The paper deals with construction of an efficient explicit sixth order method for structurally partitioned systems of ordinary differential equations. The general scheme of the method is presented, which algorithmically uses structural properties of a system of differential equations. The order conditions and the simplifying conditions for the considered explicit six-stage method are written down and their consistency is determined. The general solution with seven free parameters is obtained and a computational scheme for certain values of free parameters is constructed. Its performance on test problems is compared to three other explicit sixth-order methods.

Translated title of the contributionA family of sixth-order methods with six stages
Original languageRussian
Pages (from-to)215-229
Number of pages15
Journal ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
Volume14
Issue number3
DOIs
StatePublished - 2018

    Research areas

  • Order, Order conditions, Simplifying conditions

    Scopus subject areas

  • Computer Science(all)
  • Control and Optimization
  • Applied Mathematics

ID: 35622956