2 citations · 4 across the 11 of their papers we have counts for
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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…
Variational approach to nonholonomic and inequality-constrained mechanics
A. Rothkopf, W. A. Horowitz
Variational principles play a central role in classical mechanics, providing compact formulations of dynamics and direct access to conserved quantities. While holonomic systems adm…
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…