High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system
DOI10.1007/s10910-023-01536-xOpenAlexW4388623037MaRDI QIDQ6144533
Chang Ying Liu, Yong Lei Fang, Jiashang Yu, Yumeng Tang
Publication date: 29 January 2024
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-023-01536-x
symmetrysecond-order Hamiltonian systemsenergy-preserving integratorcollocation integratorcontinuous-stage Runge-Kutta-Nyström method
Symmetries, invariants of ordinary differential equations (34C14) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Volume preservation by Runge-Kutta methods
- Symplectic integration of magnetic systems
- An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems
- Energy-preserving integrators and the structure of B-series
- Volume-preserving algorithms for charged particle dynamics
- Runge-Kutta schemes for Hamiltonian systems
- Construction of higher order symplectic schemes by composition
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations
- Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations
- Volume-preserving algorithms for source-free dynamical systems
- Explicit volume-preserving splitting methods for polynomial divergence-free vector fields
- Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations
- Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems
- Volume-preserving exponential integrators and their applications
- An efficient energy-preserving algorithm for the Lorentz force system
- Symmetric integrators based on continuous-stage Runge-Kutta-Nyström methods for reversible systems
- High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods
- A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs)
- Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods
- Time integration and discrete Hamiltonian systems
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Spectral Methods
- Solving Ordinary Differential Equations I
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field
- A new class of energy-preserving numerical integration methods
- Geometric Numerical Integration
- A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems
- Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems
- Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems With Holonomic Constraints
- Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems
- Volume-preserving integrators
This page was built for publication: High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system
