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Numerical algorithms for problems in analysis and algebra, scientific computation
6
votes
What is the right citation for the power iteration method to find eigenvalues?
Several researchers indicate that the power iteration method dates back to Herman Müntz. According to the survey aricle "Eigenvalue computation in the 20th century" by Golub and van der Vorst,
…
11
votes
When Have Numerology and Computational Experimentation Been Successful?
Three examples from the theory of dynamical systems (in a broad sense).
Edward Lorenz' almost accidental discovery of the first example of a strange attractor and the butterfly effect.
(s …
29
votes
Accepted
On the non-rigorous calculations of the trajectories in the moon landings
The existence of the Arenstorf Orbits was discovered in 1963 on the basis of numerical computations. The Arenstorf orbits appear as periodic solutions to the equations for the plane restricted three b …
2
votes
An optimization problem for points on the sphere (master's dissertation)
You might be interested in the recent article by Böröczky and Csikós concerning polytopes $P_n$ of $n$ facets with minimal surface area. They studied best approximations of a convex body $K\subset \ …