Title of article :
Highly stable Runge–Kutta methods for Volterra integral equations
Author/Authors :
Izzo، نويسنده , , G. V. Russo، نويسنده , , E. and Chiapparelli، نويسنده , , C.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
We investigate the numerical stability of the class of Runge–Kutta methods for the solution of Volterra integral equations of the second kind. To this aim we introduce the definition of V 0 ( α ) -stability and a new technique to construct highly stable methods. V 0 -stable methods of order three and four are provided.
Keywords :
Runge–Kutta methods , Volterra integral equations , Linear stability analysis , Convolution test equation , V 0 -stability , V 0 ( ? ) -stability
Journal title :
Applied Numerical Mathematics
Journal title :
Applied Numerical Mathematics
