- In this paper several new approaches for error estimation of an approximate solution of linear ill-posed problems are offered in the presence of the additional a priori information about the exact solution. This information is used when the exact solution belongs to a compact set or is sourcewise represented. All considered problems are reduced to convex programming problems in finite dimensional Euclidean spaces. The method to cut convex polyhedrons is applied to solve these problems and to construct areas, which the exact solutions belong to. Several model inverse problems for the heat conduction equation are considered.

No abstract

This paper considers the issue of mining non-metallic (rock) products in the context of transition economies. Our studies have shown that interest in non-metallic products is growing every year, as evidenced by the growing volumes of production both around the world and in the group of countries considered in the article. The market analysis for non-metallic minerals has revealed the market development dynamics; however, its high monopolization may lead to some restrictions on free competition in subsoil use. In order to assess such monopolization, we have calculated the Herfindahl-Hirschman index for each non-metallic mineral mined in countries with economies in transition. We have found that the entire product range under consideration is part of a highly concentrated market dominated by the Russian Federation. We have presented some options for designing and introducing various kinds of arrangements to develop the mining potential of non-metallic minerals in order to reduce the dominant component of individual countries or companies and to balance the market. It is proposed to consider a partial transition from the possibility of developing deposits to an underground one — as an alternative option that harms the environmental load on the situation in the mining area. The results of this study will be used to conduct a detailed analysis in each country under review, which will provide the most complete picture of the mining industry in countries with economies in transition.

The paper discusses the environmental impact of industrial minerals mining. Research shows that interest in mining of industrial minerals increases year by year, and their demand and consumption will steadily grow. The market conditions are favorable for developing new fields. Both opencast and underground mined minerals are most popular these days. The industrial minerals market analysis indicates its dynamics, but the high monopoly degree of mining of certain minerals causes some restrictions on free competition in subsoil use. At the same time, environmental issues raised at the level of world power governments are not reflected in legislative documents. We raise the possibility of partial transition from opencast mining to underground one-as an alternative that carries environmental improvement of a mining area.<br /><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script><script id="stacks-wallet-provider" type="text/javascript" src="chrome-extension://ldinpeekobnhjjdofggfgjlcehhmanlj/inpage.js"></script>

No abstract