Dr. Kai Krycki

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

Email:Kai Krycki

Teaching

About me

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).

Research areas

  • 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

Publications

Journal Publications

  • 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.

Conference Proceedings

  • 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.

Theses

  • 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.
Last modified: 2017/04/03 14:54