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  1. Solving a two-point second-order LODE problem by constructing a complete system of solutions using a modified Chebyshev collocation method

    Article • Discrete and Continuous Models and Applied Computational Science, December 2024, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy, Mikhail Malykh

  2. Numerical solution of first-order exact differential equations by the integrating factor method

    Article • Izvestiya of Saratov University Mathematics Mechanics Informatics, November 2024, Saratov State University

    Konstantin Petrovich Lovetskiy

  3. Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method

    Article • Discrete and Continuous Models and Applied Computational Science, October 2024, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  4. Application of the Chebyshev collocation method to solve boundary value problems of heat conduction

    Article • Discrete and Continuous Models and Applied Computational Science, June 2024, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  5. On cyclotron damping of longitudinal wave

    Article • Discrete and Continuous Models and Applied Computational Science, June 2024, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  6. Numerical Integration of Highly Oscillatory Functions with and without Stationary Points

    Article • Mathematics, January 2024, MDPI AG

    Konstantin Petrovich Lovetskiy

  7. Chebyshev collocation method for solving second order ODEs using integration matrices

    Article • Discrete and Continuous Models and Applied Computational Science, June 2023, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  8. A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method

    Article • Izvestiya of Saratov University Mathematics Mechanics Informatics, February 2023, Saratov State University

    Konstantin Petrovich Lovetskiy

  9. Adiabatic guided modes of a three-layer integral optical waveguide

    Article • Technical Physics, January 2023, Ioffe Institute Russian Academy of Sciences

    Konstantin Petrovich Lovetskiy

  10. Profile thickness synthesis of thin-film waveguide Luneburg lens

    Article • Discrete and Continuous Models and Applied Computational Science, December 2022, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  11. Numerical simulation of cold emission in coaxial diode with magnetic isolation

    Article • Discrete and Continuous Models and Applied Computational Science, October 2022, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  12. Multistage collocation pseudo-spectral method for the solution of the first order linear ODE

    Article • May 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Konstantin Petrovich Lovetskiy

  13. Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order

    Article • Discrete and Continuous Models and Applied Computational Science, May 2022, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  14. Finite-difference methods for solving 1D Poisson problem

    Article • Discrete and Continuous Models and Applied Computational Science, April 2022, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  15. A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides

    Article • May 2021, SPIE

    Konstantin Petrovich Lovetskiy

  16. Calculation of optical characteristics of thin films

    Article • Discrete and Continuous Models and Applied Computational Science, December 2020, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  17. An Effective Stable Numerical Method for Integrating Highly Oscillating Functions with a Linear Phase

    Article • January 2020, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  18. Modelling Leaky Waves in Planar Dielectric Waveguides

    Article • EPJ Web of Conferences, January 2020, EDP Sciences

    Konstantin Petrovich Lovetskiy

  19. Leaky waves in planar dielectric waveguide

    Article • Discrete and Continuous Models and Applied Computational Science, December 2019, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  20. Numerical modeling of stationary pseudospin waves on a graphene monoatomic films

    Article • Discrete and Continuous Models and Applied Computational Science, December 2019, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  21. Seismic stability of oscillating building on kinematic supports

    Article • Discrete and Continuous Models and Applied Computational Science, December 2019, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  22. A new algorithm used the Chebyshev pseudospectral method to solve the nonlinear second-order Lienard differential equations

    Article • Journal of Physics Conference Series, November 2019, Institute of Physics Publishing

    Konstantin Petrovich Lovetskiy

  23. Electromagnetic surface waves guided by a twist discontinuity in a uniaxial dielectric with optic axis lying in the discontinuity plane

    Article • Journal of Electromagnetic Waves and Applications, September 2019, Taylor & Francis

    Konstantin Petrovich Lovetskiy

  24. A model of a multilayer smoothly-irregular integrated-optical waveguide in the zero vector approximation: theory and numerical analysis.

