• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site
  • HSE University
  • Publications of HSE
  • Articles
  • Исследование численной устойчивости редуцированной схемы численного интегрирования системы линейных обыкновенных дифференциальных уравнений

Article

Исследование численной устойчивости редуцированной схемы численного интегрирования системы линейных обыкновенных дифференциальных уравнений

In work research of numerical stability of earlier reduced scheme of numerical integration of system of the linear ordinary differential equations developed by authors is conducted. The received condition of numerical stability of the reducing scheme proves possibility of use of this scheme in practice. Operability of the reduced scheme was tested on a real problem of the electrodynamics solved previously by known numerical methods. Offered by us both traditional and computing schemes yielded identical result of calculation. The important conclusion consisting in possibility of fast receiving a range of a matrix, the computing scheme received during transformation is drawn. The range of a matrix gives the chance to decide on the size of a step of integration that allows to increase quality of carrying out calculations for the computing scheme.