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This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydrooptics. The importance of these problems has grown because of the increas­ ing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmos­ phere, absorption in atmospheric layers, multiple scattering ...

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The present volume is an adaptation of a series of lectures on numerical mathematics which the author has been giving to students of mathematics at the Novosibirsk State University during the span of several years. In dealing with problems of applied and numerical mathematics the author sought to focus his attention on those complicated problems of mathe­ matical physics which, in the course of their solution, can be reduced to simpler and the...

The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time by of ma...

Identification ¿ Inverse problems for partial differential equations: A stochastic formulation.- Key problems in the theory of centralized interaction of economic systems.- Some statements and ways of solving dynamic optimization problems under uncertainty.- A new algorithm for Gauss Markov identification.- On optimality criteria in identification problems.- Nonstationary processes for mathematical programming problems under the conditions of ...