Implicit Runge-Kutta methods with explicit internal stages
From MaRDI portal
Publication:722392
DOI10.1134/S0965542518030119zbMath1458.65090OpenAlexW2796969642WikidataQ129980535 ScholiaQ129980535MaRDI QIDQ722392
Publication date: 23 July 2018
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542518030119
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
Related Items (1)
Uses Software
Cites Work
- Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems
- An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results
- Adaptive nested implicit Runge-Kutta formulas of Gauss type
- How to avoid accuracy and order reduction in Runge-Kutta methods as applied to stiff problems
- Singly diagonally implicit Runge-Kutta methods with an explicit first stage
- ARK methods for stiff problems
- Convergence of Runge-Kutta methods for differential-algebraic systems of index 3
- Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
- A class of one-step one-stage methods for stiff systems of ordinary differential equations
- On global error control in nested implicit Runge-Kutta methods of the gauss type
- Explicit multistep method for the numerical solution of stiff differential equations
- Numerical Methods for Ordinary Differential Equations
- Diagonally implicit Runge-Kutta methods for stiff problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Implicit Runge-Kutta methods with explicit internal stages
