3 papers
math.NA2024
Exponentially convergent method for time-fractional evolution equation
V. Vasylyk, V. L. Makarov
An exponentially convergent numerical method for solving a differential equation with a right-hand fractional Riemann-Liouville time-derivative and an unbounded operator coefficien…
math.NA2024
Numerical method for abstract Cauchy problem with nonlinear nonlocal condition
Volodymyr Makarov, Dmytro Sytnyk, Vitalii Vasylyk
Problem for the first order differential equation with an unbounded operator coefficient in Banach space and nonlinear nonlocal condition is considered. A numerical method is propo…
math.DS2012
Stability preserving structural transformations of systems of linear second-order ordinary differential equations
Volodymyr Makarov, Denis Dragunov
In the paper we have developed a theory of stability preserving structural transformations of systems of second-order ordinary differential equations (ODEs), i.e., the transformati…