2011 Issue №10

The algorithm of the numerical realization of a fundamental solution of a Cauchy problem for the one-dimensional Schrodinger equation with polynomial potentials is described. The stationary Schrodinger equation for a proton in the double potential well is solved by using Ritz variation method. The Green’s function is formed on a discrete spectrum of these solutions and after that the fundamental solution of the non-stationary Schrodinger equation is numerically calculated and applied to compounds with intramolecular hydrogen bonds.

An algorithm for building a base multitude of solutions for the university timetabling problem is proposed. An algorithm allowed to get at least one correct timetable if such exists. Computational complexity is reduced with using a special set of heuristics and timetable data presentation model.

For solving systems of linear equations with block tridiagonal matrices there is presenting a variant of multi-grid method with semi-coarse. There are giving the results of numerical experiments, that show high efficiency of presented method.

The article has the algorithm of finding units of cubic irrationalities fields based on iterative process.