Dr. Graham Alldredge

MathCCES
Department of Mathematics
RWTH Aachen University
Schinkelstr. 2
D-52062 Aachen
Germany

Room: 325 (Rogowski building, 3nd floor)
Phone: +49 (0)241 80 98 662
Email: alldredge [at] mathcces.rwth-aachen.de


My CV (Updated July 2016)

Research Interests

Moment closures for kinetic equations:

  • Robust numerical methods for the moment-constrained entropy minimization problem
  • Moment realizability conditions (generalizations of the Hausdorff moment problem)
  • Realizability limiting
  • Novel moment-defining bases
  • Numerical methods for the resulting PDEs


Short Bio


Publications

  • T. Pichard, G.W. Alldredge, S. Brull, B. Dubroca, M. Frank, An approximation of the M_2 closure: application to radiotherapy dose simulation. To appear in the Journal of Scientific Computing, 2016.
  • T. Kyrion, G. Alldredge, Robust inversion methods for aerosol spectroscopy. To appear in Inverse Problems in Science and Engineering, 2016. [Preprint]
  • G. W. Alldredge, R. Li, W. Li, Approximating the M_2 method by the extended quadrature method of moments for radiative transfer in slab geometry. Kinetic and Related Models, Volume 9-2 June 2016, pp. 237-249. [DOI] [Preprint]
  • F. Schneider, G. Alldredge, J. Kall, A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry. Kinetic and Related Models, Volume 9-1 March 2016, pp. 193-215. [Preprint]
  • F. Schneider, G. W. Alldredge, M. Frank, A. Klar, Higher order mixed moment approximations for the Fokker-Planck equation in one space dimension. SIAM Journal on Applied Mathematics, Vol. 74-4 (2014), pp. 1087-1114. [Preprint]
  • G. W. Alldredge, D. P. O'Leary, C. D. Hauck, and A. L. Tits, Adaptive change of basis in entropy-based moment closures for linear kinetic equations. Journal of Computational Physics, Volume 258 February 2014, pp. 489-508. [Preprint]


Last modified: 2016/07/21 11:04