Charles Edward Siewert

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Charles Edward Siewert's Published Works

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Published Works

A discrete-ordinates solution for a non-grey model with complete frequency redistribution (1999) (157)
A discrete-ordinates solution for radiative-transfer models that include polarization effects (2000) (132)
F/sub N/ method in neutron-transport theory. Part I: theory and applications (1979) (126)
A concise and accurate solution to Chandrasekhar’s basic problem in radiative transfer (2000) (107)
Unified solutions to classical flow problems based on the BGK model (2001) (97)
Benchmark results in radiative transfer (1985) (91)
Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients (2002) (87)
A high-order spherical harmonics solution to the standard problem in radiative transfer (1984) (87)
F/sub N/ method in neutron-transport theory. Part II: applications and numerical results (1979) (84)
On the equation of the transfer relevant to the scattering of polarized light (1981) (83)
The use of Riemann problems in solving a class of transcendental equations (1973) (79)
The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems (2003) (78)
The FN method for radiative transfer models that include polarization effects (1989) (78)
A generalized spherical harmonics solution for radiative transfer models that include polarization effects (1986) (75)
Half‐space problems in the kinetic theory of gases (1973) (69)
Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani–Lampis boundary condition (2003) (62)
Radiative transfer in finite inhomogeneous plane-parallel atmospheres (1982) (62)
TheFN method for solving radiative-transfer problems in plane geometry (1978) (62)
The use of the itFN method for radiative transfer problems with reflective boundary conditions (1980) (57)
Particular solutions for the discrete-ordinates method (2000) (57)
An exact solution of equations of radiative transfer for Local Thermodynamic Equilibrium in the non-gray case. Picket fence approximation☆ (1966) (56)
An inverse source problem in radiative transfer (1993) (54)
The PN method for radiative transfer problems with reflective boundary conditions (1983) (54)
The effect of anisotropic scattering on the critical slab problem in neutron transport theory using a synthetic kernel (1977) (53)
The temperature-jump problem in rarefied-gas dynamics (2000) (49)
A radiative-transfer inverse-source problem for a sphere (1994) (47)
The linearized Boltzmann equation: a concise and accurate solution of the temperature-jump problem (2003) (44)
Poiseuille, thermal creep and Couette flow: results based on the CES model of the linearized Boltzmann equation (2002) (44)
Elementary solutions of coupled model equations in the kinetic theory of gases (1974) (41)
A discrete-ordinates solution for Poiseuille flow in a plane channel (1999) (41)
The linearized Boltzmann equation: Sound-wave propagation in a rarefied gas (2005) (40)
NONCONSERVATIVE EQUATION OF TRANSFER FOR A COMBINATION OF RAYLEIGH AND ISOTROPIC SCATTERING. (1971) (40)
The temperature-jump problem for a variable collision frequency model (2002) (40)
On the inverse problem for a three-term phase function (1979) (38)
Sound-wave propagation in a rarefied gas (1979) (36)
Concise and accurate solutions to half-space binary-gas flow problems defined by the McCormack model and specular-diffuse wall conditions (2004) (35)
On computing the Chandrasekhar polynomials in high order and high degree (1990) (35)
A computational method for solving a class of coupled conductive-radiative heat transfer problems (1991) (35)
The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: Basic flow problems in a plane channel (2009) (34)
Poiseuille and Thermal-Creep Flow in a Cylindrical Tube (2000) (34)
Two-group transport theory☆ (1967) (34)
Radiative transfer in linearly anisotropic-scattering, conservative and non-conservative slabs with reflective boundaries (1971) (34)
