All Stories

  1. On calculating the dimension of invariant sets of dynamic systems

    Article • Discrete and Continuous Models and Applied Computational Science, December 2025, Peoples' Friendship University of Russia

    Mikhail Malykh

  2. On integration in quadratures of the first-order ordinary differential equations

    Article • Mathematical Modelling and Geometry, November 2025, Tver State University

    Mikhail Malykh

  3. Finite Difference Models of Dynamical Systems with Polynomial Right-Hand Side

    Article • Physics of Particles and Nuclei, October 2025, Pleiades Publishing Ltd

    Mikhail Malykh

  4. On the algebraic properties of difference approximations of Hamiltonian systems

    Article • Discrete and Continuous Models and Applied Computational Science, October 2025, Peoples' Friendship University of Russia

    Mikhail Malykh

  5. On Summation of Fourier Series in Finite Form Using Generalized Functions

    Article • Mathematics, February 2025, MDPI AG

    Mikhail Malykh

  6. On Calculation of Abelian Differentials

    Article • Programming and Computer Software, February 2025, Pleiades Publishing Ltd

    Mikhail Malykh

  7. 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

  8. On summation of Fourier series in finite form

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

    Mikhail Malykh

  9. On the problem of normal modes of a waveguide

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

    Mikhail Malykh

  10. Difference Schemes for Differential Equations with a Polynomial Right-Hand Side, Defining Birational Correspondences

    Article • Mathematics, August 2024, MDPI AG

    Mikhail Malykh

  11. On the Selection of Weights for Difference Schemes to Approximate Systems of Differential Equations

    Article • Mathematics, July 2024, MDPI AG

    Mikhail Malykh

  12. Finite Difference Models of Dynamical Systems with Quadratic Right-Hand Side

    Article • Mathematics, January 2024, MDPI AG

    Mikhail Malykh

  13. On a set of tests for numerical methods of integrating differential equations, based on the Calogero system

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

    Mikhail Malykh

  14. On Implementation of Numerical Methods for Solving Ordinary Differential Equations in Computer Algebra Systems

    Article • Programming and Computer Software, October 2023, Pleiades Publishing Ltd

    Mikhail Malykh

  15. Implementation of the Adams method for solving ordinary differential equations in the Sage computer algebra system

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

    Mikhail Malykh

  16. On Trajectories of Dynamic Systems Lying on Hypersurfaces of Linear Systems

    Article • Physics of Particles and Nuclei Letters, April 2023, Pleiades Publishing Ltd

    Mikhail Malykh

  17. Analytical Study of Cubature Formulas on a Sphere in Computer Algebra Systems

    Article • Computational Mathematics and Mathematical Physics, January 2023, Pleiades Publishing Ltd

    Mikhail Malykh

  18. On a dispersion curve of a waveguide filled with inhomogeneous substance

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

    Mikhail Malykh

  19. Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics

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

    Mikhail Malykh

  20. On Periodic Approximate Solutions of Dynamical Systems with Quadratic Right-Hand Side

    Article • Journal of Mathematical Sciences, April 2022, Springer Science + Business Media

    Mikhail Malykh

  21. On Normal Modes of a Waveguide

    Article • Computational Mathematics and Mathematical Physics, March 2022, Pleiades Publishing Ltd

    Mikhail Malykh

  22. On the many-body problem with short-range interaction

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

    Mikhail Malykh

  23. On Difference Schemes for the Many-Body Problem Preserving All Algebraic Integrals

    Article • Physics of Particles and Nuclei Letters, February 2022, Pleiades Publishing Ltd

    Mikhail Malykh

  24. Normal modes of a waveguide as eigenvectors of a self-adjoint operator pencil

    Article • Discrete and Continuous Models and Applied Computational Science, December 2021, Peoples' Friendship University of Russia

    Mikhail Malykh

  25. On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme

    Article • Discrete and Continuous Models and Applied Computational Science, December 2021, Peoples' Friendship University of Russia

    Mikhail Malykh

  26. On involutive division on monoids

    Article • Discrete and Continuous Models and Applied Computational Science, December 2021, Peoples' Friendship University of Russia

