36 citations · 49 across the 4 of their papers we have counts for
4 papers
Evaluating High Order Discontinuous Galerkin Discretization of the Boltzmann Collision Integral in Operations Using the Discrete Fourier Transform
Alexander Alekseenko, Jeffrey Limbacher
We present a numerical algorithm for evaluating the Boltzmann collision operator with operations based on high order discontinuous Galerkin discretizations in the velocity…
Deterministic Solution of the Boltzmann Equation Using Discontinuous Galerkin Discretizations in Velocity Space
Alexander Alekseenko, Eswar Josyula
We present a new deterministic approach for the solution of the Boltzmann kinetic equation based on nodal discontinuous Galerkin (DG) discretizations in velocity space. In the new…
Constraint preserving boundary conditions for the linearized BSSN formulation
Alexander M. Alekseenko
We derive two sets of explicit algebraic constraint preserving boundary conditions for the linearized BSSN system. The approach can be generalized to inhomogeneous differential and…
New first-order formulation for the Einstein equations
A. M. Alekseenko, D. N. Arnold
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than other first-order formulations that have been proposed. The new formulation is b…