|
The
computation of the deformation of this dam under the pressure from the water
of one of the largest storage lakes in Switzerland was one of the first
outside orders which IAM received after its foundation in 1948.
Mathematically it involved the solution of a boundary value problem with a
two dimensional elliptic partial differential equation which could only be
computed by using relaxation methods. At the start when the programmable
computer Z4 was not yet available and only electromechanical calculators existed at the institute,
Southwells' point relaxation method was used. Stiefel engaged for this a
former German naval officer, Dr. F. Krantz, but he worked on the tedious
computations also personally. Often he followed the recommendation of a
famous instructor in the Swiss army
"If the 24 hours of the day are not sufficient for achieving your
work then use also the night" and computed during a whole night. Several
times I joined him in these strenuous
nightly exercises. I think that this rather dull and tiring effort also
motivated him to find a better method for solving the system of linear
equations. In support of this I found recently that David M. Young, one of
the developers of the successive overrelaxation method, stated in his article
“A historical review of relaxation methods” (published in “A history of
scientific computing”): „ my propensity for making
numerical errors was so strong that I knew that I would never be able to
solve significant problems except by machines “ and this
determined him to continue his PhD thesis on relaxation methods suitable for
the use with computers.
|