35 citations · 59 across the 9 of their papers we have counts for
11 papers
Evolutionary Discovery of Sequence Acceleration Methods for Slab Geometry Neutron Transport
Japan K. Patel, Barry D. Ganapol, Anthony Magliari +2
We present a genetic programming approach to automatically discover convergence acceleration methods for discrete ordinates solutions of neutron transport problems in slab geometry…
Assessing Nonlinear Diffusion Acceleration for Boltzmann Fokker Planck Equation in Slab Geometry
Japan K. Patel, Barry D. Ganapol, Martha M. Matuszak
The convergence of Boltzmann Fokker Planck solution can become arbitrarily slow with iterative procedures like source iteration. This paper derives and investigates a nonlinear dif…
Matrix riccati equation solution of the 1d radiative transfer equation
Barry D. Ganapol, Japan Patel
In recent years, the first author has developed three successful numerical methods to solve the 1D radiative transport equation yielding highly precise benchmarks. The second autho…
Solution of the Monoenergetic Neutron Transport Equation in a Half Space
Barry Ganapol
The analytical solution of neutron transport equation has fascinated mathematicians and physicists alike since the Milne half-space problem was introduce in 1921 [1]. Numerous nume…
Towards a Multiphysics Model for Tumor Response to Combined-Hyperthermia-Radiotherapy Treatment
Japan K. Patel, Richard Vasques, Barry D. Ganapol
We develop a multiphysics-based model to predict the response of localized tumors to combined-hyperthermia-radiotherapy (CHR) treatment. This procedure combines hyperthermia (tumor…
A 1D Radiative Transfer Benchmark with Polarization via Doubling and Adding
B. D. Ganapol
Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiativ…
Particle Transport in a 3D duct by adding and doubling
Barry D. Ganapol
Particle transport through a duct by Lambertian reflection from duct walls is again considered. This popular transport example has been solved by most numerical transport methods e…
The Response Matrix Discrete Ordinates Solution to the 1D Radiative Transfer Equation
B. D. Ganapol
The discrete ordinates method (DOM) of solution to the 1D radiative transfer equation has been an effective method of solution for nearly 70 years. During that time, the method has…
The Fourier transform solution for the Green's function of monoenergetic neutron transport theory
Barry D. ganapol
Nearly 45 years ago, Ken Case published his seminal paper on the singular eigenfunction solution for the Green's function of the monoenergetic neutron transport equation with isotr…
Highly Accurate Solutions of the Blasius and Falkner-Skan Boundary Layer Equations via Convergence Acceleration
B. D. Ganapol
A new highly accurate algorithm for the solution of the Falkner-Skan equation of boundary layer theory is presented. The algorithm, based on a Maclaurin series representation, find…
An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly
Barry D. Ganapol
Proteinaceous aggregation occurs through self-assembly-- a process not entirely understood. In a recent article [1], an analytical theory for amyloid fibril growth via secondary ra…