B. Shizgal

发表

Properties of Collocation Third-Derivative Operators

W. Merryfield, B. Shizgal, 1993 .

Spectral and Pseudospectral Methods of Solution of the Fokker-Planck and Schrödinger Equations

B. Shizgal, 2015 .

Time dependent nucleation

Bernie D. Shizgal, J. C. Barrett, B. Shizgal, 1989 .

Representation of Functions in Basis Sets

B. Shizgal, 2015 .

Numerical Evaluation of Integrals and Derivatives

B. Shizgal, 2015 .

A discrete ordinate method of solution of linear boundary value and eigenvalue problems

Bernie D. Shizgal, B. Shizgal, R. Blackmore, 1984 .

A pseudospectral method of solution of Fisher's equation

Bernie D. Shizgal, B. Shizgal, D. Olmos, 2006 .

Negative differential conductivity of electrons in HeXe and HeKr mixtures

B. Shizgal, 1990 .

Electric field dependence of transient electron longitudinal and transverse diffusion coefficients in rare-gas moderators

B. Shizgal, D. McMahon, K. Ness, 1986 .

Polynomial Basis Functions and Quadratures

B. Shizgal, 2015 .

Nonthermal escape of the atmospheres of Venus, Earth, and Mars

B. Shizgal, G. G. Arkos, 1996 .

Generalized Lattice-Boltzmann Equations

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Eigenvalues of the Lorentz Fokker–Planck equation

B. Shizgal, 1979 .

Spectral theory and the approach to equilibrium in a plasma

Bernie D. Shizgal, B. Shizgal, 1992 .

On the generation of orthogonal polynomials using asymptotic methods for recurrence coefficients

Bernie D. Shizgal, B. Shizgal, Andrew Clarke, 1993 .

Fokker-Planck equation for Coulomb relaxation and wave-particle diffusion: Spectral solution and the stability of the Kappa distribution to Coulomb collisions.

B. Shizgal, Wucheng Zhang, 2020, Physical review. E.

Chebyshev pseudospectral multi-domain technique for viscous flow calculation

Bernie D. Shizgal, B. Shizgal, Henry H. Yang, 1994 .

Integral Equations in the Kinetic Theory of Gases and Related Topics

B. Shizgal, 2015 .

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

B. Shizgal, R. Sospedra‐Alfonso, 2013, The Journal of chemical physics.

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

B. Shizgal, Lucas Philipp, 2019, Physica A: Statistical Mechanics and its Applications.

The Milne problem: A study of the mass dependence

Bernie D. Shizgal, Michael J. Lindenfeld, B. Shizgal, 1983 .

A collisional kinetic theory of a plane parallel evaporating planetary atmosphere

B. Shizgal, R. Blackmore, 1986 .

Plasma Diagnosis by a Langmuir Probe Compensating for Time-Dependent Sheath Thickness

B. Shizgal, D. Weaver, 1994 .

Wentzel-Kramers-Brillouin Approach to Time-Dependent Nucleation

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Velocity distributions of energetic atoms in planetary exospheres from dissociative recombination

B. Shizgal, K. Kabin, 2002 .

Rarefied Gas Dynamics: Space Science and Engineering

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Rarefied gas dynamics : experimental techniques and physical systems

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Pseudospectral methods of solution of the Schrödinger equation

B. Shizgal, Joseph Lo, 2008 .

Kinetic Description of Transport Phenomena in Magnetohydrodynamic Discontinuities

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Modeling the Reactive Gas Composition in the H + Methane Etching of Gallium Arsenide

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

The flow of suspensions through tubes IV: Oscillatory flow of rigid spheres

S. G. Mason, H. Goldsmith, B. Shizgal, 1965 .

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

B. Shizgal, 2015 .

AN ANALYSIS OF O-H INTERACTION POTENTIALS, O-H AND O-D COLLISION CROSS SECTIONS, AND VIBRATIONAL STATES

B. Shizgal, 1998 .

Time dependent electron distribution functions and degradation spectra: A comparison of the Spencer—Fano equation and the Boltzmann equation

