شماره ركورد كنفرانس :
5362
عنوان مقاله :
On the stability of two-step Runge–Kutta methods
پديدآورندگان :
Mousavi Ayda a.moosavi1401@ms.tabrizu.ac.ir University of Tabriz , Abdi Ali a_abdi@tabrizu.ac.ir University of Tabriz
كليدواژه :
Two , step Runge–Kutta methods , Stability matrix , Stability region , Order conditions
عنوان كنفرانس :
دوازدهمين سمينار جبر خطي و كاربردهاي آن
چكيده فارسي :
Construction of efficient explicit two-step Runge–Kutta (TSRK) methods for ordinary differential equations is discussed. By obtaining the stability matrix of these methods, we present an overview of stability properties of such methods with the order p and stage order q = p. Some special conditions are then applied to obtain efficient methods with a large region of absolute stability.
