For more than a decade data mining, including machine learning has been an active topic of research and teaching at the Mathematical Institute at the Eötvös Loránd University with the objective of keeping up a good balance of mathematical and engineering approach. In recent years it was a good base […]
Read moreResearch on mathematical modelling of infectious diseases has been carried out at the Bolyai Institute of the University of Szeged for already 12 years. Earlier topics studied by the research group include strategies for influenza vaccination, the impact of mandatory varicella vaccination, the risk of measles outbreaks during the 2012 […]
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Current farming practices require a uniform application of pesticides in order to protect crop plants from pest and disease. These treatments are typically repeated at regular time intervals. However, it is well known that several pests and diseases exhibit an uneven spatial distribution, with typical patch structures evolving around localized […]
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The outbreak of the Covid-19 epidemics in early 2020 has caused an unprecedented effort of the scientific community to produce models that could monitor and predict the evolution of the epidemics in a reliable way, also to advice governments to take actions which could mitigate the burden of hospitals to […]
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When the Covid19-Pandemic started in early 2020, Germany reacted with strict, acute nationwide measures that aimed at minimizing infection risk within the population. These included closing possible meeting locations such as schools, non-essential shops, playgrounds, restaurants and the like. Now that the numbers have declined, the government was and is faced with the dilemma of balancing citizens’ freedom rights against the risk of a new wave of infection. With smaller, but heterogeneously distributed outbreaks, local health authorities and politicians are now responsible for deciding on the degree of relaxation of protective measures in their administrative districts. There are currently numerous publications and pre-publications (cf. Flaxman, 2020) in which scientists analyze the current infection situation and attempt to predict the further course of the pandemic. Nevertheless, it cannot be expected that a district administrator or the head of the local health department will have the time and training to apply the study results, which were prepared for specific countries, regions or cities, to the situation in his or her district.
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The complexity and difficulties of a flow simulation is highly dimensional. In many cases, we have only little or diffuse knowledge about boundary conditions or material properties. Moreover, the geometry might be extensive and very detailed, it may deform/move/change during the flow process. The flow might contain free surfaces or […]
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The cornea is the transparent part of the eye’s outer sheath and the primary refractive element in the optical system of the eye. Indeed, its curved interface with the air provides three-fourths of the eye’s focusing power (the remainder being provided by the lens). Maintenance of its curvature and clarity […]
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Joseph O’Brien The way in which the terrible virus that is Covid-19 has rampaged through the entire world over the course of 2020 has altered the behaviour of humanity in a way no one could have foreseen. With the aim of understanding the properties of this disease alongside the way […]
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iHEART, that is “an integrated heart model for the simulation of the cardiac function”, is an attempt to create a complete mathematical model of the human heart, which includes the electrical, mechanical and fluid-dynamic processes from the cell scale to the organ scale. The project has been funded with an […]
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The boundary element method (BEM) or method of moments (MoM) is a common approach for the solution of partial differential equations (PDEs) in engineering applications such as acoustic and electromagnetic scattering problems in homogeneous media. It is accepted in industry and there are many free and proprietary implementations. Bembel’s logo […]
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