Тема доклада - ON THE CONSTRUCTION OF GENERAL LINEAR METHODS FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS General linear methods can have favorable properties: it is possible to find A-stable methods of high stage order having a diagonally implicit scheme. This makes them ideal candidates for solving large stiff ODE systems arising from semi-discretized PDEs. In this talk we will review the construction of some implicit general linear methods. We will discuss variable step sizes and we will present some numerical results.