Engineering Mathematics


Volume 7, Issue 1, June 2023

  • Relative Controllability for a Class of Linear Impulsive Systems

    Gwang Jin Kim, Su Song Om, Tae Gun Oh, Nam Chol Yu, Jin Sim Kim

    Issue: Volume 7, Issue 1, June 2023
    Pages: 1-18
    Received: 3 November 2022
    Accepted: 15 December 2022
    Published: 27 February 2023
    Abstract: Hybrid systems are systems that involve continuous and discrete event dynamical behaviors. A impulsive system is a special hybrid system. The continuous dynamics of impulsive systems are usually described by ordinary differential equations and the discrete event dynamics with instantaneously rapid jumps are described by switching laws. Various comp... Show More
  • Research Article

    Diagonally Implicit Symplectic Runge-Kutta Methods with 7th Algebraic Order

    Thae Gun Oh, Ji Hyang Choe, Jin Sim Kim*

    Issue: Volume 7, Issue 1, June 2023
    Pages: 19-28
    Received: 16 May 2024
    Accepted: 18 June 2024
    Published: 3 July 2024
    Abstract: The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. Since Hamiltonian systems have good properties such as symplecticity, numerical methods that preserve these properties have attracted the great attention. In fact, the explicit Runge-Kutta methods have used due to that schemes are very simple an... Show More