mwang@watmath.UUCP (mwang) (02/28/84)
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_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
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- Thursday, March 8, 1984.
Prof. D.S. Swayne of The University of Guelph will
speak on ``Parallelism and Locally One-Dimensional
Methods for Heat-Conduction.''
TIME: 3:30 PM
ROOM: MC 6091A
ABSTRACT
Spatially discretised approximations to the time-
dependent heat-conduction equation result in a class of
stiff linear ordinary differential equations of
initial-value type whose coefficient matrices have par-
ticularly simple structure. Stable numerical algo-
rithms for such problems involve the solution of many
large systems of equations. Splitting of the ordinary
differential equation into two or more equations whose
coefficient matrices have simpler structure results in
well-known methods such as A(lternating) D(irection)
I(mplicit) and L(ocally) O(ne) D(imensional) schemes.
Boundary conditions and source terms then may require
special attention. The adaptation of methods based on
splitting to parallel (array and vector) computation
will be examined.
February 28, 1984