activity
20132026
most citedStabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems

82 citations · 876 across the 71 of their papers we have counts for

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Showing 2015Show all

8 papers · 1 filter

physics.plasm-ph2015★ 3 cited

The initial value problem in Lagrangian drift kinetic theory

J. W. Burby

Existing high-order variational drift kinetic theories contain unphysical rapidly varying modes that are not seen at low-orders. These unphysical modes, which may be rapidly oscill…

math-ph2015★ 12 cited

Chasing Hamiltonian structure in gyrokinetic theory

J. W. Burby

Hamiltonian structure is pursued and uncovered in collisional and collisionless gyrokinetic theory. A new Hamiltonian formulation of collisionless electromagnetic theory is present…

physics.comp-ph2015★ 23 cited

Comment on "Symplectic integration of magnetic systems": a proof that the Boris algorithm is not variational

C. L. Ellison, J. W. Burby, H. Qin

The Boris algorithm for integrating charged particle trajectories in electric and magnetic fields is popular due to its simple implementation, rapid iteration, and observed long-te…

physics.plasm-ph2015★ 17 cited

Field theory and weak Euler-Lagrange equation for classical particle-field systems

Hong Qin, J. W. Burby, Ronald C. Davidson

It is commonly believed as a fundamental principle that energy-momentum conservation of a physical system is the result of space-time symmetry. However, for classical particle-fiel…

physics.acc-ph2015★ 5 cited

Spectral and structural stability properties of charged particle dynamics in coupled lattices

Hong Qin, Moses Chung, Ronald C. Davidson +1

It has been realized in recent years that coupled focusing lattices in accelerators and storage rings have significant advantages over conventional uncoupled focusing lattices, esp…

physics.acc-ph2015★ 19 cited

Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

Hong Qin, Ronald C. Davidson, J. W. Burby +1

The dynamics of charged particles in general linear focusing lattices with quadrupole, skew-quadrupole, dipole, and solenoidal components, as well as torsion of the fiducial orbit…

physics.plasm-ph2015★ 81 cited

Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system

Hong Qin, Jian Liu, Jianyuan Xiao +7

Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we…

physics.plasm-ph2015★ 23 cited

Energetically-consistent collisional gyrokinetics

J. W. Burby, A. J. Brizard, H. Qin

We present a formulation of collisional gyrokinetic theory with exact conservation laws for energy and canonical toroidal momentum. Collisions are accounted for by a nonlinear gyro…