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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, …
Andrey Rekalo's user avatar
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 …
Andrey Rekalo's user avatar
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 \ …
Andrey Rekalo's user avatar