On the Stability of Filon–Clenshaw–Curtis Rules

Majidian, Hassan; Firouzi, Medina; Alipanah, Amjad

doi:10.1007/s41980-022-00681-4

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Other Advantages Of Fcc Rules1

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2022

2024

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Cited by 2 publications

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“…Thus, computing the derivatives is not necessarily a trivial task and imposes an extra computational cost. (4) One can study the stability of the FCC rules [15], but such study can be sophisticated for (adaptive) FCC+ rules.…”

Section: Other Advantages Of Fcc Rulesmentioning

confidence: 99%

A comparative study of Filon-type rules for oscillatory integrals

Majidian

2024

J. Numer. Anal. Approx. Theory

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Our aim is to answer the following question: "Among the Filon-type methods for computing oscillatory integrals, which one is the most efficient in practice?". We first discuss why we should seek the answer among the family of Filon-Clenshaw-Curtis rules. A theoretical analysis accompanied by a set of numerical experiments reveals that the plain Filon-Clenshaw-Curtis rules reach a given accuracy faster than the (adaptive) extended Filon-Clenshaw-Curtis rules. The comparison is based on the CPU run-time for certain wave numbers (medium and large).

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Section: Other Advantages Of Fcc Rulesmentioning

confidence: 99%