Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields
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journal
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March 2014 |
Gauge properties of the guiding center variational symplectic integrator
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journal
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May 2012 |
Development of variational guiding center algorithms for parallel calculations in experimental magnetic equilibria
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journal
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April 2015 |
Hamiltonian time integrators for Vlasov-Maxwell equations
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journal
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December 2015 |
On variations in discrete mechanics and field theory
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journal
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January 2003 |
Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
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journal
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April 2002 |
Lifting of the Vlasov–Maxwell bracket by Lie-transform method
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journal
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December 2016 |
Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields
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journal
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January 2008 |
Geometric, variational discretization of continuum theories
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journal
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October 2011 |
Comment on “Hamiltonian splitting for the Vlasov–Maxwell equations”
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journal
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September 2015 |
A symplectic integration algorithm for separable Hamiltonian functions
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journal
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January 1991 |
Geometric Numerical Integration
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book
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January 2002 |
Hamiltonian formulation of guiding center motion
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journal
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January 1981 |
Hamiltonian gyrokinetic Vlasov–Maxwell system
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journal
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September 2015 |
The symplecticity of multi-step methods
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journal
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February 1993 |
A general theory for gauge-free lifting
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journal
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January 2013 |
Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational
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journal
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November 2015 |
Volume-preserving algorithm for secular relativistic dynamics of charged particles
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journal
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April 2015 |
Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations
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journal
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November 1999 |
Symplectic integration of Hamiltonian systems
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journal
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May 1990 |
Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov–Maxwell equations
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journal
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December 2015 |
What is the fate of runaway positrons in tokamaks?
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journal
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June 2014 |
Variational integration for ideal magnetohydrodynamics with built-in advection equations
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journal
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October 2014 |
KAM theorem of symplectic algorithms for Hamiltonian systems
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journal
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September 1999 |
Formation of current singularity in a topologically constrained plasma
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journal
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February 2016 |
Structure-preserving discretization of incompressible fluids
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journal
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March 2011 |
Parametric Excitation of Coupled Waves I. General Formulation
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journal
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April 1968 |
Hamiltonian structure of two-fluid plasma dynamics
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journal
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April 1982 |
A guiding center Hamiltonian: A new approach
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journal
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December 1979 |
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
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journal
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November 2015 |
Volume-preserving algorithms for charged particle dynamics
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journal
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January 2015 |
Difference equations and conservation laws
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journal
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March 1987 |
The Hamiltonian structure of the Maxwell-Vlasov equations
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journal
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March 1982 |
Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs
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journal
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December 1998 |
Multi-Symplectic Runge–Kutta Collocation Methods for Hamiltonian Wave Equations
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journal
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January 2000 |
Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
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journal
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September 1980 |
Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry
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journal
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April 2009 |
Smoothed Particle Hydrodynamics
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journal
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September 1992 |
Two-stream instability with time-dependent drift velocity
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journal
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June 2014 |
Variational principles of guiding centre motion
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journal
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February 1983 |
Poisson brackets for fluids and plasmas
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conference
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January 1982 |
Hamiltonian splitting for the Vlasov–Maxwell equations
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journal
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February 2015 |
Multi-symplectic structures and wave propagation
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journal
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January 1997 |
A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system
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journal
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October 2013 |
The Maxwell-Vlasov equations as a continuous hamiltonian system
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journal
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December 1980 |
Multisymplectic Geometry and Multisymplectic Scheme for the Nonlinear Klein Gordon Equation
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journal
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March 2001 |
The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems
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journal
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February 2013 |
A Can0nical Integrati0n Technique
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journal
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August 1983 |
Variational formulation of macro-particle plasma simulation algorithms
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journal
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May 2014 |
Smoothed Particle Magnetohydrodynamics - II. Variational principles and variable smoothing-length terms
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journal
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February 2004 |
Fourth-order symplectic integration
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journal
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May 1990 |
Can time be a discrete dynamical variable?
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journal
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March 1983 |
Discrete mechanics and variational integrators
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journal
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May 2001 |
Why is Boris algorithm so good?
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journal
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August 2013 |
Variational symplectic particle-in-cell simulation of nonlinear mode conversion from extraordinary waves to Bernstein waves
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journal
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September 2015 |
Lifting particle coordinate changes of magnetic moment type to Vlasov-Maxwell Hamiltonian dynamics
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journal
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March 2013 |
Construction of higher order symplectic integrators
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journal
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November 1990 |
Variational formulation of particle algorithms for kinetic plasma simulations
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journal
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July 2013 |
Multisymplecticity of the centred box discretization for hamiltonian PDEs with m ≥ 2 space dimensions
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journal
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November 2002 |
Construction of multisymplectic schemes of any finite order for modified wave equations
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journal
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November 2000 |
Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
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journal
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August 2012 |
Action principles for extended magnetohydrodynamic models
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journal
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September 2014 |
A spectral canonical electrostatic algorithm
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journal
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February 2016 |
Higher order volume-preserving schemes for charged particle dynamics
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journal
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January 2016 |
Phase-space dynamics of runaway electrons in tokamaks
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journal
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September 2010 |