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Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics.
R. G. Littlejohn. Variational principles of guiding centre motion. Journal of Plasma Physics
1983
Earlier work this paper cites.
L. Brugnano. Blended Block BVMs (B 3 VMs): a family of economical implicit methods for ODEs. J. Comput. Appl. Math
2000
Earlier work this paper cites.
2001
Earlier work this paper cites.
L. Brugnano, C. Magherini. Blended Implementation of Block Implicit Methods for ODEs. Appl. Numer. Math
2002
Earlier work this paper cites.
L. Brugnano, C. Magherini. The BiM Code for the Numerical Solution of ODEs. J. Comput. Appl. Math
2004
Earlier work this paper cites.
L. Brugnano, C. Magherini, F. Mugnai. Blended Implicit Methods for the Numerical Solution of DAE Problems. J. Comput. Appl. Math
2006
Earlier work this paper cites.
F. Iavernaro, B. Pace. s-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type. AIP Conf. Proc
2007
Earlier work this paper cites.
G. Dahlquist, Å. Björk. Numerical Methods in Scientific Computing. Volume I
2008
Earlier work this paper cites.
F. Iavernaro, B. Pace. Conservative Block-Boundary Value Methods for the Solution of Polynomial Hamiltonian Systems. AIP Conf. Proc
2008
Earlier work this paper cites.
L. Brugnano, F. Iavernaro, T. Susca. Hamiltonian BVMs (HBVMs): implementation details and applications. AIP Conf. Proc
2009
Earlier work this paper cites.
L. Brugnano, F. Iavernaro, D. Trigiante. Hamiltonian BVMs (HBVMs): A family of “drift-free” methods for integrating polynomial Hamiltonian systems. AIP Conf. Proc
2009
Cited alongside, same era.
L. Brugnano, C. Magherini. Recent Advances in Linear Analysis of Convergence for Splittings for Solving ODE problems. Appl. Numer. Math
2009
Cited alongside, same era.
F. Iavernaro, D. Trigiante. High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems. J. Numer. Anal. Ind. Appl. Math
2009
Cited alongside, same era.
L. Brugnano, F. Iavernaro, D. Trigiante. Hamiltonian Boundary Value Methods (Energy Preserving Discrete Line Integral Methods). JNAIAM J. Numer. Anal. Ind. Appl. Math
2010
Cited alongside, same era.
L. Brugnano, F. Iavernaro, D. Trigiante. A note on the efficient implementation of Hamiltonian BVMs. J. Comput. Appl. Math
L. Brugnano, F. Iavernaro. Line Integral Methods for Conservative Problems
2016
Later among the works it cites.
L. Brugnano, F. Iavernaro. Line Integral Solution of Differential Problems. Axioms
2018
Later among the works it cites.
P. Amodio, L. Brugnano, F. Iavernaro. A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). Appl. Math. Comput
2019
Later among the works it cites.
P. Amodio, L. Brugnano, F. Iavernaro. Spectrally accurate solutions of nonlinear fractional initial value problems. AIP Conference Proceedings
2019
Later among the works it cites.
P. Amodio, L. Brugnano, F. Iavernaro. Analysis of Spectral Hamiltonian Boundary Value Methods (SHBVMs) for the numerical solution of ODE problems. Numer. Algor
2019
Later among the works it cites.
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2011
Cited alongside, same era.
D. Cohen, E. Hairer. Linear energy-preserving integrators for Poisson systems. BIT Numer. Math
2011
Cited alongside, same era.
L. Brugnano, M. Calvo, J.I. Montijano, L. Rández. Energy preserving methods for Poisson systems. J. Comput. Appl. Math
2012
Cited alongside, same era.
L. Brugnano, F. Iavernaro, D. Trigiante. A simple framework for the derivation and analysis of effective one-step methods for ODEs. Appl. Math. Comput
2012
Cited alongside, same era.
L. Brugnano, G. Frasca-Caccia, F. Iavernaro. Efficient implementation of Gauss collocation and Hamiltonian Boundary Value Methods. Numer. Algorithms
2014
Cited alongside, same era.
R. Zhang, J. Liu, Y. Tang, H. Qin, J. Xiao, B. Zhu. Canonicalization and symplectic simulation of the gyrocenter dynamics in time- independent magnetic fields. Physics of Plasmas
2014
Cited alongside, same era.
L. Brugnano, G. Frasca-Caccia, F. Iavernaro. Line Integral Solution of Hamiltonian PDEs. Mathematics
2019
Later among the works it cites.
L. Brugnano, F. Iavernaro, J.I. Montijano, L. Rández. Spectrally accurate space-time solution of Hamiltonian PDEs. Numer. Algorithms
2019
Later among the works it cites.
L. Brugnano, J.I. Montijano, L. Rández. On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems. Numer. Algorithms
2019
Later among the works it cites.
L. Brugnano, J.I. Montijano, L. Rández. High-order energy-conserving Line Integral Methods for charged particle dynamics. J. Comput. Phys
2019
Later among the works it cites.
R. Zhang, J. Liu, H. Qin, Y. Tang. Energy-preserving algorithm for gyrocenter dynamics of charged particles. Numer. Algorithms
2019
Later among the works it cites.