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The Landau form of the Fokker-Planck equation is the gold standard for plasmas dominated by small angle collisions, however its $Order{N^2}$ work complexity has limited its practicality. This paper extends previous work on a fully conservative finite element method for this Landau collision operator with adaptive mesh refinement, optimized for vector machines, by porting the algorithm to the Cuda programming model with implementations in Cuda and Kokkos, and by reporting results within a Vlasov-Maxwell-Landau model of a plasma thermal quench. With new optimizations of the Landau kernel and ports of this kernel, the sparse matrix assembly and algebraic solver to Cuda, the cost of a well resolved Landau collision time advance is shown to be practical for kinetic plasma applications. This fully implicit Landau time integrator and the plasma quench model is available in the PETSc (Portable, Extensible, Toolkit for Scientific computing) numerical library.
An encoder-decoder neural network has been used to examine the possibility for acceleration of a partial integro-differential equation, the Fokker-Planck-Landau collision operator. This is part of the governing equation in the massively parallel part
A Landau fluid model for a collisionless electron-proton magnetized plasma, that accurately reproduces the dispersion relation and the Landau damping rate of all the magnetohydrodynamic waves, is presented. It is obtained by an accurate closure of th
A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring in distrib
We study the collision frequencies of particles in the weakly and highly ionized plasmas with the power-law q-distributions in nonextensive statistics. We derive the average collision frequencies of neutral-neutral particle, electron-neutral particle
The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic equations