B. Shizgal, K. Kowari, 1991 .

Cluster Formation in the Laser-Induced Plume Created Above YBaCuO Superconductor

B. Shizgal, D. Weaver, 1994 .

Kinetic theory calculation of the NMR relaxation time of dilute 3He gas

B. Shizgal, 1973 .

Current-Voltage Relationship Including Plasma Flow Along the Mirror Field

B. Shizgal, D. Weaver, D. P. Weaver, 1994 .

Particle Simulation of Satellite Aerobraking with Coupled Surface Heat Transfer

B. Shizgal, D. Weaver, 1994 .

Approximate Analytical Description of Adsorption-Desorption Kinetics

B. Shizgal, D. Weaver, 1994 .

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

B. Shizgal, 2016, Journal of Statistical Physics.

Hot hydrogen and deuterium in the exosphere of Venus

B. Shizgal, 1987 .

Lagrangian Kinetic Theory Analysis of Wave Propagation in Rarefied Plasmas

B. Shizgal, D. Weaver, 1994 .

Fluctuations for a Many-Particle System

B. Shizgal, D. Weaver, 1994 .

Pseudospectral solution of the Schrödinger equation for the Rosen-Morse and Eckart potentials

B. Shizgal, Conor L. Morrison, Bernard Shizgal, 2019, Journal of Mathematical Chemistry.

Scattering Experiments of Gas Molecules from an Ion-Plated Surface

B. Shizgal, D. Weaver, 1994 .

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

Bernie D. Shizgal, B. Shizgal, 2016 .

Introduction to Spectral/Pseudospectral Methods

B. Shizgal, 2015 .

Matrix elements of the linear Boltzmann collision operator for systems of two components at different temperatures

Bernie D. Shizgal, B. Shizgal, J. M. Fitzpatrick, 1974 .

Electric-field-dependent bimodal distribution functions for electrons in argon, xenon, and krypton owing to the Ramsauer-Townsend minima in the electron-atom momentum-transfer cross sections

B. Shizgal, 2022, Physical Review A.

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

B. Shizgal, R. Sospedra‐Alfonso, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Electron attachment kinetics coupled to electron thermalization in SF6/Ar mixtures

B. Shizgal, K. Kowari, 2002 .

THERMAL MOBILITIES OF ELECTRONS IN BINARY RARE-GAS MIXTURES

B. Shizgal, J. Barrett, K. T. Leung, 1990 .

The coupling of electron thermalisation and electron attachment; SF6 and CCl4 in rare-gas moderators

B. Shizgal, 1988 .

Electron thermalization times for helium–krypton mixtures

B. Shizgal, Y. Hatano, 1988 .

Electron distribution functions and thermalization times in inert gas moderators

B. Shizgal, D. McMahon, 1984 .

The coupling of electron thermalization and electron attachment in CCl4/Ar and CCl4/Ne mixtures

B. Shizgal, K. Kowari, K. Leung, 1998 .

A uniform WKB analysis of the coupling of electron attachment and thermalization in gases

B. Shizgal, 1991 .

Slightly Strong Evaporation and Condensation of a Vapor-Gas Mixture Between Coaxial Cylindrical Condensed Phases: Concentration of Inert Gas -O(Kn)

B. Shizgal, D. P. Weaver, 1994 .

Modern exospheric theories and their observational relevance

Bernie D. Shizgal, B. Shizgal, H. Fahr, 1983 .

Thermalization of electrons in gases

B. Shizgal, L. Viehland, D. McMahon, 1989 .

Electron Thermalization Processes in Gaseous Mixtures

B. Shizgal, D. P. Weaver, 1994 .

On the existence of a steady electron distribution for systems with electron attachment: ArCCl4 mixtures

B. Shizgal, K. Kowari, 1996 .

Electron distribution functions for electron attachment to SF6 and model systems

B. Shizgal, 1987 .

Fourier Transform Infrared Spectroscopy of Molecular Clusters

B. Shizgal, D. P. Weaver, 1994 .

Nonequilibrium effects in reactive systems; the effect of reaction products and the validity of the Chapman-Enskog method

B. Shizgal, Duncan Napier, 1996 .

A uniform WKB approach to electron thermalization in gases

B. Shizgal, T. Nishigori, 1990 .

Transient nonequilibrium effects in the attachment of electrons to chlorofluoroethanes

B. Shizgal, K. Ness, 1987 .

Eigenvalues of the boltzmann collision operator for binary gases: Relaxation of anisotropic distributions

Bernie D. Shizgal, B. Shizgal, R. Blackmore, 1983 .

Nonequilibrium time dependent theory of hot atom reactions. III. Comparison with Estrup--Wolfgang theory

B. Shizgal, 1981 .

Nonequilibrium time dependent theory of hot atom reactions. II. The hot 18F+H2 reaction

B. Shizgal, 1980 .

Nonequilibrium time dependent theory of hot atom reactions. I. Model calculations

B. Shizgal, J. M. Fitzpatrick, 1980 .

Steady states in hot atom chemistry

B. Shizgal, 1978 .

Temperature relaxation in a binary gas. I. Steady state solution

Bernie D. Shizgal, B. Shizgal, J. M. Fitzpatrick, 1975 .

