Explicit exactly energy-conserving methods for Hamiltonian systems
From MaRDI portal
Publication:2099756
DOI10.1016/J.JCP.2022.111697OpenAlexW4283660016MaRDI QIDQ2099756
Michele Ducceschi, Stefan Bilbao, Fabiana Zama
Publication date: 18 November 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.12391
Hamiltonian systemsfinite difference methodsexplicit methodsgeometric numerical integrationenergy-conserving methods
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical problems in dynamical systems (65Pxx)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A two-step, fourth-order method with energy preserving properties
- Energy conserving, arbitrary order numerical solutions of the n-body problem
- Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string
- Hamiltonian-conserving discrete canonical equations based on variational difference quotients
- Explicit energy-conserving schemes for the three-body problem
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle
- Numerical solution of a nonlinear Klein-Gordon equation
- Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
- On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
- Solution of von Kármán dynamic nonlinear plate equations using a pseudo-spectral method.
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- The scalar auxiliary variable (SAV) approach for gradient flows
- Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach
- An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
- Wave turbulence theory of elastic plates
- Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
- Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- A revisit of the energy quadratization method with a relaxation technique
- Conservative numerical methods for \(\ddot x=f(x)\)
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Energy conservation with non-symplectic methods: examples and counter-examples
- Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models
- Dynamics of the wave turbulence spectrum in vibrating plates: A numerical investigation using a conservative finite difference scheme
- Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
- Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
- Exactly Conservative Integrators
- Geometric numerical integration illustrated by the Störmer–Verlet method
- Energy drift in reversible time integration
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- A family of conservative finite difference schemes for the dynamical von Karman plate equations
- A new class of energy-preserving numerical integration methods
- Geometric Numerical Integration
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
This page was built for publication: Explicit exactly energy-conserving methods for Hamiltonian systems
