# Leweke et al. (2016): Fast arbitrary order moments and arbitrary precision solution of the general rate model of column liquid chromatography with linear isotherm

**URL:** <https://forum.cadet-web.de/t/leweke-et-al-2016-fast-arbitrary-order-moments-and-arbitrary-precision-solution-of-the-general-rate-model-of-column-liquid-chromatography-with-linear-isotherm/46>\
**Category:** CADET Literature Base\
**Tags:** technology\
**Created:** [June 9, 2020, 9:21pm UTC](https://forum.cadet-web.de/t/leweke-et-al-2016-fast-arbitrary-order-moments-and-arbitrary-precision-solution-of-the-general-rate-model-of-column-liquid-chromatography-with-linear-isotherm/46 "2020-06-09T21:21:44Z")\
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**Author:** ![s.leweke](https://forum.cadet-web.de/user_avatar/forum.cadet-web.de/s.leweke/32/1323_2.png) [@s.leweke](https://forum.cadet-web.de/u/s.leweke)\
**Post date:** [June 9, 2020, 9:21pm UTC](https://forum.cadet-web.de/t/leweke-et-al-2016-fast-arbitrary-order-moments-and-arbitrary-precision-solution-of-the-general-rate-model-of-column-liquid-chromatography-with-linear-isotherm/46/1 "2020-06-09T21:21:45Z")

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Leweke, S.; von Lieres, E.: [Fast arbitrary order moments and arbitrary precision solution of the general rate model of column liquid chromatography with linear isotherm](https://doi.org/10.1016/j.compchemeng.2015.09.009), Computers & Chemical Engineering **84** (2016): 350–362.

Analytical solution of single-component general rate model in Laplace domain. Numerical inversion with proven error bound at column outlet. Numerical calculation of moments of arbitrary order using extrapolation and automatic differentiation.

Useful for checking a chromatography simulator against a reference solution. Description of technology behind [cadet-semi-analytic](https://github.com/modsim/CADET-semi-analytic).