Publications
Research Interests
My research is in kinetic theory and numerical mathematics. I work on ways to effectively and efficiently solve the (linear) transport equation. This includes the development of new spherical quadrature sets and ray effect mitigation techniques, such as rSN and as-SN.
Moreover, I'm interested in non-classical transport. Here, the assumptions that led to the classical linear transport equation do no longer hold and new, non-classical transport equations emerge. Material heterogeneities need to be incorporated into the equations in a way that models the dynamics of the underlying particle systems correctly.
Journal publications
Frank, M., Kusch, J., Camminady, T. and Hauck, C.D., 2020. Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering. Nuclear Science and Engineering, pp.1-18. (arXiv preprint here.)
Camminady, T., Frank, M., Küpper, K. and Kusch, J., 2019. Ray effect mitigation for the discrete ordinates method through quadrature rotation. Journal of Computational Physics, 382, pp.105-123. (arXiv preprint here.)
Proceedings
Additionally, here is a list of publications in PDF format. If you are unable to access a publication, I can send you a copy via email.