An iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial data

Abstract

Abstract:The paper discusses the coefficient inverse problem for one-dimensional heat equation with inaccurate initial data. A conjugate difference problem is developed on difference level. The problem is solved by method of interval analysis. Condition of applicability of Thomas method and its computational convergence are obtained. Estimates of the interval width of solutions of difference problems and functions of Thomas method are also gained.

Numerical simulation of the acoustic wave equation by the method of reverse time migration

“…We consider the numerical implementation of finitedifference computations for simplicity in the twodimensional case [6][7][8][9][10][11].and which illustrates the exact solution, forward modeling and migration [12][13][14][15][16][17]. Let the model be given on a regular rectangular grid with nodes   , i j .…”

A polynomial algorithm for packing unit squares in a hypograph of a piecewise linear function

“…This problem arises in wood industry (cutting a log into quadratic plates), in glass industry (cutting defecting pane glass into small equal squares) etc. Applications of analogous problems can be seen in [4,5]. In this article we consider the problem of packing of unit squares in a hypograph of a function.…”

Construction of a Model and Development of an Algorithm for Solving the Wave Problem under Pulsed Loading

“…The increasing volume of industrial, mining, hydraulic engineering and aviation engineering makes it necessary to improve the methods of studying wave problems. The known methods of solving problems [5][6][7][8][9][10][11][12][13] can not always fully reveal the features of contact problems of dynamics.…”