论文信息 - Parallel iteration of high-order Runge-Kutta methods with stepsize control - 字舞流文

Parallel iteration of high-order Runge-Kutta methods with stepsize control

P. Houwen | B. Sommeijer

[1] J. Butcher. Implicit Runge-Kutta processes , 1964 .

[2] E. Fehlberg. Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control , 1968 .

[3] T. E. Hull,et al. Comparing Numerical Methods for Ordinary Differential Equations , 1972 .

[4] A. R. Curtis. High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations , 1975 .

[5] Ernst Hairer,et al. A Runge-Kutta Method of Order 10 , 1978 .

[6] J. Dormand,et al. High order embedded Runge-Kutta formulae , 1981 .

[7] F. Krogh,et al. Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.

[8] P. J. van der Houwen,et al. Note on explicit parallel multistep Runge-Kutta methods , 1988 .

[9] Harald H. Simonsen,et al. Aspects of parallel Runge-Kutta methods , 1989 .

[10] A. Iserles,et al. On the Theory of Parallel Runge—Kutta Methods , 1990 .