2 citations · 2 across the 6 of their papers we have counts for
6 papers
From Exact Space-Time Symmetry Conservation to Automatic Mesh Refinement in Discrete Initial Boundary Value Problems
Alexander Rothkopf, W. A. Horowitz, Jan Nordström
In this contribution we present recent developments in the formulation and solution of Initial Boundary Value Problems (IBVPs). Building upon a modern variational action formulatio…
The Non-Abelian Casimir Effect for Plates, Symmetrical Tube and Box on the Lattice
B. A. Ngwenya, A. K. Rothkopf, W. A. Horowitz
We present non-perturbative results of the Casimir potential in non-abelian SU(3) gauge theory in (2+1)D and (3+1)D in the confined and deconfined phase. For the first time, geomet…
Exact space-time symmetry conservation and automatic mesh refinement for classical lattice field theory
A. Rothkopf, W. A. Horowitz, J. Nordström
The breaking of space-time symmetries and the non-conservation of the associated Noether charges constitutes a central artifact in lattice field theory. In prior work we have shown…
Even More Generalized Hamiltonian Dynamics
W. A. Horowitz, A. Rothkopf
We establish the procedure to derive from an action-based variational principle the classical equations of motion in Hamiltonian phase space of a particle subject to general positi…
Exact symmetry conservation and automatic mesh refinement in discrete initial boundary value problems
Alexander Rothkopf, W. A. Horowitz, Jan Nordström
We present a novel solution procedure for initial boundary value problems. The procedure is based on an action principle, in which coordinate maps are included as dynamical degrees…
The crucial role of Lagrange multipliers in a space-time symmetry preserving discretization scheme for IVPs
Alexander Rothkopf, Jan Nordström
In a recently developed variational discretization scheme for second order initial value problems ( J. Comput. Phys. 498, 112652 (2024) ), it was shown that the Noether charge asso…