mwang@watmath.UUCP (mwang) (02/07/84)
_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, February 9, 1984. Prof. W. Enright of the University of Toronto will speak on ``Exploiting Initial Value Expertise in the Solution of Two Point Boundary Value Problems.'' TIME: 3:30 PM ROOM: MC 5097 ABSTRACT In the past decade significant advances have been made in the development of efficient software for initial value problems in ODEs. In particular the performance of these methods is now much better understood and the user interface has evolved to the point that most methods are convenient to use by casual as well as so- phisticated users. In contrast the state-of-the-art of software for two-point boundary value problems is at a primitive level. The performance of such methods is not well understood (methods will frequently fail without warning) and they are difficult to use effec- tively without a detailed knowledge of the underlying algorithm. Experience and insights gained from the in- vestigation of initial value methods can be exploited when analysising and developing methods for boundary value problems. We will discuss some improvements that are suggested by this approach. February 7, 1984