A simple and accurate approximation of the inverse Langevin function

Verfasser / Beitragende:
[Ehsan Darabi, Mikhail Itskov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Rheologica Acta, 54/5(2015-05-01), 455-459
Format:
Artikel (online)
ID: 605466750
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024 7 0 |a 10.1007/s00397-015-0851-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00397-015-0851-1 
245 0 2 |a A simple and accurate approximation of the inverse Langevin function  |h [Elektronische Daten]  |c [Ehsan Darabi, Mikhail Itskov] 
520 3 |a The inverse Langevin function cannot be represented in an explicit form and requires an approximation by a series, a non-rational or a rational function as for example by a Padé approximation. In the current paper, an analytical method based on the Padé technique and the multiple point interpolation is presented for the inverse Langevin function. Thus, a new simple and accurate approximation of the inverse Langevin function is obtained. It might be advantageous, for example, for non-Gaussian statistical theory of rubber elasticity where the inverse Langevin function plays an important role. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Padé approximations  |2 nationallicence 
690 7 |a Inverse Langevin function  |2 nationallicence 
690 7 |a Rubber elasticity  |2 nationallicence 
690 7 |a Non-Gaussian chain statistics  |2 nationallicence 
700 1 |a Darabi  |D Ehsan  |u Department of Continuum Mechanics, RWTH Aachen University, Aachen, Germany  |4 aut 
700 1 |a Itskov  |D Mikhail  |u Department of Continuum Mechanics, RWTH Aachen University, Aachen, Germany  |4 aut 
773 0 |t Rheologica Acta  |d Springer Berlin Heidelberg  |g 54/5(2015-05-01), 455-459  |x 0035-4511  |q 54:5<455  |1 2015  |2 54  |o 397 
856 4 0 |u https://doi.org/10.1007/s00397-015-0851-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00397-015-0851-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Darabi  |D Ehsan  |u Department of Continuum Mechanics, RWTH Aachen University, Aachen, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Itskov  |D Mikhail  |u Department of Continuum Mechanics, RWTH Aachen University, Aachen, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Rheologica Acta  |d Springer Berlin Heidelberg  |g 54/5(2015-05-01), 455-459  |x 0035-4511  |q 54:5<455  |1 2015  |2 54  |o 397