Generalized boundary conditions for the S-model kinetic equations basic to flow in a plane channel (2002) (34)
Heat transfer and evaporation/condensation problems based on the linearized Boltzmann equation (2003) (34)
A numerical evaluation of an analytical representation of the components in a Fourier decomposition of the phase matrix for the scattering of polarized light (1984) (33)
An exact analytical solution of Kepler's equation (1972) (33)
Strong evaporation into a half space (1981) (33)
The McCormack model: channel flow of a binary gas mixture driven by temperature, pressure and density gradients (2004) (33)
Temperature‐jump problem with arbitrary accommodation (1978) (32)
A Discrete-Ordinates Solution for Heat Transfer in a Plane Channel (1999) (32)
An improved iterative method for solving a class of coupled conductive-radiative heat-transfer problems (1995) (32)
Multislab multigroup transport theory with L th the order anisotropic scattering (1983) (31)
An analytical discrete-ordinates solution of the S-model kinetic equations for flow in a cylindrical tube (2002) (31)
Efficient eigenvalue calculations in radiative transfer (1999) (31)
Couette flow for a binary gas mixture (2001) (30)
Exact analytical solutions of zez = a (1973) (30)
Green's Functions for the One‐Speed Transport Equation in Spherical Geometry (1968) (30)
A new approach to the inverse problem (1978) (30)
Kramers' problem for a variable collision frequency model (2001) (30)
Radiative transfer in inhomogeneous atmospheres—Numerical results (1981) (29)
The McCormack model for gas mixtures: Heat transfer in a plane channel (2004) (29)
On computing eigenvalues in radiative transfer. (1980) (29)
On discrete spectrum calculations in radiative transfer (1989) (29)
Radiative Transfer. II (1966) (29)
Heat transfer between parallel plates with arbitrary surface accommodation (1973) (28)
TheFN method for radiative transfer problems without azimuthal symmetry (1980) (28)
On computing the Chapman-Enskog functions for viscosity and heat transfer and the Burnett functions [rapid communication] (2002) (28)
Radiative transfer calculations in spheres and cylinders (1985) (28)
On the integral form of the equation of transfer for a homogeneous sphere (1982) (27)
Three Basic Neutron-Transport Problems in Spherical Geometry (1979) (27)
Multigroup Transport Theory. II. Numerical Results (1981) (27)
The searchlight problem in radiative transfer. (1989) (27)
Radiative transfer in inhomogeneous atmospheres (1980) (26)
The viscous-slip, diffusion-slip, and thermal-creep problems for a binary mixture of rigid spheres described by the linearized Boltzmann equation (2007) (26)
On a possible experiment to evaluate the validity of the one‐speed or constant cross section model of the neutron‐transport equation (1978) (26)
Neutron transport calculations in cylindrical geometry (1984) (26)
A concise and accurate solution for Poiseuille flow in a plane channel (1980) (26)
A spherical-harmonics method for multi-group or non-gray radiation transport (1993) (26)
The complete solution for radiative transfer problems with reflecting boundaries and internal sources (1982) (25)
Multigroup Transport Theory with Anisotropic Scattering (1982) (25)
RADIATIVE TRANSFER IN A FREE-ELECTRON ATMOSPHERE. (1967) (25)
Strong evaporation into a half space. II. The three-dimensional BGK model (1982) (24)
A SPHERICAL-HARMONICS SOLUTION FOR RADIATIVE- TRANSFER PROBLEMS WITH REFLECTING BOUNDARIES AND INTERNAL SOURCES (1998) (24)
A particular solution for the PN method in radiative transfer (1990) (23)
On multi-region problems in radiative transfer (1979) (23)
On the normal-mode expansion technique for radiative transfer in a scattering, absorbing and emitting slab with specularly reflecting boundaries (1969) (23)
STEADY-STATE SOLUTIONS IN THE TWO-GROUP THEORY OF NEUTRON DIFFUSION. (1972) (22)
The Searchlight Problem for Radiative Transfer in a Finite Slab (2000) (22)
Radiation transport in plane-parallel media with non-uniform surface illumination (1983) (22)
Some comments concerning the discrete eigenvalue. Authors' reply (1999) (21)
