相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。Energy behaviour of the Boris method for charged-particle dynamics
Ernst Hairer et al.
BIT NUMERICAL MATHEMATICS (2018)
Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
Bin Wang et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2017)
Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems
Lijie Mei et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
Explicit K-symplectic algorithms for charged particle dynamics
Yang He et al.
PHYSICS LETTERS A (2017)
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems
Bin Wang et al.
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2016)
Long-term analysis of the Stormer-Verlet method for Hamiltonian systems with a solution-dependent high frequency
Ernst Hairer et al.
NUMERISCHE MATHEMATIK (2016)
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
Molei Tao
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
EXPONENTIAL INTEGRATORS PRESERVING FIRST INTEGRALS OR LYAPUNOV FUNCTIONS FOR CONSERVATIVE OR DISSIPATIVE SYSTEMS
Yu-Wen Li et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)
Volume-preserving algorithms for charged particle dynamics
Yang He et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Comment on Symplectic integration of magnetic systems: A proof that the Boris algorithm is not variational
C. L. Ellison et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
David Cohen et al.
BIT NUMERICAL MATHEMATICS (2015)
DISCRETE GRADIENT METHODS HAVE AN ENERGY CONSERVATION LAW
Robert I. McLachlan et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2014)
Symplectic integration of magnetic systems
Stephen D. Webb
JOURNAL OF COMPUTATIONAL PHYSICS (2014)
Energy Separation in Oscillatory Hamiltonian Systems without any Non-resonance Condition
Ludwig Gauckler et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2013)
Why is Boris algorithm so good?
Hong Qin et al.
PHYSICS OF PLASMAS (2013)
A new high precision energy-preserving integrator for system of oscillatory second-order differential equations
Bin Wang et al.
PHYSICS LETTERS A (2012)
Energy-Preserving Integrators and the Structure of B-series
Elena Celledoni et al.
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2010)
Modulated Fourier expansions and heterogeneous multiscale methods
J. M. Sanz-Serna
IMA JOURNAL OF NUMERICAL ANALYSIS (2009)
Hamiltonian theory of guiding-center motion
John R. Cary et al.
REVIEWS OF MODERN PHYSICS (2009)
EXPONENTIAL ROSENBROCK-TYPE METHODS
Marlis Hochbruck et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations
David Cohen et al.
NUMERISCHE MATHEMATIK (2008)
Long-time energy conservation of numerical methods for oscillatory differential equations
E Hairer et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2000)
分享论文