Energy distribution function of translationally hot O(3P) atoms in the atmosphere of Earth

B. Shizgal, M. Lindenfeld, 1979 .

The Quadrature Discretization Method (QDM) in comparison with other numerical methods of solution of the Fokker–Planck equation for electron thermalization

Heli Chen, Bernie D. Shizgal, Ki Leung, 1998 .

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

B. Shizgal, 2021, Astrophysics and Space Science.

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

B. Shizgal, 2018, Physical review. E.

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

B. Shizgal, 2022 .

Suprathermal particle distributions in space physics: Kappa distributions and entropy

B. Shizgal, 2007 .

Transient microwave conductivity of electrons in helium and argon

B. Shizgal, L. Viehland, S. Ranganathan, 1988 .

Transient microwave conductivity of electrons in helium

B. Shizgal, S. Ranganathan, 1987 .

Energy relaxation of electrons in helium

B. Shizgal, 1983 .

Electron thermalization in gases

B. Shizgal, 1983 .

A uniform Wentzel-Kramers-Brillouin approach to electron transport in molecular gases

L. Demeio, B. Shizgal, 1993 .

Short-time behavior of electron thermalization in gases

B. Shizgal, T. Nishigori, 1988 .

Thermalisation and annihilation of positrons in helium and neon

B. Shizgal, K. Ness, 1987 .

Transient Hot Electron Mobility in Ethene and Cyclopropane

B. Shizgal, 1987 .

A Gaussian quadrature procedure for use in the solution of the Boltzmann equation and related problems

Bernie D. Shizgal, B. Shizgal, 1981 .

Eigenvalues of the Boltzmann collision operator for binary gases: Mass dependence

B. Shizgal, M. Lindenfeld, R. Reeves, 1981 .

Comparison of WKB (Wentzel-Kramers-Brillouin) and SWKB solutions of Fokker-Planck equations with exact results; application to electron thermalization

L. Demeio, B. Shizgal, 1991 .

The partial continuous slowing down approximation (PCSDA) in the solution of the Spencer — Fano equation

B. Shizgal, K. Kowari, 1991 .

RELAXATION CONSTANTS IN ELECTRON THERMALIZATION : COMPARISON OF WKB AND SWKB EIGENVALUES WITH EXACT RESULTS

B. Shizgal, 1990 .

Radiofrequency Electron Swarm Transport in Gases

B. Shizgal, D. P. Weaver, 1994 .

NONEQUILIBRIUM CONTRIBUTION TO THE RATE OF REACTION. III. ISOTHERMAL MULTICOMPONENT SYSTEMS.

M. Karplus, B. Shizgal, 1971 .

Nonequilibrium Contributions to the Rate of Reaction. I. Perturbation of the Velocity Distribution Function

M. Karplus, B. Shizgal, 1970 .

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

B. Shizgal, Yahui Zhan, 2019, Physical review. E.

Nonequilibrium Contributions to the Rate of Reactions. II. Isolated Multicomponent Systems

Bernie D. Shizgal, Martin Karplus, M. Karplus, 1971 .

Vibrational Nonequilibrium Effects in the (H2, H2) Reactive System

B. Shizgal, 1972 .

Nonequilibrium Contributions to the Rate of Reaction. IV. Explicit Time‐Dependent Solutions

B. Shizgal, 1971 .

The dynamics of hot F atoms in low pressure plasma etching reactors

B. Shizgal, Andrew Clarke, Andrew T. Clarke, 1992 .

Measurement of Rotational Temperature in a Freejet Flow of Chemically Reacting Iodine Vapor

B. Shizgal, D. P. Weaver, 1994 .

Sound dispersion in single-component systems

B. Shizgal, Duncan Napier, 2008 .

Spin-exchange scattering cross sections for hydrogen atoms at low temperatures

B. Shizgal, A. J. Berlinsky, 1980 .

The quadrature discretization method in the solution of the Fokker-Planck equation with nonclassical basis functions

Heli Chen, Bernie D. Shizgal, B. Shizgal, 1997 .

Time dependent nucleation. II. A semiclassical approach

L. Demeio, B. Shizgal, 1993 .

The Quadrature Discretization Method (QDM) in the solution of the Schrödinger equation

Heli Chen, Bernie D. Shizgal, B. Shizgal, 1998 .