EXPLICIT CLOSED-FORM RESULT FOR THE DISCRETE EIGENVALUE IN STUDIES OF POLARIZED LIGHT. (1972) (21)
Some comments on modeling the linearized Boltzmann equation (2003) (20)
The temperature-jump problem for a mixture of two gases (2001) (19)
On Existence and Uniqueness Theorems Concerning the H-Matrix of Radiative Transfer (1972) (19)
Discrete spectrum basic to kinetic theory (1973) (19)
An Expedient Method for Calculating H-Matrices (1971) (19)
An exact solution of a molecular field equation in the theory of ferromagnetism (1973) (19)
On the singular components of the solution to the searchlight problem in radiative transfer (1985) (19)
Reverse Temperature Gradient in the Kinetic Theory of Evaporation (1974) (19)
The McCormack model for gas mixtures: The temperature-jump problem (2005) (19)
Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $ (1973) (19)
On the use of Fresnel boundary and interface conditions in radiative-transfer calculations for multilayered media (2008) (19)
Heat transfer between parallel plates: An approach based on the linearized Boltzmann equation for a binary mixture of rigid-sphere gases (2007) (18)
On inverse problems for plane‐parallel media with nonuniform surface illumination (1982) (18)
On coupled conductive-radiative heat-transfer problems in a sphere (1991) (18)
On coupled conductive-radiative heat transfer problems in a cylinder (1992) (18)
Viscous-slip, thermal-slip, and temperature-jump coefficients based on the linearized Boltzmann equation (and five kinetic models) with the Cercignani–Lampis boundary condition (2010) (18)
The critical problem for an infinite cylinder (1983) (18)
Explicit results for the quantum‐mechanical energy states basic to a finite square‐well potential (1978) (17)
Particular solutions for the radiative transfer equation (1991) (17)
TWO-GROUP NEUTRON-TRANSPORT THEORY: HALF-RANGE ORTHOGONALITY, NORMALIZATION INTEGRALS, APPLICATIONS, AND COMPUTATIONS. (1972) (17)
An analytical discrete-ordinates solution for dual-mode heat transfer in a cylinder (2002) (17)
On the transport of neutral hydrogen atoms in a hydrogen plasma (1982) (16)
On the dispersion function in particle transport theory (1982) (16)
On inverse boundary-condition problems in radiative transfer (1997) (16)
Radiative transfer in a multi-layer medium subject to Fresnel boundary and interface conditions and uniform illumination by obliquely incident parallel rays (2008) (16)
On the Equivalence Between the Discrete Ordinates and the Spherical Harmonics Methods in Radiative Transfer (1998) (15)
On establishing a two-term scattering law in the theory of radiative transfer (1979) (15)
The effect of forward and backward scattering on the law of darkening for the Milne problem and the spherical albedo (1978) (15)
Half‐Range Expansion Theorems in Studies of Polarized Light (1970) (15)
A Discrete-Ordinates Solution for a Polarization Model with Complete Frequency Redistribution (1999) (15)
THE EFFECT OF FORWARD AND BACKWARD SCATTERING ON THE SPHERICAL ALBEDO FOR A FINITE PLANE-PARALLEL ATMOSPHERE (1979) (14)
The searchlight problem in radiation transport: Some analytical and computational results (1985) (14)
On the Transfer of Polarized Light in Rayleigh-Scattering Half Spaces with True Absorption (1971) (14)
RADIATIVE TRANSFER IN A CONSERVATIVE FINITE SLAB WITH AN INTERNAL SOURCE (1970) (13)
Couette flow of a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation (2008) (13)
A simplified implementation of the discrete-ordinates method for a class of problems in radiative transfer with polarization (2011) (13)
The temperature-jump problem based on the CES model of the linearized Boltzmann equation (2004) (13)
A particular solution for polarization calculations in radiative transfer (1993) (13)
On the scattering of polarized light (1982) (13)
Two half-space problems based on a synthetic-kernel model of the linearized Boltzmann equation (2002) (13)
A point source in a finite sphere (1979) (13)
