Fractional-step Runge-Kutta methods: representation and linear stability analysis
From MaRDI portal
Publication:2681110
DOI10.1016/j.jcp.2022.111900OpenAlexW4313463095MaRDI QIDQ2681110
Publication date: 10 February 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06365
linear stability analysisimplicit-explicit methodsoperator-splittingfractional-step methodsgeneralized-structure additive Runge-Kutta methods
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- SUNDIALS
- High order operator splitting methods based on an integral deferred correction framework
- Approximation of semi-groups of operators
- Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems
- Studies of the accuracy of time integration methods for reaction-diffusion equations.
- Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- A unified formulation of splitting-based implicit time integration schemes
- An overview of projection methods for incompressible flows
- A Generalized-Structure Approach to Additive Runge--Kutta Methods
- Splitting methods
- Additive Methods for the Numerical Solution of Ordinary Differential Equations
- Nth-Order Operator Splitting Schemes and Nonreversible Systems
- Balanced Splitting and Rebalanced Splitting
- Geometric Numerical Integration
- On the Construction and Comparison of Difference Schemes