# Dr. Graham Kaland

## FU Berlin

### FB Mathematik und Informatik

### Numerical Analysis of Partial Differential Equations

### Researcher

Room 122

14195 Berlin

**Short CV:**

**November 2016 - present:** Postdoctoral research with Prof. Ralf Kornhuber's group here at Freie Universität Berlin

**2013 - October 2016:** Postdoctoral research with Prof. Martin Frank's group at MathCCES, RWTH Aachen University

**Wintersemester 2015/2016:** Temporary professor 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)

**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

Jump to: 2016 | 2015 | 2014 | 2012

## 2016

Pichard, T. and Alldredge, G. W. and Brull, S. and Dubroca, B. and Frank, M. (2016) *An approximation of the M_2 closure: application to radiotherapy dose simulation*. To Appear in Journal of Scientific Computing.

Kyrion, T. and Alldredge G. W. (2016) *Robust inversion methods for aerosol spectroscopy*. [arXiv:1606.01293]. Inverse Problems in Science and Engineering, 1-39.

Alldredge, G. W. and Li, R. and Li, W. (2016) *Approximating the M_2 method by the extended quadrature method of moments for radiative transfer in slab geometry*. Kinetic and Related Models, 9 (2). pp. 237-249. [arXiv:1507.01676]

Schneider, F. and Alldredge, G. and Kall, J. (2016) *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, 9 (1). pp. 193-215. ISSN Print: 1937-5093 [arXiv:1501.07765]

## 2015

Alldredge, G. and Schneider, F. (2015) *A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension*. Journal of Computational Physics, 295. pp. 665-684. [arXiv:1501.03660]; Supplementary material: Counting the number of facets in the numerically realizable set

## 2014

Schneider, F. and Alldredge, G. W. and Frank, M. and Klar, A. (2014) *Higher order mixed moment approximations for the Fokker-Planck equation in one space dimension*. SIAM Journal on Applied Mathematics, 74 (4). pp. 1087-1114. [arXiv:1405.5305]

Alldredge, G. W. and O'Leary, D. P. and Hauck, C. D. and Tits, A. L. (2014) *Adaptive change of basis in entropy-based moment closures for linear kinetic equations*. Journal of Computational Physics, 258. pp. 489-508. [arXiv:1306.2881]

## 2012

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