Abstract
Using W-transformation of Hairer and Wanner, high-order implicit Runge–Kutta methods based on Radau quadrature are studied. Methods constructed and presented include and extend the existing RadauIA, IB, IIA, IIB type RK methods. 2- and 3-stage general Radau RK methods with two parameters (δ, γ) are constructed. The RK methods with five parameters (α, β, γ, δ, τ), which include both Radau and Lobatto type methods, will be discussed at last.
Acknowledgements
This paper is supported by the National Natural Science Foundation of China (10671047) and of HIT (200713).