Accelerating Convergence in Series and Infinite Integrals: Revisiting Levin and Sidi's Contributions
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914012642410496 |
|---|---|
| author | Levin, David |
| author_facet | Levin, David |
| contents | The evaluation of slowly converging series and infinite integrals is a key challenge in numerical analysis and computational mathematics. In their influential 1981 paper, the author and Avram Sidi introduced two effective nonlinear transformations, the d-transformation for series and the D-transformation for infinite integrals, aimed at speeding up their convergence. This review summarizes, contextualizes, and evaluates their contributions, highlighting the mathematical basis, practical significance, and legacy of their work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accelerating Convergence in Series and Infinite Integrals: Revisiting Levin and Sidi's Contributions Levin, David Numerical Analysis 40A05, 40A20, 65D30 The evaluation of slowly converging series and infinite integrals is a key challenge in numerical analysis and computational mathematics. In their influential 1981 paper, the author and Avram Sidi introduced two effective nonlinear transformations, the d-transformation for series and the D-transformation for infinite integrals, aimed at speeding up their convergence. This review summarizes, contextualizes, and evaluates their contributions, highlighting the mathematical basis, practical significance, and legacy of their work. |
| title | Accelerating Convergence in Series and Infinite Integrals: Revisiting Levin and Sidi's Contributions |
| topic | Numerical Analysis 40A05, 40A20, 65D30 |
| url | https://arxiv.org/abs/2508.01406 |