The quadrature discretization method (QDM) in the solution of the Schrödinger equation with nonclassical basis functions

Heli Chen, Bernie D. Shizgal, B. Shizgal, 1996 .

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

Xingwei Yang, B. Shizgal, Nicholas Ho, 2017, Journal of Mathematical Chemistry.

Thermophoresis of a Sphere with a Uniform Temperature: Numerical Analysis of the Boltzmann Equation for Hard-Sphere Molecules

B. Shizgal, D. P. Weaver, 1994 .

A novel Rys quadrature algorithm for use in the calculation of electron repulsion integrals

Bernie D. Shizgal, B. Shizgal, 2015 .

Comparison of classical and quantum continuum expectation values

B. Shizgal, A. S. Dickinson, 1975 .

Calculation of the nmr relaxation time of dilute 129 Xe gas

B. Shizgal, 1974 .

A method for the rapid calculation of matrix elements with highly oscillatory JWKB radial wavefunctions

B. Shizgal, 1974 .

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

B. Shizgal, 2017 .

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

B. Shizgal, 2016 .

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

B. Shizgal, 2022, Astrophysics and Space Science.

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

B. Shizgal, Hrishikesh Patel, 2021 .

Numerical study of a direct current plasma sheath based on kinetic theory

B. Shizgal, A. V. Vasenkov, 2002 .

Molecular Ions in Ion Upflows and their Effects on Hot Atomic Oxygen Production

B. Shizgal, A. Yau, V. Foss, 2017 .

A solution of Kramers equation for the isomerization of n‐butane in CCl4

B. Shizgal, R. Blackmore, 1985 .

Atomic Oxygen and Its Effect on Materials in Space

B. Shizgal, D. P. Weaver, 1994 .

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

Jae-Hun Jung, Bernie D. Shizgal, B. Shizgal, 2007, J. Comput. Phys..

Inverse Polynomial Reconstruction of Two Dimensional Fourier Images

Jae-Hun Jung, Bernie D. Shizgal, B. Shizgal, 2005, J. Sci. Comput..

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

Jae-Hun Jung, Bernie D. Shizgal, B. Shizgal, 2004 .

Towards the resolution of the Gibbs phenomena

Jae-Hun Jung, Bernie D. Shizgal, B. Shizgal, 2003 .

A spectral solution of the Sturm-Liouville equation: comparison of classical and nonclassical basis sets

Heli Chen, Bernie D. Shizgal, B. Shizgal, 2001 .

THE QUADRATURE DISCRETIZATION METHOD (QDM) IN THE CALCULATION OF THE ROTATIONAL-VIBRATIONAL TRANSITIONS IN RARE GAS DIMERS

B. Shizgal, 1997 .

Vibrational nonequilibrium in a supersonic expansion with reaction: Application to O2–O

B. Shizgal, F. Lordet, 1996 .

Rarefied Gas Dynamics: Theory and Simulations

Bernie D. Shizgal, B. Shizgal, D. P. Weaver, 1994 .

Structure of Freejets Issued from Annular Orifices

B. Shizgal, D. P. Weaver, 1994 .

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

Bernie D. Shizgal, Raouf Dridi, B. Shizgal, 2010, Comput. Phys. Commun..

Escape of H and D from Mars and Venus by energization with hot oxygen

B. Shizgal, 1999 .

Dependence of Collision Rates upon Rovibrational State and Velocity as Studied by Light-Induced Drift

B. Shizgal, D. P. Weaver, 1994 .

On the use temperature parameterized rate coefficients in the estimation of non-equilibrium reaction rates

Bernie D. Shizgal, A. Chikhaoui, B. Shizgal, 2006 .

Neutral particle collisional relaxation of suprathermal distributions in aeronomy

Bernie D. Shizgal, B. Shizgal, 2004 .

Hot oxygen in the exosphere of venus

B. Shizgal, 2002 .

Near Resonance Mechanism of Vibrational-Rotational Energy Transfer

B. Shizgal, D. P. Weaver, 1994 .

Matrix elements of the Boltzmann collision operator for gas mixtures

Bernie D. Shizgal, B. Shizgal, Michael J. Lindenfield, 1979 .

