shizgal, Bernie

2016

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The use of the Pearson differential equation to test energetic distributions in space physics as Kappa distributions; implication for Tsallis nonextensive entropy: II

Energetic particle distributions in space physics represented by the Pearson differential equation for the kappa distribution

Pseudospectral Solution of the Fokker–Planck Equation with Equilibrium Bistable States: the Eigenvalue Spectrum and the Approach to Equilibrium

Kappa and other nonequilibrium distributions from the Fokker-Planck equation and the relationship to Tsallis entropy

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

A pseudospectral solution of a Fokker-Planck equation to model isomerization reactions

A comparison of pseudospectral methods for the solution of the Schrödinger equation; the Lennard-Jones (n,6) potential

Suprathermal particle distributions in space physics: Kappa distributions and entropy

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

A pseudospectral method of solution of Fisher's equation

The computation of radial integrals with nonclassical quadratures for quantum chemistry and other applications

Diffusion in a bistable system: The eigenvalue spectrum of the Fokker-Planck operator and Kramers' reaction rate theory

Variational Estimates of the Spectral Gap and Eigenvalue Spectra of the Linearized and Linear Boltzmann Hard Sphere Collision Operators

Comment on "Approach to thermal equilibrium in atomic collisions"

Maple code for the calculation of the matrix elements of the Boltzmann collision operators for mixtures

Spectral convergence of the quadrature discretization method in the solution of the Schrodinger and Fokker-Planck equations: comparison with sinc methods

Pseudospectral solutions of the Fokker-Planck equation for Pearson diffusion that yields a Kappa distribution; the associated SUSY Schrödinger equation

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

Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon

A Pseudospectral solution of a bistable Fokker–Planck equation that models protein folding

Pseudospectral method of solution of the Schrödinger equation with non classical polynomials; the Morse and Pöschl–Teller (SUSY) potentials

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

Pseudospectral method of solution of the Schrödinger equation for the Kratzer and pseudoharmonic potentials with nonclassical polynomials and applications to realistic diatom potentials

An accurate analytic representation of the temperature dependence of nonresonant nuclear reaction rate coefficients

Boltzmann equation modelling of Learning Dynamics: Comment on “Collective learning modeling based on the kinetic theory of active particles” by D. Burini et al

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