4 citations · 7 across the 11 of their papers we have counts for
5 papers · 1 filter
Galerkin Formulation of Path Integrals in Lattice Field Theory
Brian K. Tran, Ben S. Southworth
We present a mathematical framework for Galerkin formulations of path integrals in lattice field theory. The framework is based on using the degrees of freedom associated to a Gale…
Variational Principles for Hamiltonian Systems
Brian K. Tran, Melvin Leok
Motivated by recent developments in Hamiltonian variational principles, Hamiltonian variational integrators, and their applications such as to optimization and control, we present…
A Geometric Perspective on Kinetic Matter-Radiation Interaction and Moment Systems
Brian K. Tran, Joshua W. Burby, Ben S. Southworth
We provide a geometric perspective on the kinetic interaction of matter and radiation, based on a pair bracket approach. We discuss the interaction of kinetic theories via dissipat…
On Properties of Adjoint Systems for Evolutionary PDEs
Brian K. Tran, Ben S. Southworth, Melvin Leok
We investigate the geometric structure of adjoint systems associated with evolutionary partial differential equations at the fully continuous, semi-discrete, and fully discrete lev…
Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods
Brian K. Tran, Ben S. Southworth, Tommaso Buvoli
Recently a new class of nonlinearly partitioned Runge--Kutta (NPRK) methods was proposed for nonlinearly partitioned systems of autonomous ordinary differential equations, $y' = F(…