Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Roy M. Howard"'
Autor:
Roy M. Howard
Publikováno v:
AppliedMath, Vol 4, Iss 2, Pp 743-762 (2024)
The relationship between the inverse Langevin function and the proposed r0-r1-Lambert W function is defined. The derived relationship leads to new approximations for the inverse Langevin function with lower relative error bounds than comparable publi
Externí odkaz:
https://doaj.org/article/664a1eb6875247cb8f48c55cf238a591
Autor:
Roy M. Howard
Publikováno v:
AppliedMath, Vol 3, Iss 2, Pp 343-394 (2023)
Based on the geometry of a radial function, a sequence of approximations for arcsine, arccosine and arctangent are detailed. The approximations for arcsine and arccosine are sharp at the points zero and one. Convergence of the approximations is prove
Externí odkaz:
https://doaj.org/article/af53beb1652143b9bcdbef2fff35b809
Autor:
Roy M. Howard
Publikováno v:
Axioms, Vol 12, Iss 11, p 1042 (2023)
Schröder approximations of the first kind, modified for the inverse function approximation case, are utilized to establish general analytical approximation forms for an inverse function. Such general forms are used to establish arbitrarily accurate
Externí odkaz:
https://doaj.org/article/fc626e52c5384defb25a2cc46372e299
Autor:
Roy M. Howard
Publikováno v:
European Journal of Mathematical Analysis, Vol 2, Pp 14-14 (2022)
A geometric based approach for specifying approximations to the Lambert W function, which can achieve any set relative error bound over the interval [0, ∞), is detailed. Approximations that can achieve arbitrarily high accuracy for the interval [-1
Externí odkaz:
https://doaj.org/article/ec9477a390d14dff89d1d4240e94562f
Autor:
Roy M. Howard
Publikováno v:
Mathematical and Computational Applications, Vol 27, Iss 1, p 14 (2022)
A spline-based integral approximation is utilized to define a sequence of approximations to the error function that converge at a significantly faster manner than the default Taylor series. The real case is considered and the approximations can be im
Externí odkaz:
https://doaj.org/article/7e75c4282b4e4099bfbc3527ab6e943f
Autor:
Roy M. Howard
Publikováno v:
Mathematical and Computational Applications, Vol 24, Iss 2, p 35 (2019)
In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series appro
Externí odkaz:
https://doaj.org/article/25ae70ef36e1486d9599f5c21e446bab
Autor:
Roy M. Howard
Publikováno v:
Rheologica Acta. 59:521-544
This paper details an analytical framework, based on an intermediate function, which facilitates analytical approximations for the inverse Langevin function—a function without an explicit analytical form. The approximations have relative error boun
Autor:
Roy M. Howard
Publikováno v:
International Journal of Applied and Computational Mathematics. 7
Two point spline based approximations for $$\mathrm{tanh}(x)$$ , valid over the interval $$[0,\infty ]$$ , which can be made arbitrarily accurate, have uniform convergence, and which have better convergence than existing series, are detailed. Explici
Autor:
Roy M. Howard
Publikováno v:
Mathematical and Computational Applications; Volume 27; Issue 1; Pages: 14
A spline-based integral approximation is utilized to define a sequence of approximations to the error function that converge at a significantly faster manner than the default Taylor series. The real case is considered and the approximations can be im
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45749ac0e31bc1c7465f2e7cd9f05c5b
Autor:
Roy M. Howard
Publikováno v:
Rheologica Acta. 60:481-481
A Correction to this paper has been published: 10.1007/s00397-021-01283-3