This paper deals with the numerical stability of systems concerning multide- lay differential equations (MDDEs) with variable-coefficient, for which some new concepts of stability such as ANf(m)-stability and (strong)...This paper deals with the numerical stability of systems concerning multide- lay differential equations (MDDEs) with variable-coefficient, for which some new concepts of stability such as ANf(m)-stability and (strong) GPNm-stability are introduced. The approach yields some criteria on (strong) GPNm-stability for Runge-Kutta methods to MDDEs.展开更多
文摘This paper deals with the numerical stability of systems concerning multide- lay differential equations (MDDEs) with variable-coefficient, for which some new concepts of stability such as ANf(m)-stability and (strong) GPNm-stability are introduced. The approach yields some criteria on (strong) GPNm-stability for Runge-Kutta methods to MDDEs.