Numerical solution of the Schrödinger equations with polynomial potentials (Part II)
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 ...
The new procedure of receiving the multisoliton solutions of the KdV equation
The article offers a new method of obtaining multisoliton solutions of KdV equations by means of introducing the characteristic polynomial.
The authors form a representation for multisoliton solutions through the second logarithmic derivative of a determinant of a positive-definite matrix.
1.
Захаров ...
Numerical solution of the Schrödinger equations with polynomial potentials (Part I)
The fundamental solution of a Cauchy problem and the spectral task for a one-dimensional Schrodinger equations with potential in the form of polynomials m P (x) (m 6) is solved. Numerical calculations are applied to modelling adiabatic potentials with two minima ...
Mathematical modeling of the process of attracting customers for paid SAAS solutions
The paper considers various aspects of attracting customers to use SaaS solutions from company X. As a test solution, an advertising company aimed at the Latin American region was considered. Based on the obtained data, a mathematical model was built that showed the most "weak" points in the advertising company and allowed us to evaluate its effectiveness....
The strategic potential of an organisation and the models of programming solutions in the conditions of uncertainty
This article considers the problems of studying the strategic potential of organisations in the modern conditions. The authors analyse the methods of allowing for the uncertainty factor within the programming solution development procedures.
1. Друкер П. Ф. Задачи менеджмента в XXI веке / пер. с англ. М., 2004.
2. Нельсон Р., Уинтер С. Эволюционная теория экономических ...
Cyclic version of “ – ” iterative method. Estimations of speed of algorithm convergence
Differences methods of the approximate solution of the two-dimensional equation of ions diffusion with the mixed derivatives and the first derivatives of a divergent look are considered. Test calculations on a modeling task with the known analytical decision are carried out. Operability of ...