On radiative-transfer problems with reflective boundary conditions and internal emission (1984) (13)
Concise and accurate solutions for Chandrasekhar's X and Y functions (1982) (13)
Two-group neutron-transport theory: Existence and uniqueness of the H-matrix (1972) (13)
An Exact Solution in the Theory of Line Formation (1969) (13)
Some solutions (linear in the spatial variables) and generalized Chapman–Enskog functions basic to the linearized Boltzmann equations for a binary mixture of rigid spheres (2007) (13)
A generalized spherical harmonics solution basic to the scattering of polarized light (1985) (12)
Solutions to an inverse problem in radiative transfer with polarization—I (1983) (12)
An analytical solution to a matrix Riemann-Hilbert problem (1980) (12)
A STABLE SHIFTED-LEGENDRE PROJECTION SCHEME FOR GENERATING PN BOUNDARY CONDITIONS (1996) (12)
One-speed transport theory for spherical media with internal sources and incident radiation (1975) (12)
Radiative transfer in a Rayleigh-scattering atmosphere with true absorption. (1970) (12)
TWO-GROUP CRITICAL PROBLEMS FOR SLABS AND SPHERES IN NEUTRON-TRANSPORT THEORY. (1973) (12)
A discrete-ordinates solution for multigroup transport theory with upscattering (2000) (12)
On the use of a nascent delta function in radiative-transfer calculations for multi-layer media subject to Fresnel boundary and interface conditions (2010) (12)
Channel Flow of a Binary Mixture of Rigid Spheres Described by the Linearized Boltzmann Equation and Driven by Temperature, Pressure, and Concentration Gradients (2007) (11)
The critical problem with high-order anisotropic scattering (2001) (11)
Inverse solutions to radiative-transfer problems based on the binomial or the Henyey-Greenstein scattering law (2002) (11)
A note on radiative transfer in a finite layer (2007) (11)
On Angular Flux Computations in Neutron-Transport Theory (1982) (11)
The FN method in atmospheric radiative transfer (1998) (11)
Matrix Reimann-Hilbert Problems Related to Neutron Transport Theory (1971) (10)
Numerical results concerning the effect of anisotropic scattering on the critical-slab problem (1981) (10)
On partial indices for a matrix Riemann-Hilbert problem (1982) (10)
Multigroup Transport Theory. I. Basic Analysis (1981) (10)
Half‐space analysis basic to the time‐dependent BGK model in the kinetic theory of gases (1977) (10)
The McCormack model for gas mixtures: Plane Couette flow (2005) (10)
A formulation of the linearized Boltzmann equations for a binary mixture of rigid spheres (2005) (10)
SPECTRAL-LINE FORMATION BY NONCOHERENT SCATTERING. (1970) (10)
Solutions of the equation zez = a(z + b) (1974) (10)
The Effect of Linearly Anisotropic Neutron Scattering on Disadvantage Factor Calculations (1969) (10)
An approximate solution concerning strong evaporation into a half space (1981) (10)
On Solutions of a Transcendental Equation Basic to the Theory of Vibrating Plates (1979) (10)
A method for computing the discrete spectrum basic to multi-group transport theory (1987) (9)
On the half-range orthogonality theorem appropriate to the scattering of polarized light (1972) (9)
SEVERAL PARTICULAR SOLUTIONS OF THE ONE-SPEED TRANSPORT EQUATION. (1970) (9)
On intensity calculations in radiative transfer (1993) (9)
Particle Transport Theory in a Finite Sphere Containing a Spherical-Shell Source (1983) (9)
The Fourier decomposition for a radiative-transfer problem with an asymmetrically reflecting ground (1996) (9)
Inverse problem for a finite slab (1978) (9)
Inverse solutions to radiative-transfer problems with partially transparent boundaries and diffuse reflection (2002) (9)
On computing the Chapman-Enskog and Burnett functions [rapid communication] (2004) (9)
The temperature-jump problem based on the linearized Boltzmann equation for a binary mixture of rigid spheres (2007) (8)
On unbounded eigenvalues in particle-transport theory (1983) (8)
An integral equation basic to the BGK model for flow in a cylindrical tube (2002) (8)
Neutron transport in two dissimilar media with anisotropic scattering (1976) (8)