    Article • Journal of Radio Electronics, March 2019, Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences

    Konstantin Petrovich Lovetskiy

  25. Statistically Significant Comparative Performance Testing of Julia and Fortran Languages in Case of Runge–Kutta Methods

    Article • January 2019, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  26. Leaky Modes in Laser-Printed Integrated Optical Structures

    Article • January 2019, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  27. Symbolic-numeric research of leaky modes in planar dielectric electromagnetic waveguide as inhomogeneous waves

    Article • January 2019, American Institute of Physics

    Konstantin Petrovich Lovetskiy

  28. Numerical modeling of color perception of optical radiation

    Article • Mathematical Modelling and Geometry, May 2018, Tver State University

    Konstantin Petrovich Lovetskiy

  29. Regularized computation of oscillatory integrals with stationary points

    Article • Journal of Computational Science, May 2018, Elsevier

    Konstantin Petrovich Lovetskiy

  30. One-dimensional "atom" with zero-range potential perturbed by finite sequence of zero-duration laser pulses

    Article • April 2018, SPIE

    Konstantin Petrovich Lovetskiy

  31. The Application of Helmholtz Decomposition Method to Investigation of Multicore Fibers and Their Application in Next-Generation Communications Systems

    Article • January 2018, Springer Science + Business Media

    Mikhail Malykh, Konstantin Petrovich Lovetskiy

  32. Eigen Waves of a Plane Symmetric Anisotropic Waveguide

    Article • RUDN Journal of Mathematics Information Sciences and Physics, January 2018, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  33. Optical Characterization of a Thin-Film Material Based on Light Intensity Measurements

    Article • RUDN Journal of Mathematics Information Sciences and Physics, January 2018, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  34. Simple Model of Nonlinear Spin Waves in Graphene Structures

    Article • RUDN Journal of Mathematics Information Sciences and Physics, January 2018, Peoples' Friendship University of Russia

    Konstantin Petrovich Lovetskiy

  35. Methods of Accelerated Prediction of The Shelf Life of Medical Polysaccharide-Based Hydrogels

    Article • Biomedical Chemistry Research and Methods, January 2018, Institute of Biochemistry

    Konstantin Petrovich Lovetskiy

  36. Field calculation for the horn waveguide transition in the single-mode approximation of the cross-sections method

    Article • April 2017, SPIE

    Konstantin Petrovich Lovetskiy

  37. Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method

    Article • April 2017, SPIE

    Konstantin Petrovich Lovetskiy

  38. Guided Modes of a Planar Gradient Waveguide

    Article • Mathematical Modelling and Geometry, April 2017, Tver State University

    Konstantin Petrovich Lovetskiy

  39. Regularized Computation of Oscillatory Integrals with Stationary Points

    Article • Procedia Computer Science, January 2017, Elsevier

    Konstantin Petrovich Lovetskiy

  40. Synthesis of the Thickness Profile of the Waveguide Layer of the Thin Film Generalized Waveguide Luneburg Lens

    Article • EPJ Web of Conferences, January 2016, EDP Sciences

    Konstantin Petrovich Lovetskiy

  41. Mathematical Modeling of Smoothly-Irregular Integrated-Optical Waveguide and Mathematical Synthesis of Waveguide Luneburg Lens

    Article • January 2016, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  42. Numerical and Analytical Modeling of Guided Modes of a Planar Gradient Waveguide

    Article • January 2016, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  43. Model for spin waves and lasing in monolayer graphene films

    Article • March 2015, SPIE

    Konstantin Petrovich Lovetskiy

  44. Integration of highly oscillatory functions

    Article • Mathematical Modelling and Geometry, December 2014, Tver State University

    Konstantin Petrovich Lovetskiy

  45. NONLINEAR SPIN WAVES IN GRAPHENE STRUCTURES

    Article • SPIN, September 2014, World Scientific Pub Co Pte Lt

    Konstantin Petrovich Lovetskiy

  46. Mathematical Modeling of Irregular Integrated Optical Waveguides

    Article • January 2012, Springer Science + Business Media

    Konstantin Petrovich Lovetskiy

  47. Simulation of guided modes (eigenmodes) and synthesis of a thin-film generalised waveguide Luneburg lens in the zero-order vector approximation

    Article • Quantum Electronics, November 2010, Institute of Physics Publishing

    Konstantin Petrovich Lovetskiy

  48. Photo- and Thermoinduced Changes of the Optical Absorption in Bi12SiO20 Crystals

    Article • Journal of Holography and Speckle, December 2009, American Scientific Publishers

    Konstantin Petrovich Lovetskiy

  49. Invariance of single diode equation and its application

    Article • May 2008, Institute of Electrical & Electronics Engineers (IEEE)

    Konstantin Petrovich Lovetskiy

  50. P-59: Dielectric Constants of Display Optical Components

    Article • SID Symposium Digest of Technical Papers, May 2007, Wiley

    Konstantin Petrovich Lovetskiy

  51. An Exact Penalty Function Method for Solving the Full Eigenvalue and Eigenvector Problem

    Article • Journal of Computational Methods in Sciences and Engineering, February 2002, IOS Press

    Konstantin Petrovich Lovetskiy