ABOUT THE SOFTWARE PACKAGE FOR FULFILMENT OF OPERATIONS ABOVE MULTIPLE FOURRIER SERIES

Institute for High-Performance Computer Systems RAS, Moscow

It is known, that the mathematical models for problems of the celestial mechanics are described by nonlinear differential equations. If are used a phase variable type " action - corner ", the right parts of differential equations of movement are described with the help of Fourrier series on angular variable. Therefore there is a problem about fulfilment of various mathematical operations above multiple power series and multiple Fourrier series

For their realization the author, using a system symbolical (analytical) calculations "Mathematica", have developed the software package. The given software package provides:

• creation of a multiple power series;
• addition, subtraction, multiplication of the power series;
• creation of a multiple Fourrier series for the given function f(x,y);
• addition, subtraction, multiplication of Fourrier series;
• division of Fourrier series;