4 papers
Z Pinch Kinetics II -- A Continuum Perspective: Betatron Heating and Self-Generation of Sheared Flows
D. W. Crews, E. T. Meier, U. Shumlak
Adiabatic compression of a self-magnetizing current filament (a Z pinch) is analyzed via the adiabatic invariants of its constituent cyclotron and betatron motions. Chew-Goldberger…
Effects of transitional orbit magnetization on transport and current in Z pinches
D. W. Crews, E. T. Meier, U. Shumlak
The azimuthal self-magnetic field of the ideal Z pinch contains a central magnetic null. Trajectories around this null govern transport in the core. Particles follow cyclotron orbi…
Arbitrarily high order implicit ODE integration by correcting a neural network approximation with Newton's method
D. W. Crews
As a method of universal approximation deep neural networks (DNNs) are capable of finding approximate solutions to problems posed with little more constraints than a suitably-posed…
Analysis of tensor-product discontinous Galerkin operators for Vlasov-Poisson simulations and GPU implementation on Python
D. W. Crews
The discontinuous Galerkin (DG) finite element method is conservative, lends itself well to parallelization, and is high-order accurate due to its close affinity with the theory of…