A simple and accurate approximation of the inverse Langevin function
Gespeichert in:
Verfasser / Beitragende:
[Ehsan Darabi, Mikhail Itskov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Rheologica Acta, 54/5(2015-05-01), 455-459
Format:
Artikel (online)
Online Zugang:
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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 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 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 | ||