On Solutions of an Equation of Transfer for a Planetary Atmosphere (1969) (8)
PARTICULAR SOLUTIONS OF THE EQUATION OF TRANSFER (1975) (8)
Determination of the single-scattering albedo from polarization measurements of a rayleigh atmosphere (1979) (8)
A concise and accurate solution for a polarization model in radiative transfer (1999) (8)
The FN method for polarization studies—II numerical results (1980) (8)
An Improved P-L Solution to the Reflected Critical-Reactor Problem in Slab Geometry (1977) (8)
A Multiregion calculation in the theory of neutron diffusion (1980) (8)
An Exact Analytical Solution of an Elementary Critical Condition (1973) (8)
Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres (2006) (8)
A NEW VERSION OF THE DISCRETE-ORDINATES METHOD (2001) (8)
The inverse problem for a finite Rayleigh-scattering atmosphere (1980) (7)
On double zeros ofx−tanh (a x+b) (1973) (7)
An analytical expression for the H matrix relevant to Rayleigh scattering (1981) (7)
On an exceptional case concerning plasma oscillations (1977) (7)
The complete solution for the scattering of polarized light in a Rayleigh and isotropically scattering atmosphere (1980) (7)
An Asymptotic Solution in the Theory of Neutron Moderation (1974) (7)
Some identities for Chandrasekhar polynomials (1997) (7)
Half-range orthogonality relations basic to the solution of time-dependent boundary value problems in the kinetic theory of gases (1978) (7)
Inverse problem for multigroup neutron transport theory (1977) (7)
ON THE CRITICAL PROBLEM FOR A TWO-REGION SPHERE. (1968) (7)
On multi-media calculations in the theory of neutron diffusion (1980) (7)
EXACT SOLUTION IN THE THEORY OF LINE FORMATION IN STELLAR ATMOSPHERES. (1967) (6)
An exact analytical solution of x coth x = α x2 + 1 (1976) (6)
The Half‐Space Green's Function for an Atmosphere with a Polarized Radiation Field (1967) (6)
A note on the P-N method with mark boundary conditions (1996) (6)
A particular solution for the PN method in spherical geometry (1991) (6)
AN EXACT EXPRESSION FOR THE WIEN DISPLACEMENT CONSTANT (1981) (6)
On the Albedo Problem for a Finite Plane-Parallel Rayleigh-Scattering At-Mosphere (1969) (6)
On Several Good Methods for Computing the Distortion Factor Relevant to a Foil Placed in an Exponentially Varying Flux (1978) (6)
The linearized Boltzmann equation with Cercignani–Lampis boundary conditions: Heat transfer in a gas confined by two plane-parallel surfaces ☆ (2015) (5)
On a problem of uniqueness regarding H-function calculations (1975) (5)
An exact solution of a transcendental equation basic to the theory of intermediate resonance absorption of neutrons (1973) (5)
On eigenvalue calculations for radiative transfer models that include polarization effects (1984) (5)
An exact analytical solution for the position-time relationship for an inverse-distance-squared force (1974) (5)
On using the FN method for polarization studies in finite plane-parallel atmospheres (1979) (5)
On a Rayleigh Scattering Problem in Stellar Atmospheres (1967) (5)
Analytical solutions to two matrix Riemann-Hilbert problems (1982) (5)
A Computationally Viable Version of the PN Method for Spheres (2017) (5)
Non-grey radiative heat transfer in conservative plane-parallel media with reflecting boundaries (1971) (5)
On computing the thermal-slip coefficient from Kramers’ problem (2004) (5)
The FN method for multigroup transport theory with upscattering (1998) (4)
Some evaluations of basic nodal-like schemes for a selection of classical problems in particle transport theory (2011) (4)
ON THE MILNE-PROBLEM EXTRAPOLATION DISTANCE. (1969) (4)
The discrete spectrum for radiative transfer with polarization (1987) (4)
On the use of the method with splines for radiative transfer problems (1988) (4)
TWO-GROUP NEUTRON TRANSPORT THEORY WITH ANISOTROPIC SCATTERING. (1972) (4)
Anisotropic Scattering Coefficients in the Constant Cross-Section Transport Equation (1967) (3)
cient eigenvalue calculations in radiative transfer (1999) (3)
AN EXACT SOLUTION OF THE EQUATIONS OF RADIATIVE TRANSFER (1965) (3)
