mwang@watmath.UUCP (mwang) (03/30/84)
_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, April 5, 1984. Dr. K. Jackson of the University of Toronto will speak on ``The Convergence of Variable Order, Variable Step- Size Integrand Approximation Methods''. TIME: 3:30 PM ROOM: MC 6091A ABSTRACT It is well known that variable order, variable step- size multistep methods may diverge if the step-size and/or order changes are not constrained. Suitable constraints have been developed for various classes of multistep methods by several authors. We develop a theory for a sub class of these methods, the integrand approximation methods, which leads to an alternate analysis for this sub class of variable step-size, variable order methods which includes the Adams and Enright's second derivative methods. March 30, 1984