Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications
DOI10.4208/nmtma.OA-2021-0097zbMath1499.65304OpenAlexW4220765048MaRDI QIDQ5864778
Hongyu Liu, Geng Sun, Zaijiu Shang, Si-qing Gan
Publication date: 8 June 2022
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/nmtma.oa-2021-0097
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The non-existence of ten stage eighth order explicit Runge-Kutta methods
- Runge-Kutta schemes for Hamiltonian systems
- Canonical Runge-Kutta methods
- Sur la B-stabilité des méthodes de Runge-Kutta
- Perturbed collocation and Runge-Kutta methods
- A class of symplectic partitioned Runge-Kutta methods
- An eighth order Runge-Kutta process with eleven function evaluations per step
- Runge-Kutta-methods with expansion in even powers of h
- Solving Ordinary Differential Equations I
- The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems
- A Nonexistence Theorem for Explicit A-Stable Methods
- High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
- A note on Radau and Lobatto formulae for O.D.E.: s
- Stability Criteria for Implicit Runge–Kutta Methods
- On the Attainable Order of Runge-Kutta Methods
- Solutions of Differential Equations by Evaluations of Functions
- On Runge-Kutta processes of high order
- Some Explicit Runge”Kutta Methods of High Order
- Implicit Runge-Kutta Processes
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications