Dr. Kai Krycki

(Old website of a former member, who has left MathCCES, see also list of former members)

I am no longer a member of the MathCCES staff. For questions regarding my scientific work please send me an email.

Teaching

After my studies of mathematics with minor subject computer science at RWTH Aachen University I was a research assistant and PhD student in the group of Prof. Frank from June 2010 until March 2015. Furthermore, I was an associated fellow at the Aachen Institute of Advanced Study in Computational Engineering Science (AICES).

Non-classical photon transport in atmospheric clouds
Finite volume methods for classical and non-classical transport equations
Higher order generalized Riemann problem solvers for the non-classical transport equation
Modeling and simulation of non-classical transport processes
Derivation of mesoscopic transport equations from a microscopic stochastic dynamics
Uncertainty quantification and sensitivity analysis of the neutron transport equation
Uncertainty quantification and sensitivity analysis of dose deposition in radiotherapy
Gradient based parameter estimation methods for transport equations

R. Vasques, K. Krycki, R.N. Slaybaugh. Nonclassical particle transport in 1-D random periodic media, Nuclear Science and Engineering (accepted), arxiv:1602.00825 , 2016.
R. Barnard, M. Frank, K. Krycki: Sensitivity analysis for dose deposition in radiotherapy via a Fokker-Planck model, Mathematical Medicine and Biology, DOI:10.1093/imammb/dqv039, 2015.
M. Frank, K. Krycki, E. W. Larsen, R. Vasques: The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation, SIAM Journal on Applied Mathematics, Vol. 75, No. 3, pp. 1329-1345, DOI:10.1137/140999451, 2014.
K. Krycki, C. Berthon, M. Frank, R. Turpault: Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds, Mathematical Methods in the Applied Sciences, Vol. 36, No. 16, pp. 2101-2116, DOI:10.1002/mma.2733, 2013.

R. Vasques, R.N. Slaybaugh, K. Krycki, Nonclassical particle transport in the 1-D diffusive limit, Proceedings of the 2016 ANS Meeting in New Orleans, LA, June 2016, Transactions of the American Nuclear Society 114, pp. 361-364, 2016.
R. Vasques, K. Krycki: Boundary Conditions for the 1-D Non-Classical Transport Equation, submitted for the Proceedings of the International Conference on Transport Theory, Taormina (Italy), 2015.
R. Vasques, K. Krycki: Solving the 1D non-classical transport equation in random periodic media, accepted for the Proceedings of the Joint International Conference on Mathematics and Computation, Nashville (TN), 2015.
S.-C. Herber, K. Krycki, R. Barnard, A. Aures, H.-J. Allelein: Sensitivity Analysis of a Multigroup Neutron Spectral Code, Compact in the Proceedings of the JTK 2012.
K. Krycki, M. Frank: Numerical treatment of a non-classical transport equation modelling radiative transfer in atmospheric clouds, in Hyperbolic Problems, ch. 51, pp. 502-509, DOI:10.1142/9789814417099_0050 , World Scientific, 2012.

K. Krycki: Mathematical Modeling and Numerical Methods for Non-classical Transport in Correlated Media, Dissertation, RWTH Aachen University, 2015.
Kai Krycki: Nonlinear Evolutions with Carathéodory Forcing Term - Existence under time-dependent constraints with applications, Diploma Thesis, RWTH Aachen University, 2010.