The FN method for spectral-line formation by completely noncoherent scattering (1998) (3)
On Two-Group Critical Problems in Neutron-Transport Theory (1986) (3)
The Transport of Neutral Hydrogen Atoms in a Hydrogen Plasma (2000) (3)
Exact analytical solutions basic to a class of two-body orbits (1973) (3)
The H matrix for time-dependent problems in rarefied gas dynamics (1979) (3)
Non-gray radiative transfer in plane-parallel media with reflecting boundaries (1976) (3)
Flux-depression factors for scattering and absorbing media (1977) (3)
Further results concerning exact analytical solutions basic to two-body orbits (1974) (3)
Two-Group Neutron Transport Theory in Spherical Geometry (1969) (2)
On computing a class of integrals basic to the FN method in radiative transfer (1992) (2)
A note on radiative transfer (1982) (2)
On a Critical Condition (1973) (2)
On the solution of a tan (ζ−kπ) + tanh ζ = 0 (1979) (2)
Critical reactor problem for a reflected slab (1975) (2)
Non-gray radiative transfer (1974) (2)
F{sub N} method for solving transport problems (1994) (2)
The classical spherical-harmonics method in transport theory (1994) (2)
Half-space analysis basic to the linearized Boltzmann equation (1977) (2)
Particular solutions of the linearized Boltzmann equation for a binary mixture of rigid spheres (2008) (2)
On the solution of certain algebraic equations (1978) (2)
A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures (2006) (2)
A COMPUTATION OF THE X AND Y FUNCTIONS FOR A NON-GREY MODEL WITH COMPLETE FREQUENCY REDISTRIBUTION (1998) (1)
Linear Integral Equations for a Certain Class of H‐Functions Applicable to the Theory of Neutron Transport and Radiative Transfer (1970) (1)
Use and Evaluation of Psuedo-Geostationary Lightning Mapping Data within the 2010 Experimental Warning Program and GOES-R Proving Ground (2010) (1)
On the dispersion function for complex values of the parameter c (2014) (1)
Solutions of the Equation Ze' = A(z + B) (1)
Remarks on Half-Space Applications Regarding an Equation of Transfer for a Planetary Atmosphere (1969) (1)
ON EXTRAPOLATED ENDPOINTS IN THE TWO- GROUP THEORY OF NEUTRON DIFFUSION (1973) (1)
LATTICE PROBLEM IN ONE-SPEED NEUTRON TRANSPORT THEORY. (1968) (0)
On partial indices for a matrix (2004) (0)
Viscous-slip,thermal-slip,andtemperature-jumpcoefficientsbasedonthe linearizedBoltzmannequation(andfivekineticmodels)withthe CercignaniLampis boundarycondition (2010) (0)
On unbounded eigenvalues in particle-transport (1983) (0)
EXACT ANALYTICAL SOLUTIONS OF THE TRANSCENDENTAL EQUATION z sin (1973) (0)
A NEW APPROACH TO CHANDRASEKHAR'S SCATTERING MATRIX FOR A SEMI-INFINITE RAYLEIGH-SCATTERING ATMOSPHERE. (1968) (0)
On incorporating linear constraints intoH-matrix calculations (1978) (0)
Corrigenda to “A simplified implementation of the discrete-ordinates method for a class of problems in radiative transfer with polarization” [J Quant Spectrosc Radiat Transfer 2011;112:2801–13] (2012) (0)
THE CRITICAL PROBLEM FOR A TWO-REGION SPHERICAL REACTOR. (1968) (0)
Paul Frederick Zweifel (2017) (0)
MOMENTS OF CHANDRASEKHAR'S FUNCTIONS H/sub l/ AND H/sub r/. (1970) (0)
Biographical Memoir and Publications of Paul F. Zweifel (2018) (0)
Erratum: Half‐Range Expansion Theorems in Studies of Polarized Light (1971) (0)
The FN Method for Radiative Transfer Problems Without (1980) (0)
The discrete spectrum in azimuthally dependent transport theory (1989) (0)
The F/SUB N/ method for neutron transport in nonplanar geometries (1983) (0)

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What Schools Are Affiliated With Charles Edward Siewert?

Charles Edward Siewert is affiliated with the following schools:

North Carolina State University
University of Bologna
Virginia Tech

Charles Edward Siewert's Academic­Influence.com Rankings

Why Is Charles Edward Siewert Influential?

Charles Edward Siewert's Published Works

Published Works

What Schools Are Affiliated With Charles Edward Siewert?

Charles Edward Siewert's AcademicInfluence.com Rankings