2015
DOI: 10.1007/s10910-015-0531-5
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Solving the adsorption integral equation with Langmuir-kernel and the influence of temperature on the stability of the solution

Abstract: Adsorption energy distribution functions can be calculated from measured adsorption isotherms by solving the adsorption integral equation. In this context, it is common practice to use general regularization methods, which are independent of the kernel of the adsorption integral equation, but do not permit error estimation. In order to overcome this disadvantage, we present in this paper a solution theory which is tailor-made for the Langmuir kernel of the adsorption integral equation. The presented theory by … Show more

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Cited by 5 publications
(15 citation statements)
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“…Therefore, R itself grows exponentially starting at a certain frequency x (cf. Figure 5), and it becomes necessary to cut off the spectral density at a suitable frequency x max right before the influence of the error amplification prevails (Arnrich et al, 2015). As it can be seen in Figure 5, the spectral density of the AED F synth presented in Figure 1 decays rapidly and remains at a low level until x ¼ 15 mol kJ .…”
Section: Spectral Densitymentioning
confidence: 95%
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“…Therefore, R itself grows exponentially starting at a certain frequency x (cf. Figure 5), and it becomes necessary to cut off the spectral density at a suitable frequency x max right before the influence of the error amplification prevails (Arnrich et al, 2015). As it can be seen in Figure 5, the spectral density of the AED F synth presented in Figure 1 decays rapidly and remains at a low level until x ¼ 15 mol kJ .…”
Section: Spectral Densitymentioning
confidence: 95%
“…Hadamard postulated three properties of physical problems described by equation (2) (Arnrich et al, 2015;Hadamard, 1923;Kress, 1989):…”
Section: Ill-posed Problemsmentioning
confidence: 99%
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