Dr. Graham Alldredge

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

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)

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

• 2013 - present: Postdoctoral research with Prof. Martin Frank's group here at MathCCES, RWTH Aachen University
• Wintersemester 2015/2016: Temporary professor here at MathCCES, RWTH Aachen University
• 2007 - 2012: PhD at Institute for Systems Research at the University of Maryland, College Park (Advisors: André Tits and Cory Hauck)
• 2002 - 2007: BS / MS in Systems and Control Engineering at Case Western Reserve University, Cleveland, Ohio (Advisor: Michael S. Branicky)

• 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]
  

• G. W. Alldredge, F. Schneider, A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension. Journal of Computational Physics, Volume 295 August 2015, pp. 665-684. [DOI] [Preprint]; Supplementary material: Counting the number of facets in the numerically realizable set
  

• 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]
  

• G. W. Alldredge, C. D. Hauck, and A. L. Tits, High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem, SIAM Journal on Scientific Computing Vol. 34-4 (2012), pp. B361-B391.