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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.01406 |
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| _version_ | 1866914012642410496 |
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| 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 |