A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems
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Publication:2134707
DOI10.1016/j.jcp.2021.110822OpenAlexW3212944845MaRDI QIDQ2134707
Lijie Mei, Li Huang, Xin-Yuan Wu
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110822
Numerical methods for ordinary differential equations (65Lxx) Approximation methods and numerical treatment of dynamical systems (37Mxx) Numerical problems in dynamical systems (65Pxx)
Related Items (2)
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function ⋮ Arbitrarily high-order energy-conserving methods for Poisson problems
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Cites Work
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- A derivation of energy-preserving exponentially-fitted integrators for Poisson systems
- Energy-preserving methods for Poisson systems
- A simple framework for the derivation and analysis of effective one-step methods for ODEs
- Energy-preserving integrators for stochastic Poisson systems
- Linear energy-preserving integrators for Poisson systems
- Energy-preserving integrators and the structure of B-series
- Continuous finite element methods which preserve energy properties for nonlinear problems
- Structure preservation of exponentially fitted Runge-Kutta methods
- Achieving Brouwer's law with implicit Runge-Kutta methods
- Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
- Functionally-fitted energy-preserving integrators for Poisson systems
- The rate of error growth in Hamiltonian-conserving integrators
- New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions
- Exponential integrators with quadratic energy preservation for linear Poisson systems
- Time finite element methods: a unified framework for numerical discretizations of ODEs
- Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems
- A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs)
- On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems
- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems
- Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
- Numerical Integration of Lie--Poisson Systems While Preserving Coadjoint Orbits and Energy
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Preserving multiple first integrals by discrete gradients
- Solving Ordinary Differential Equations I
- Geometric integration using discrete gradients
- Discrete gradient methods for solving ODEs numerically while preserving a first integral
- Unified Approach to Hamiltonian Systems, Poisson Systems, Gradient Systems, and Systems with Lyapunov Functions or First Integrals
- Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
- Symmetric multistep methods for charged-particle dynamics
- A new class of energy-preserving numerical integration methods
- Geometric Numerical Integration
- Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems
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