3 papers
math.NA2025
Subordination based approximation of Caputo fractional propagator and related numerical methods
Dmytro Sytnyk
In this work, we propose an exponentially convergent numerical method for the Caputo fractional propagator and the associated mild solution of the Cauchy problem with time…
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…
cond-mat.mtrl-sci2010
Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements
Dmytro Sytnyk, Sunil Patil, Roderick Melnik
Modern applications require a robust and theoretically strong tool for the realistic modeling of electronic states in low dimensional nanostructures. The theory has fru…