Implementation of the Adams method for solving ordinary differential equations in the Sage computer algebra system by Mikhail D. Malykh, Polina S. Chusovitina

“…This work is devoted to the implementation and testing of the Adams method for solving ordinary differential equations in the Sage computer algebra system. The Sage computer algebra system has, to some extent, trivial means for numerical integration of ordinary differential equations, but at the same time, it is worth noting that this environment is convenient and practical for conducting computer experiments related to symbolic numerical calculations in it. …”
Get full text

Kinematic support modeling in Sage by Oleg K. Kroytor, Mikhail D. Malykh, Sergei P. Karnilovich

Subjects: Get full text

On a dispersion curve of a waveguide filled with inhomogeneous substance by Oleg K. Kroytor, Mikhail D. Malykh

“…The aim of our work was to find out what computer algebra systems can give when calculating the points of the waveguide dispersion curve. …”
Get full text

On a set of tests for numerical methods of integrating differential equations, based on the Calogero system by Mikhail D. Malykh, Wang Shiwei, Yu Ying

“…Based on the completely integrable Calogero dynamical system, which describes the one-dimensional many-body problem, a tool for testing difference schemes has been developed and implemented in the original fdm package integrated into the Sage computer algebra system. This work shows how the developed tools can be used to examine the behavior of numerical solutions near the collision point and how to study the conservatism of the difference scheme. …”
Get full text