Superconvergence of projection integrators for conservative system
From MaRDI portal
Publication:6173317
DOI10.1016/j.jcp.2023.112281OpenAlexW4381384599MaRDI QIDQ6173317
Yu Shun Wang, Nan Lu, Wenjun Cai, Yonghui Bo
Publication date: 21 July 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112281
superconvergenceconservative systemsinvariant-preserving schemelinear integral methodsprojection integrator
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy-preserving methods for Poisson systems
- Linear energy-preserving integrators for Poisson systems
- Analysis of energy and quadratic invariant preserving (EQUIP) methods
- Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
- Supplementary variable method for thermodynamically consistent partial differential equations
- Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
- A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Stability of Runge-Kutta Methods for Trajectory Problems
- Geometric integration using discrete gradients
- Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae
- A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving
- L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points
- An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems
- A Sixth Order Averaged Vector Field Method
- Geometric Numerical Integration
- Integration Processes Based on Radau Quadrature Formulas