Sunday, 25 May 2025
  • Desktop
 
 
 

Dmytro Sytnyk

My Home Page

  • CV
  • Research
  • Projects
  • Blog
 

Recent activity

  • On this page :
  • Curriculum Vitae •
  • Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics •
  • The Luttinger-Kohn theory for multiband Hamiltonians: A revision of ellipticity requirements •
  • Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements •
  • Sinc approximation of algebraically decaying functions •
  • Publications •
  • Numerical methods for evolutionary problems •
  • Blog •
  • Research •
  • Projects •
  • Mathematical modeling of quantum dots with generalized envelope functions approximations and coupled partial differential equations •
  • Exponentially convergent methods for the nonlocal abstract Cauchy problem and nonlinear boundary value problems •
  • Existence of the solution to a nonlocal-in-time evolutional problem •
  • A method with a controllable exponential convergence rate for nonlinear differential operator equations •
  • Exponentially Convergent Method for the m-Point Nonlocal Problem for a First Order Differential Equation in Banach Space •
  • Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type •
  • Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation •
  • An Exponentially Convergent Method for Nonlinear Operator Equations: Two-Sided Approximations and Global Convergence •
  • Exponentially convergent method for abstract Cauchy problem with nonlinear nonlocal condition •
  • Two-sided approximations for nonlinear operator equations •
  • Exponentially convergent numerical method for the first order differential equation in Banach space and two-point nonlocal condition with unbounded operator •
  • Effective utilization of previously calculated data in the scheme of iteratively refining Sinc approximations •
  • Codes •
  • PaMPERO •
  • The HomePage •
  • ⋅
 
10
Dec

Curriculum Vitae

Tue, 10 Dec 2024 in Home Page
09
Dec

Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics

Mon, 9 Dec 2024 in Publications
09
Dec

The Luttinger-Kohn theory for multiband Hamiltonians: A revision of ellipticity requirements

Mon, 9 Dec 2024 in Publications
09
Dec

Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements

Mon, 9 Dec 2024 in Publications
06
Dec

Sinc approximation of algebraically decaying functions

Fri, 6 Dec 2024 in Publications
06
Dec

Publications

Fri, 6 Dec 2024 in Research
06
Dec

Numerical methods for evolutionary problems

Fri, 6 Dec 2024 in Research
06
Dec

Blog

Fri, 6 Dec 2024 in Home Page
06
Dec

Research

Fri, 6 Dec 2024 in Home Page
06
Dec

Projects

Fri, 6 Dec 2024 in Home Page
06
Dec

Mathematical modeling of quantum dots with generalized envelope functions approximations and coupled partial differential equations

Fri, 6 Dec 2024 in Publications
06
Dec

Exponentially convergent methods for the nonlocal abstract Cauchy problem and nonlinear boundary value problems

Fri, 6 Dec 2024 in Publications
06
Dec

Existence of the solution to a nonlocal-in-time evolutional problem

Fri, 6 Dec 2024 in Publications
06
Dec

A method with a controllable exponential convergence rate for nonlinear differential operator equations

Fri, 6 Dec 2024 in Publications
06
Dec

Exponentially Convergent Method for the m-Point Nonlocal Problem for a First Order Differential Equation in Banach Space

Fri, 6 Dec 2024 in Publications
06
Dec

Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type

Fri, 6 Dec 2024 in Publications
06
Dec

Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation

Fri, 6 Dec 2024 in Publications
06
Dec

An Exponentially Convergent Method for Nonlinear Operator Equations: Two-Sided Approximations and Global Convergence

Fri, 6 Dec 2024 in Publications
06
Dec

Exponentially convergent method for abstract Cauchy problem with nonlinear nonlocal condition

Fri, 6 Dec 2024 in Publications
06
Dec

Two-sided approximations for nonlinear operator equations

Fri, 6 Dec 2024 in Publications
06
Dec

Exponentially convergent numerical method for the first order differential equation in Banach space and two-point nonlocal condition with unbounded operator

Fri, 6 Dec 2024 in Publications
06
Dec

Effective utilization of previously calculated data in the scheme of iteratively refining Sinc approximations

Fri, 6 Dec 2024 in Publications
10
May

Codes

Tue, 10 May 2016 in Projects
21
Jan

PaMPERO

Tue, 21 Jan 2014 in Projects
16
Jan

The HomePage

Thu, 16 Jan 2014 in Projects
 
Navigation
  • Home Page
    • CV
    • Research
    • Projects
    • Blog
Quick Links
  • Publications
  • Codes
  • Wolf CMS
Recent Blog Posts
  • Browse all ...
Tags
  • algebraically-decaying function
  • approximation
  • caputo fractional derivative
  • cauchy problem
  • collocation
  • contour representation
  • ellipticity
  • exponential convergence
  • fd-method
  • fractional propagator
  • inverse problem
  • kp theory
  • mild solution
  • nonlinear operator equation
  • nonlocal condition
  • numerical method
  • operator exponential
  • physics
  • schrodinger equation
  • sinc-methods
  • solution existence
 
Contact

Phone: +380 44 2345563
Email: sytnik@imath.kiev.ua

More »
Recent Activity
  • Curriculum Vitae
  • Mathematical Models with Non...
  • The Luttinger-Kohn theory fo...
  • Browse all ...
Projects
  • PaMPERO
  • The HomePage
  • More »
Follow Me
RSS
   
LinkedIn
ArXiv
GitHub
 
© 2025 Dmytro Sytnyk → Home | Curriculum Vitae | Research | Projects | Blog
Wolf CMS Inside | Website template by Arcsin