In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed ...In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ith s+ 1 param eters,w here sis the order of derivative.The necessary and sufficient conditions for these m ethods to be A-stable and exponentially fitted is proved.Furtherm ore,a class ofA-stable 2 param eters hybrid one-step m ethods oforderatleast 8 are constructed,w hich use 4th order derivative.These m ethods are exponentially fitted atq0 if and only if its fitted function f(q) satisfies f(q0)= 0.Finally,an A-stable exponentially fitted m ethod oforder 8 is obtained.展开更多
This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coef...This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coefficient multipliers of G p (0<p<1) and A p (0<p≤1) into some analytic function spaces are given. MR Subject Classification 30D - 30H05 - 46E Keywords analytic function space - Hadamard product - multiplier - operator展开更多
文摘In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ith s+ 1 param eters,w here sis the order of derivative.The necessary and sufficient conditions for these m ethods to be A-stable and exponentially fitted is proved.Furtherm ore,a class ofA-stable 2 param eters hybrid one-step m ethods oforderatleast 8 are constructed,w hich use 4th order derivative.These m ethods are exponentially fitted atq0 if and only if its fitted function f(q) satisfies f(q0)= 0.Finally,an A-stable exponentially fitted m ethod oforder 8 is obtained.
文摘This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0<p≤1, 0<q,α<∞ into some analytic function spaces. In corollaries, the characteristics of the coefficient multipliers of G p (0<p<1) and A p (0<p≤1) into some analytic function spaces are given. MR Subject Classification 30D - 30H05 - 46E Keywords analytic function space - Hadamard product - multiplier - operator
