mwang@watmath.UUCP (mwang) (05/08/84)
_U_N_I_V_E_R_S_I_T_Y _O_F _W_A_T_E_R_L_O_O
_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
_j_o_i_n_t_l_y _w_i_t_h
_D_e_p_a_r_t_m_e_n_t _o_f _E_l_e_c_t_r_i_c_a_l _E_n_g_i_n_e_e_r_i_n_g
Presents a Numerical Analysis Seminar on
Multirate Integration Methods, Theory and Implementation
with
Dr. Stig Skelboe
Institute of Datalog,
University of Copenhagen,
Copenhagen N, Denmark
DATE: Monday, May 14 and Tuesday, May 15, 1984 at 3:30 PM
ROOM: MC 6091A
ABSTRACT
In the simulation of many physical systems, the solu-
tion components can be separated in two or more groups
with widely varying rate of change. Classical discret-
ization methods use the same mesh for the discretiza-
tion of all parts of a system while multirate methods
adapt the mesh for each sub-system to the rate of
change of the variables describing that particular
sub-system.
This paper presents multirate integration formulas for
stiff systems of ordinary differential equations. The
multirate formulas are based on backward differentia-
tion formulas, and the principles of an experimental
implementation are discussed. The absolute stability
properties are analyzed using a 2x2 linear test equa-
tion system, and finally an example is given demon-
strating the performance of the experimental implemen-
tation.
For further information please contact Prof. P. Bryant
at ext. 3370.
May 8, 1984