mwang@watmath.UUCP (mwang) (01/25/84)
_D_E_P_A_R_T_M_E_N_T _O_F _C_O_M_P_U_T_E_R _S_C_I_E_N_C_E _U_N_I_V_E_R_S_I_T_Y _O_F _W_A_T_E_R_L_O_O _S_E_M_I_N_A_R _A_C_T_I_V_I_T_I_E_S _N_U_M_E_R_I_C_A_L _A_N_A_L_Y_S_I_S _S_E_M_I_N_A_R - Thursday, January 26, 1984. Prof. S.P. N"orsett of this department will speak on ``Semi Implicit Runge Kutta Methods, Nonlinear Stabili- ty and Implementation. Part 1.'' TIME: 3:30 PM ROOM: MC 5097 ABSTRACT The design of nonlinearly stable SDIRK-methods for stiff systems of ODE's with imbedded local error esti- mators is discussed. The stability properties and ef- ficiency considerations are important design features. Special interpolation formulae for output purposes and for use as predictors for the modified Newton processes are presented. This lecture is followed by a Part 2 where the imple- mentation of the methods will be discussed. This will take place on February 2 as the second talk in this series. January 24, 1984