Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
From MaRDI portal
Publication:2124557
DOI10.1016/j.jcp.2020.109599OpenAlexW3029332433MaRDI QIDQ2124557
Chol Sim, Kwang Sonwu, Chuchu Chen, Jialin Hong
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.10351
Related Items (5)
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 ⋮ A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications ⋮ The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs ⋮ A symplectic homotopy perturbation method for stochastic and interval Hamiltonian systems and its applications in structural dynamic systems
Uses Software
Cites Work
- Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations
- Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations
- Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations
- Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
- Runge-Kutta schemes for Hamiltonian systems
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Analysis of energy and quadratic invariant preserving (EQUIP) methods
- Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- Runge-Kutta projection methods with low dispersion and dissipation errors
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients
- Time integration and discrete Hamiltonian systems
- Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
- Line Integral Methods for Conservative Problems
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Geometric Numerical Integration
- Discrete mechanics and variational integrators
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Symplectic-energy-momentum preserving variational integrators
- Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae
- Solving Ordinary Differential Equations II
- Multi-symplectic Runge–Kutta-type methods for Hamiltonian wave equations
- The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
