# Dmytro Sytnyk

###### Senior Researcher,

Numerical Mathematics dpt.,

Institute of Mathematics,

National Academy of Sciences of Ukraine

- Phone:
- +38 044 2345563
- Fax:
- +38 044 2352010
- E-mail:
- sytnik@imath.kiev.ua

## Research Interests

- Mathematics:
- numerical methods for differential equations in Hilbert and Banach spaces; hybrid spectral numerical methods for BVP’s and nonlocal problems; control theory; inverse problems; approximation theory; sinc–methods; matrix analysis;
- Physics:
- multi-scale effects in QD heterostructures; photovoltaics; quantum computations; quantum‑dynamical simulations with applications to photonics; Luttinger-Kohn theory; Band-structure calculations;
- Computer Science:
- software for numerical solution of PDE; sparse and shifted linear solvers; code optimization; parallel programming; clusters

## Education

**2012:**PhD in Computational Mathematics at Numerical Mathematics department of Institute of Mathematics, National Academy of Sciences of Ukraine

Advisor: Professor Volodymyr Makarov

Dissertation title:*“Exponentially convergent methods for the nonlocal abstract Cauchy problem and nonlinear boundary value problems”***2010:**MSc. in Mathematics at Wilfrid Laurier Universiry, Canada

Supervisor: Dr. Roderick Melnik

Thesis title:*“Mathematical Modeling of Quantum Dots with Generalized Envelope Functions Approximations and Coupled Partial Differential Equations”***2003:**Bsc. in Mathematics at Kiev National M.P. Dragomanov Pedagogical University, Ukraine Teacher of mathematics and computer science. (specialist degree)

## Honors and Awards

- Prize of the President of Ukraine for young researchers, 2017
- M. P. Korneichuk award, Institute of Mathematics, National Academy of Sciences of Ukraine, 2014
- Graduate Gold Medal for the Master’s Level, Wilfrid Laurier Universiry, 2010
- First diploma on National research school work contest of Ministry of Science of Ukraine, “Mala Akademiya nauk” 1998

## Employment

**2015 – present:**Senior researcher at Computational Mathematics department, Institute of Mathematics of Ukrainian National Academy of Sciences**2004 – 2015:**Researcher at Computational Mathematics department, Institute of Mathematics of Ukrainian National Academy of Sciences**2006 – 2007, 2013 - 2017:**Kyiv National O.O. Bogomolets medical University (part-time) course “Computer Science” (in english)**2003 – 2004:**High School Teacher of mathematics, computer science**2001 – 2003:**Engineer at Mathematics department Kiev National M.P. Dragomanov Pedagogical University (part-time)**2002 – 2003:**Kyiv college of electronics and technology “Elekroprylad” (part-time) course “Design of operating systems”; course “Software development cycle”,

## International Grant participation

**2018:**Visiting fellowship founded by 2017 RSC-Ukraine exchange programme, Wilfrid Laurier University, Canada**2014:**Visiting fellowship, Max-Planck-Institute for mathematics in the sciences, Leipzig**2011:**Coimbra Group grant for visiting scholars, Friedrich-Schiller-University, Jena, Germany**2007 – 2009**NSERC graduate student research grants, Wilfrid Laurier University, Canada**2006 – 2008**DFG project “Numerisch-analytische Modelle und Methoden zur Untersuchung der Dynamik von Sloshing in LNG-Tanks, Offshore und Moonpools” UKR 113/33/4

## Computer skills

### Languages

- Proficient in: C, C++, Delphi, Pascal
- Familiar with: Fortran, Python, Lua, Bash, Go, Assembler (x86, ARM, AVR), Python, Prolog, Java, PHP

### Software and methodologies

- Mathematical: Matlab/Octave, Maple, Mathematica, Maxima
- Numerical packages: GSL, GMP, MPFR, QD, BLAS, LAPACK, MPACK, Armadillo, PETSc, SLEPc, Deal.II, libMesh, FeniCS, Intel MKL, CUDA, OpenAL, Cilk+, HPX
- Parallel interfaces: OpenMP, MPI, Threads

### Misc

- Database: ADO, Microsoft Access, MySQL,SQLite
- Platforms: Unix, Linux, Gentoo, Microsoft Windows
- Other: Latex, Open office, GIMP, HTML,CSS

## Selected Publications

#### Monographs

- Functional-Discrete method for the solution of operator equations and its application (in ukrainian), Kyiv, Naukova Dumka, 2011, 175 P. (with V. B. Vasylyk, D. V. Dragunov)

#### Articles

The Luttinger-Kohn theory for multiband Hamiltonians: A revision of ellipticity requirements, (submitted to Physics Reviews B), 2018, arXiv:1808.06988 (with R. Melnik)

Linear nonlocal problem for the abstract time-dependent Schrödinger equation, (submitted to NFAO), 2018, arXiv:1609.08670 (with R. Melnik)

Sinc approximation of algebraically decaying functions, Journal of Numerical and Applied mathematics, no. 3 (126), 2017 arXiv:1809.07369

Parallel numerical method for nonlocal-in-time Schrödinger equation, Journal of Coupled Systems and Multiscale Dynamics, no. 2-4, pp. 204-211, 2017, arXiv:1809.01516

Numerical method for abstract Cauchy problem with nonlinear nonlocal condition, Proceedings of A. Razmadze Mathematical Institute, vol. 21, no. 1, pp. 18–32, 2016 (with V. L. Makarov and V. B. Vasylyk ).

Existence of the solution to a nonlocal-in-time evolutional problem, Nonlinear Analysis: Modelling and Control, vol. 19, no. 3, pp. 432–447, 2014 (with V. L. Makarov and V. B. Vasylyk ).

Modelling of quantum dots and low dimensional nanostructures as coupled systems, Journal of Coupled Systems and Multiscale Dynamics, vol. 2, no. 4, pp. 188–213, 2014 [Online], http://dx.doi.org/10.1166/jcsmd.2014.1055

Multiband Hamiltonians of the Luttinger-Kohn theory and ellipticity requirements, 2010, arXiv:1004.4152 ( with S. Patil; R. Melnik)

Exponentially Convergent Method for the m-Point Nonlocal Problem for a First Order Differential Equation in Banach Space, Numerical Functional Analysis and Optimization, Vol. 31 (1), 2010 (with I. P. Gavrilyuk; V. L. Makarov; V. B. Vasylyk)

A method with a controllable exponential convergence rate for nonlinear differential operator equations, CMAM, Vol.9 (1), 63—78 pp. (with I. Gavrilyuk, I. Lazurchak, V. Makarov)

Two-sided approximations for nonlinear operator equations, CMAM, Vol. 8 (4), 2008, 386—392 pp. ( with I. I.Lazurchak, V.L.Makarov)

Full publications list can be found here »