A new stepsize strategy for explicit Runge-Kutta codes
From MaRDI portal
Publication:1899295
DOI10.1007/BF03028367zbMath0833.65086OpenAlexW2084052738MaRDI QIDQ1899295
Publication date: 9 October 1995
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03028367
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items
A fourth order Runge–Kutta RK(4,4) method with error control, An adaptive step size controller for iterative implicit methods, Equilibrium states for predictor-corrector methods, Modified order and stepsize strategies in Adams codes, Alternative stepsize strategies for Adams predictor-corrector codes, Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Embedded Runge-Kutta formulae with stable equilibrium states
- A PI stepsize control for the numerical solution of ordinary differential equations
- A family of embedded Runge-Kutta formulae
- High order embedded Runge-Kutta formulae
- Equilibrium states of Runge Kutta schemes
- Analysis of Stepsize Selection Schemes for Runge-Kutta Codes
- On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
- Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods