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Convergence Acceleration Techniques

Numerical Analysis 2025-10-20 v2 Numerical Analysis Mathematical Physics math.MP

Abstract

This work describes numerical methods that are useful in many areas: examples include statistical modelling (bioinformatics, computational biology), theoretical physics, and even pure mathematics. The methods are primarily useful for the acceleration of slowly convergent and the summation of divergent series that are ubiquitous in relevant applications. The computing time is reduced in many cases by orders of magnitude.

Keywords

Cite

@article{arxiv.math/0202009,
  title  = {Convergence Acceleration Techniques},
  author = {U. D. Jentschura and S. V. Aksenov and P. J. Mohr and M. A. Savageau and G. Soff},
  journal= {arXiv preprint arXiv:math/0202009},
  year   = {2025}
}

Comments

6 pages, LaTeX; provides an easy-to-understand introduction to the field of convergence acceleration