[ont.events] UW NA Seminar, Dr. Jackson on "The Convergence of Variable Order, Variable Step-Size Integrand Approximation Methods"

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