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The paper concentrates on the positive sides of front-end frameworks. It creates a small webpage that will show some of the basic capabilities of a JavaScript front-end framework called Vue JS and the easiness of its implementation. It shows why is there a need for frameworks in development and how can companies use them for their benefit. Since they can be used and speed up development processes they can be learned in schools for an easier grasp of development concepts.

The aim of the paper is to study problem of financial derivatives pricing based on the idea of the Heston model introduced in [9]. Following the approach stated in [6] and in [7] we construct the regularised version of the Heston model and the discrete duality finite volume (DDFV) scheme for this model. The numerical analysis is performed for this scheme and stability estimates on the discrete solution and the discrete gradient are obtained. In addition the convergence of the DDFV scheme to the weak solution of the regularised Heston model is proven. The numerical experiments are provided in the end of the paper to test the regularisation parameter impact.

<p>Bourlès et al. (1989:<em> Geochim. Cosmochim. Acta</em>) suggested that authigenic <sup>10</sup>Be/<sup>9</sup>Be ratio could provide a geochronological tool to date deposition of clay-bearing sediment settled in a water column up to 14 Ma old. It is based on ratio of atmospheric cosmogenic radionuclide <sup>10</sup>Be delivered to depositional environments by precipitation and stable <sup>9</sup>Be extracted from rock massifs by chemical weathering. Determination of the initial <sup>10</sup>Be/<sup>9</sup>Be ratio is essential for efficient application of the dating and may vary spatially as well as in time due to changes in drainage basins, depositional environments, climate, and other factors. The potential of the authigenic <sup>10</sup>Be/<sup>9</sup>Be dating was evaluated during last years in the Pannonian Basin realm, located in Central Europe. This contribution summarizes successful applications as well as discovered problems and challenges, which motivate the ongoing research.</p><p>Two initial <sup>10</sup>Be/<sup>9</sup>Be ratios were established from Holocene alluvial and lacustrine clays in the Danube Basin (Šujan et al., 2016: <em>Glob. Planet. Change</em>). The dating was applied to shallow to deep-water sediments deposited in Lake Pannon within the Danube Basin, and helped to constrain paleogeographic changes in the age range of 11.6–3 Ma. Application of the method to the post-rift alluvial succession with high subsidence rates of 50–400 m/Ma in the range of ~9.5–6.0 Ma yielded data consistent with other geochronological proxies (Šujan et al., 2020: <em>Sed. Geol.</em>; Joniak et al., 2020: <em>Palaeo<sup>3</sup></em>). The fast accumulation and tectonic quiescence likely provided stable environmental conditions favorable for the dating method applicability.</p><p>Lacustrine and deltaic deposits of Lake Pannon were analyzed from cores of Paks boreholes in the central part of the Pannonian Basin. The resulting authigenic <sup>10</sup>Be/<sup>9</sup>Be ages are generally in agreement with magnetostratigraphic age constraints correlated using seismic stratigraphy (Magyar et al., 2019: <em>Földt. Közl.</em>). Outliers with relative enrichment of <sup>10</sup>Be appear in most distal facies, where low terrestrial <sup>9</sup>Be input is expected.</p><p>A study of turbidite deposits from the Transylvanian Basin allowed to compare the established lacustrine initial <sup>10</sup>Be/<sup>9</sup>Be with a ratio independently calculated from Ar/Ar dated horizon (Botka et al., 2019: <em>Austrian J. Earth. Sci.</em>). Majority of samples provided a good fit with other age proxies, while one sedimentary interval exhibits twofold increase of <sup>10</sup>Be/<sup>9</sup>Be probably indicating variability in the environmental conditions (Baranyi et al., 2021: <em>Rev. Palaeobot. Palyn.</em>).</p><p>An order of magnitude higher authigenic <sup>10</sup>Be/<sup>9</sup>Be comparing to the established initial ratios were obtained from supposed early Pleistocene sediments from the locality Sollenau in the Vienna Basin. The visual appearance implies, that secondary pedogenic processes might be responsible for a post-depositional input of <sup>10</sup>Be (Willenbring, von Blanckenburg, 2010: <em>Earth. Sci. Rev.</em>). Another case of high <sup>10</sup>Be/<sup>9</sup>Be preventing age calculation was observed in a Pleistocene alluvial environment with intense loess input.</p><p>An ongoing research aims to determine the effects of changes in depositional process, sediment source proximity and provenance on the applicability of the dating method. This research was financially supported by the Slovak Research and Development Agency under contract APVV-16-0121 and by the Hungarian National Research, Development and Innovation Office under contract NKFIH-116618.</p>

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