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
 Profile photo


Mathematics:
numerical methods for differential equations in Hilbert and Banach spaces; hybrid spectral numerical methods for BVP’s and nonlocal problems; non-parametric forecasting of dynamical systems; control theory; inverse problems; approximation theory; sinc–methods; matrix analysis
Machine learning:
kernel methods; diffusion models; nonlinear dimensionality reduction techniques; data-smoothing; time-series forecasting (KAF, Koopman operator approaches); graph learning
Computer Science:
software for numerical solution of PDEs; sparse and shifted linear solvers; code optimization; parallel and GPU/TPU programming; cloud computing

  • 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)

  • 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

  • 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”,

  • 2023 - 2024: DFG project #465242983 within “SPP 2311: Robust coupling of continuum-biomechanical in silico models to establish active biological system models for later use in clinical applications – Co-design of modeling, numerics and usability”, Technical University of Munich, Germany

  • 2022: Visiting fellowship founded by TUM IAS Grant for Ukrainian researchers, Technical University of Munich, Germany

  • 2019: IARPA Project ”Theory of deep networks for modeling hierarchical data processing”, Claremont University, USA

  • 2018 – 2019: Horizon 2020 Project “Approximation Methods for Molecular Modelling and Diagnosis Tools”, RICAM, Austria; Politecnico di Milano, Italy

  • 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

Languages

  • Proficient in: C, C++, Matlab, Python, Delphi/Pascal
  • Familiar with: Fortran, Bash, CWL, Go, q, Assembler (x86, ARM, AVR), Prolog, Java, PHP, TeX

Software and methodologies

  • Mathematical: NumPy, Matlab/Octave, Maple/Maxima, Mathematica, R, Julia
  • Machine learning: Flax, Pytorch, TensorFlow, TorchScript, MLPACK, FAISS, Equinox, Orbax, Optax
  • Numerical packages: JAX, GSL, GMP, MPFR, MPC, BLAS+LAPACK, MPACK, Armadillo, Trilinos, PETSc, SLEPc, FEAST, Deal.II, MFEM, libMesh, FEniCS, JAX-FEM, libigl, GCAL, MUQ, SUNDIALS, Diffrax, XBraid, HPX,
  • Parallel interfaces: MPI, OpenMP, OpenACC, Kokkos

Misc

  • Modeling: COMSOL, FEAST, Ansys, Creo Parametric, ABINIT, Quantum ESPRESSO, LAMMPS
  • Database: Microsoft Access, MySQL, SQLite, MariaDB, kdb+
  • Platforms: Microsoft Windows, Linux, Gentoo, Docker, OpenStack, VMware ESXI, Xen
  • Other: Jupyter Notebooks, Latex, GIMP, Inkscape, Jira, Office software, Linux programming and administration, HPC Queue management systems, Web technologies

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

  • Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation, Fractal and Fractional 7, no. 10, 2023: 698, doi:10.3390/fractalfract7100698 (with B. Wohlmuth)

  • Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type, Mathematics 11, no. 10, 2023, doi:10.3390/math11102312 (with B. Wohlmuth)

  • Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics, Mathematical and Computational Applications, vol. 26, no. 4, Art. no. 4, 2021, doi:10.3390/mca26040073 (with R. Melnik)

  • Sinc approximation of algebraically decaying functions, Journal of Numerical and Applied mathematics, no. 3 (126), 2017 doi:10.48550/arXiv.1809.07369

  • Exponentially convergent method for abstract Cauchy problem with nonlinear nonlocal condition, Proceedings of A. Razmadze Mathematical Institute, vol. 21, no. 1, Art. no. 1, 2016 doi:10.48550/arXiv.2408.13944 (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, doi:10.15388/na.2014.3.8 (with V. L. Makarov and V. B. Vasylyk ).

  • 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, no. 1, Art. no. 1, 2010, doi:10.1080/01630560903499019 (with I. P. Gavrilyuk; V. L. Makarov; V. B. Vasylyk)

  • A method with a controllable exponential convergence rate for nonlinear differential operator equations, Comput. Methods Appl. Math., vol. 9, no. 1, Art. no. 1, 2009, doi:10.2478/cmam-2009-0004 (with I. Gavrilyuk, I. Lazurchak, V. Makarov)

  • Two-sided approximations for nonlinear operator equations, Comput. Methods Appl. Math., vol. 8, no. 4, Art. no. 4, 2008, doi:10.2478/cmam-2008-0028 ( with I. I.Lazurchak, V.L.Makarov)

Full publications list can be found here »

Last updated on 15:29, 10 December 2024