kiihdytysmenetelmä
Kiihdytysmenetelmä, meaning acceleration method in Finnish, refers to a general approach in various fields, particularly in mathematics and physics, to speed up the convergence of sequences or series. Instead of directly computing terms of a sequence or partial sums of a series, an acceleration method transforms the original sequence into a new one that converges to the same limit but at a much faster rate. This can significantly reduce the computational effort required to obtain a desired level of accuracy.
The core idea behind most acceleration methods is to exploit the structure of the convergence. If a
One of the most well-known and widely used acceleration methods is Aitken's delta-squared process. This method
Acceleration methods find applications in diverse areas, including numerical analysis for solving equations, eigenvalue problems, and