A comprehensive study of the mathematical methods used to approximate the inverse Langevin function
From MaRDI portal
Publication:5125092
DOI10.1177/1081286518811395OpenAlexW2901631458WikidataQ62022768 ScholiaQ62022768MaRDI QIDQ5125092
Publication date: 2 October 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286518811395
Padé approximationstatistical mechanicsinverse Langevin functionminimax approximationMathematica computer softwarenon-Gaussian chain statistics
Related Items (3)
A bond-based peridynamics modeling of polymeric material fracture under finite deformation ⋮ Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function ⋮ Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the accuracy of numerical integration over the unit sphere applied to full network models
- The best uniform quadratic approximation of circular arcs with high accuracy
- On a molecular statistical basis for Ogden's model of rubber elasticity
- Padé approximants in complex points revisited
- A simple algorithm for the fast calculation of higher order derivatives of the inverse function
- Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
- Computation of the \(c\)-table related to the Padé approximation
- Approximation of smooth functions by weighted means of \(N\)-point Padé approximants
- Approximation of the integrals of the Gaussian distribution of asperity heights in the Greenwood-Tripp contact model of two rough surfaces revisited
- A Centre Manifold Description of Contaminant Dispersion in Channels with Varying Flow Properties
- Rational Minimax Approximation via Adaptive Barycentric Representations
- A Full-Network Rubber Elasticity Model based on Analytical Integration
- On the complex singularities of the inverse Langevin function
- Taylor expansion of the inverse function with application to the Langevin function
- Generalized error-minimizing, rational inverse Langevin approximations
- Some physical applications of generalized Lambert functions
- A Comparison of Algorithms for Rational l ∞ Approximation
This page was built for publication: A comprehensive study of the mathematical methods used to approximate the inverse Langevin function