Collision Dynamics of Atom-Spherical Top Molecule Systems

B. Shizgal, D. P. Weaver, 1994 .

A comparison of Mu-H and H-H electron spin exchange cross sections

B. Shizgal, 1979 .

Manned Mars Entry Vehicle Aerothermodynamic Analysis

B. Shizgal, D. P. Weaver, 1994 .

Monte Carlo Simulation of an Argon Magnetron Discharge and Target Erosion

B. Shizgal, D. P. Weaver, 1994 .

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

B. Shizgal, 2016 .

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

Bernie D. Shizgal, B. Shizgal, 2016, Comput. Phys. Commun..

Coherent Anti-Stokes Raman Spectroscopy: Application to High-Temperature, Nonreactive Gas Phenomena

B. Shizgal, D. P. Weaver, 1994 .

Pseudospectral method of solution of the Fitzhugh-Nagumo equation

Bernie D. Shizgal, Daniel Olmos-Liceaga, B. Shizgal, 2009, Math. Comput. Simul..

Rarefied Hypersonic Flow over a Sharp Flat Plate: Numerical and Experimental Results

Bernie D. Shizgal, David P. Weaver, B. Shizgal, 1994 .

Nonequilibrium distributions from the Fokker-Planck equation: Kappa distributions and Tsallis entropy

B. Shizgal, Alp Doga Oylukan, 2023, Physical Review E.

Analysis of Gas Film Lubrication Using the Monte Carlo Direct Simulation Method

Bernie D. Shizgal, David P. Weaver, B. Shizgal, 1994 .

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

B. Shizgal, Joseph Lo, Bernie D Shizgal, 2006, The Journal of chemical physics.

A Chebyshev pseudospectral multi-domain method for steady flow past a cylinder up to Re = 150

Bernie D. Shizgal, Brian R. Seymour, B. Shizgal, 1994 .

A comparison of differential quadrature methods for the solution of partial differential equations

Bernie D. Shizgal, Ulrich Weinert, U. Weinert, 1993 .

Transient electron mobilities in ethene and cyclopropane

B. Shizgal, 1986 .

Discrete ordinate solution of a Fokker-Planck equation in laser physics

U. Weinert, B. Shizgal, R. Blackmore, 1986 .

Doppler Profiles of the Distribution of O(1D) Relaxing in Ne

B. Shizgal, Y. Matsumi, Kanami Hitsuda, 2001 .

Non-Maxwellian effects associated with the thermal escape of a planetary atmosphere

B. Shizgal, M. Lindenfeld, 1979 .

Translational nonequilibrium during vibrational relaxation; the system CO in helium

B. Shizgal, 1976 .

Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics

Bernie D. Shizgal, B. Shizgal, 2015 .

A Direct Spectral Collocation Poisson Solver in Polar and Cylindrical Coordinates

Heli Chen, Bernie D. Shizgal, B. Shizgal, 2000 .

An efficient mapped pseudospectral method for weakly bound states: vibrational states of He2, Ne2, Ar2 and Cs2

B. Shizgal, Joseph Lo, 2008 .

Deterministic Method for Solving the Boltzmann Equation

Bernie D. Shizgal, David P. Weaver, B. Shizgal, 1994 .

Experimental Study of Angular Dispersion of Liquid Drop Streams

B. Shizgal, D. P. Weaver, 1994 .

Radial dependence of the density in a planetary exosphere

U. Weinert, B. Shizgal, 1987 .

Discrete versus continuum relaxation modes of a hard sphere gas

B. Shizgal, 1984 .

Coulomb collisional processes in space plasmas; relaxation of suprathermal particle distributions

B. Shizgal, 2004 .

Study of the Two-Stream Moment Method for Linear Kinetic Boundary-Layer Problems

B. Shizgal, D. P. Weaver, 1994 .

Discrete ordinate method of solution of a Fokker—Planck equation with a bistable potential

B. Shizgal, R. Blackmore, 1984 .

Discrete velocity model for an escaping single-component atmosphere

W. Merryfield, B. Shizgal, 1994 .

On the validity of the chapman-enskog description of the solar wind

B. Shizgal, 1977 .

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, 2010, Comput. Math. Appl..

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

Livio Gibelli, Bernie D. Shizgal, B. Shizgal, 2006, J. Comput. Phys..

Relation Between Cluster Abundance and Cluster Size in a Condensing Gas

B. Shizgal, D. P. Weaver, 1994 .

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

B. Shizgal, Jiayin Bao, 2019, Computational and Theoretical Chemistry.

Spectral methods based on nonclassical basis functions: the advection-diffusion equation

Bernie D. Shizgal, B. Shizgal, 2002 .