Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site watmath.UUCP Path: utzoo!watmath!mwang From: mwang@watmath.UUCP (mwang) Newsgroups: ont.events Subject: UW NA Seminar, Dr. Jackson on "The Convergence of Variable Order, Variable Step-Size Integrand Approximation Methods" Message-ID: <7416@watmath.UUCP> Date: Fri, 30-Mar-84 14:30:15 EST Article-I.D.: watmath.7416 Posted: Fri Mar 30 14:30:15 1984 Date-Received: Sat, 31-Mar-84 07:20:03 EST Expires: Sun, 8-Apr-84 00:00:00 EST Organization: U of Waterloo, Ontario Lines: 31 _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