Two-step-by-two-step PIRK-type PC methods based on Gauss-Legendre collocation points
DOI10.1016/j.cam.2011.06.020zbMath1230.65084OpenAlexW2071076520MaRDI QIDQ645705
Nguyen Thu Thuy, Nguyen Huu Cong
Publication date: 10 November 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.06.020
stabilitynumerical examplesparallel computationRunge-Kutta methodspredictor-corrector methodsnonstiff initial-value problemsAdams-type formulas
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parallel methods for initial value problems
- Efficient block predictor-corrector methods with a small number of corrections
- Twostep-by-twostep PIRK-type PC methods with continuous output formulas
- Continuous variable stepsize explicit pseudo two-step RK methods
- Parallel block predictor-corrector methods of Runge-Kutta type
- Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial-value problems
- Parallel iterated methods based on multistep Runge-Kutta methods of Radau type
- An improvement for explicit parallel Runge-Kutta methods
- Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs
- Numerical experiments with some explicit pseudo two-step RK methods on a shared memory computer
- Parallel iteration of high-order Runge-Kutta methods with stepsize control
- A class of explicit parallel two-step Runge-Kutta methods
- Improved parallel-iterated pseudo two-step RK methods for nonstiff IVPs
- Solving Ordinary Differential Equations I
- Block Runge-Kutta Methods on Parallel Computers
- High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
- Parallel-Iterated RK-Type PC Methods With Continuous Output Formulas * This work was partly supported by N.R.P.F.S.
- Explicit pseudo two-step runge-kutta methods for parallel computers∗
- Comparing Numerical Methods for Ordinary Differential Equations
