AN-stability of ROW methods

P. D. Shirkov


Abstract: Investigation of AN-stability of 2- and 3-stages ROW-methods have been done with the usage of LN equivalency of schemes of different classes. There was constructed AN - stable ROW method of 2-nd order, which is based on BN-stable Diagonal Implicit Runge-Kutta (DIRK) scheme. This method allows estimating the local truncation error.