@Article{JCM-22-5, author = {Yang, Xu and Zhao, Jingjun and Mingzhu, Liu}, title = {$\mathcal{H}$-Stability of Runge-Kutta Methods with Variable Stepsize for System of Pantograph Equations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {5}, pages = {727--734}, abstract = {

This paper deals with $\mathcal{H}$-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient $A$ and stiffly accurate Runge-Kutta methods are $\mathcal{H}$-stable if and only if the modulus of stability function at infinity is less than 1.

}, issn = {1991-7139}, doi = {https://doi.org/2004-JCM-10299}, url = {https://global-sci.com/article/85257/mathcalh-stability-of-runge-kutta-methods-with-variable-stepsize-for-system-of-pantograph-equations} }