•5.
Analytical methods in mechanics, especially celestial mechanics
Publications: Lehrbuch der darstellenden Geometrie, Basle
1947, Einführung
in die numerische Mathematik, Stuttgart 1961, Linear and Regular Celestial Mechanics,
Springer 1971
contributions to various math. periodicals
3.3
In all of
these areas Stiefel made truly original and fundamental contributions. In
fact, even as a newcomer to a field he was able to find a solution to some
important basic problem, and in retrospect, his solution was simple and
surprising at the same time.
With respect
to scientific computation, period 3 is the most important, but periods 4 and
5 must not be overlooked. The paramount contribution to numerical linear
algebra is of course the conjugate gradient algorithm introduced in the joint
paper with M. R. Hestenes and further investigated in a series of papers .
However, one should also mention Stiefels' promotion of the use of
variational principles for deriving the linear system from the physical
problem. With this approach he put difference methods on a common basis with
the finite-element method.
"Ambros
Speisers'( with Rutishauser his first collaborator at IAM) judgment in his
article “The Early Years of the Institute of Applied Mathematics”
Stiefel had a remarkable intuitive insight of what was to become important
in the future, an insight that he retained throughout his life. Without his
foresight, the Institute( for Applied Mathematics) would not have been
founded: None of his colleagues supported him, they followed, at a safe
distance, the curious events that were occurring in room 16d. There is no
doubt in my mind that Stiefel must be regarded as one of the outstanding
figures at ETH in the 50s and 60s of this century."