Multiple-relaxation Runge Kutta methods for conservative dynamical systems
From MaRDI portal
Publication:6134433
DOI10.1007/s10915-023-02312-4zbMath1520.65056arXiv2302.05235OpenAlexW4385792197MaRDI QIDQ6134433
David I. Ketcheson, Abhijit Biswas
Publication date: 22 August 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.05235
Runge-Kutta methodsconservative systemsinvariants-preserving numerical methodsmultiple-relaxation RK methods
Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items
Cites Work
- Unnamed Item
- Error growth in the numerical integration of periodic orbits
- Invariants and numerical methods for ODEs
- Relaxation Runge-Kutta methods for Hamiltonian problems
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- High order embedded Runge-Kutta formulae
- Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
- Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. I
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations
- General relaxation methods for initial-value problems with application to multistep schemes
- Stability of Runge-Kutta Methods for Trajectory Problems
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
- On the Preservation of Invariants by Explicit Runge--Kutta Methods
- Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems
- The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
- Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Geometric Numerical Integration
- Multiple-relaxation Runge Kutta methods for conservative dynamical systems
