activity
20142024
most citedThe Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

9 citations · 22 across the 8 of their papers we have counts for

collaborators

9 papers

math.NA2024

Numerical Robustness of PINNs for Multiscale Transport Equations

Alexander Jesser, Kai Krycki, Ryan G. McClarren +1

We investigate the numerical solution of multiscale transport equations using Physics Informed Neural Networks (PINNs) with ReLU activation functions. Therefore, we study the analo…

cs.LG2024

PGNAA Spectral Classification of Aluminium and Copper Alloys with Machine Learning

Henrik Folz, Joshua Henjes, Annika Heuer +7

In this paper, we explore the optimization of metal recycling with a focus on real-time differentiation between alloys of copper and aluminium. Spectral data, obtained through Prom…

cs.LG2022★ 2 cited

"Prompt-Gamma Neutron Activation Analysis (PGNAA)" Metal Spectral Classification using Deep Learning Method

Ka Yung Cheng, Helmand Shayan, Kai Krycki +1

There is a pressing market demand to minimize the test time of Prompt Gamma Neutron Activation Analysis (PGNAA) spectra measurement machine, so that it could function as an instant…

cs.LG2022★ 1 cited

PGNAA Spectral Classification of Metal with Density Estimations

Helmand Shayan, Kai Krycki, Marco Doemeland +1

For environmental, sustainable economic and political reasons, recycling processes are becoming increasingly important, aiming at a much higher use of secondary raw materials. Curr…

nucl-th2016★ 7 cited

Nonclassical Particle Transport in 1-D Random Periodic Media

Richard Vasques, Kai Krycki, Rachel N. Slaybaugh

We investigate the accuracy of the recently proposed nonclassical transport equation. This equation contains an extra independent variable compared to the classical transport equat…

nucl-th2016

Nonclassical Particle Transport in the 1-D Diffusive Limit

Richard Vasques, Rachel Slaybaugh, Kai Krycki

This paper provides numerical results that demonstrate the validity of the nonclassical diffusion approximation to the nonclassical transport equation in certain 1-D diffusive syst…

math-ph2014★ 9 cited

The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

Martin Frank, Kai Krycki, Edward W. Larsen +1

We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented…

cond-mat.dis-nn2014★ 3 cited

On the Accuracy of the Non-Classical Transport Equation in 1-D Random Periodic Media

Richard Vasques, Kai Krycki

We present a first numerical investigation of the accuracy of the recently proposed {\em non-classical transport equation}. This equation contains an extra independent variable (th…

math.NA2014

Sensitivity analysis for dose deposition in radiotherapy via a Fokker-Planck model

Richard C. Barnard, Martin Frank, Kai Krycki

In this paper we study the sensitivities of electron dose calculations with respect to the stopping power and the transport coefficients. We focus on the application to radiotherap…