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- Publications
- Influence

Rotationally invariant quadratures for the sphere

- Cory Ahrens, G. Beylkin
- Mathematics
- Proceedings of the Royal Society A: Mathematical…
- 8 October 2009

We construct near-optimal quadratures for the sphere that are invariant under the icosahedral rotation group. These quadratures integrate all (N+1)2 linearly independent functions in a rotationally… Expand

Lagrange Discrete Ordinates: A New Angular Discretization for the Three-Dimensional Linear Boltzmann Equation

- Cory Ahrens
- Physics, Mathematics
- 15 May 2014

Abstract The classical Sn equations of Carlson and Lee have been a mainstay in multidimensional radiation transport calculations. In this paper, an alternative to the Sn equations, the “Lagrange… Expand

Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation.

- Cory Ahrens, M. Ablowitz, A. Docherty, Oleg V. Sinkin, V. Grigoryan, C. Menyuk
- Physics, Medicine
- Optics letters
- 2006

An asymptotic method for calculating the collision-induced frequency and timing shifts for quasi-linear pulses in return-to-zero, wavelength-division multiplexed systems with predispersion and… Expand

Assessment of the Lagrange Discrete Ordinates Equations for Three-Dimensional Neutron Transport

- K. Rowland, Cory Ahrens, S. Hamilton, R. Slaybaugh
- Physics
- 4 March 2019

Abstract The Lagrange Discrete Ordinates (LDO) equations, developed by Ahrens as an alternative to the traditional discrete ordinates formulation, have been implemented in Denovo, a three-dimensional… Expand

Periodic-Group-Delay Dispersion Compensation Reduces Collision-Induced Timing Shifts in Dispersion-Managed Quasilinear Systems

- M. Ablowitz, Cory Ahrens, G. Biondini, S. Chakravarty, A. Docherty
- Mathematics
- 1 July 2005

Periodic-group-delay (PGD) dispersion-compensation modules have recently been proposed as mechanisms to alleviate collision-induced timing shifts in dispersion-managed (DM) systems. We obtain… Expand

CORY AHRENS, GREGORY BEYLKIN AND KRISTIAN SANDBERG

- Cory Ahrens, G. Beylkin
- 2012

We use generalized Gaussian quadratures for exponentials to develop a new ODE solver. These generalized Gaussian quadratures integrate functions eibx for all |b| ≤ c, where the nodes and weights are… Expand

Resolving Rapid Variation in Energy for Particle Transport

- T. Haut, Cory Ahrens, A. Jonko, Andrew T. Till, R. Lowrie
- Physics
- 23 August 2016

Resolving the rapid variation in energy in neutron and thermal radiation transport is needed for the predictive simulation capability in high-energy density physics applications. Energy variation is… Expand