    Mikhail Malykh

  27. On the Quadratization of the Integrals for the Many-Body Problem

    Article • Mathematics, December 2021, MDPI AG

    Mikhail Malykh

  28. On differential approximations of difference schemes

    Article • Izvestiya of Saratov University Mathematics Mechanics Informatics, November 2021, Saratov State University

    Mikhail Malykh

  29. Richardson-Kalitkin method in abstract description

    Article • Discrete and Continuous Models and Applied Computational Science, September 2021, Peoples' Friendship University of Russia

    Mikhail Malykh

  30. Kinematic support modeling in Sage

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

    Mikhail Malykh

  31. Numerical determination of the singularity order of a system of differential equations

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

    Mikhail Malykh

  32. On the realization of explicit Runge-Kutta schemes preserving quadratic invariants of dynamical systems

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

    Mikhail Malykh

  33. Calculation of the normal modes of closed waveguides

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

    Mikhail Malykh

  34. On symbolic integration of algebraic functions

    Article • Journal of Symbolic Computation, September 2020, Elsevier

    Mikhail Malykh

  35. On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemes

    Article • January 2020, Springer Science + Business Media

    Mikhail Malykh

  36. About Symbolic Integration in the Course of Mathematical Analysis

    Article • Computer Tools in Education, December 2019, St. Petersburg Electrotechnical University LETI

    Mikhail Malykh

  37. On the properties of numerical solutions of dynamical systems obtained using the midpoint method

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

    Mikhail Malykh

  38. On algebraic integrals of a differential equation

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

    Mikhail Malykh

  39. On Difference Schemes Approximating First-Order Differential Equations and Defining a Projective Correspondence Between Layers

    Article • Journal of Mathematical Sciences, June 2019, Springer Science + Business Media

    Mikhail Malykh

  40. On the Representation of Electromagnetic Fields in Discontinuously Filled Closed Waveguides by Means of Continuous Potentials

    Article • Computational Mathematics and Mathematical Physics, February 2019, Pleiades Publishing Ltd

    Mikhail Malykh

  41. Finite Difference Schemes and Classical Transcendental Functions

    Article • January 2019, Springer Science + Business Media

    Mikhail Malykh

  42. On Explicit Difference Schemes for Autonomous Systems of Differential Equations on Manifolds

    Article • January 2019, Springer Science + Business Media

    Mikhail Malykh

  43. On the Calculation of Electromagnetic Fields in Closed Waveguides with Inhomogeneous Filling

    Article • January 2019, Springer Science + Business Media

    Mikhail Malykh

  44. Symbolic-Numeric Implementation of the Four Potential Method for Calculating Normal Modes: An Example of Square Electromagnetic Waveguide with Rectangular Insert

    Article • January 2019, Springer Science + Business Media

    Mikhail Malykh

  45. Symbolic-numeric implementation of the four potential method for calculating normal modes of square electromagnetic waveguide with rectangular insert

    Article • January 2019, American Institute of Physics

    Mikhail Malykh

  46. Calculation of normal modes of the closed waveguides in general vector case

    Article • April 2018, SPIE

    Mikhail Malykh

  47. Simulation of light propagation in the thin-film waveguide lens

    Article • April 2018, SPIE

    Mikhail Malykh

  48. Quasi-Vector Model of Propagation of Polarized Light in a Thin-Film Waveguide Lens

    Article • EPJ Web of Conferences, January 2018, EDP Sciences

    Mikhail Malykh

  49. Diffraction of Electromagnetic Waves on a Waveguide Joint

    Article • EPJ Web of Conferences, January 2018, EDP Sciences

    Mikhail Malykh

  50. Finite Difference Schemes as Algebraic Correspondences between Layers

    Article • EPJ Web of Conferences, January 2018, EDP Sciences

    Mikhail Malykh

  51. Electromagnetic Radiation from the Geometrical Point of View

    Article • MATEC Web of Conferences, January 2018, EDP Sciences

    Mikhail Malykh

  52. 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

  53. On the representation of electromagnetic fields in closed waveguides using four scalar potentials

    Article • Journal of Electromagnetic Waves and Applications, December 2017, Taylor & Francis

    Mikhail Malykh

  54. On an example of a system of differential equations that are integrated in Abelian functions

    Article • Journal of Physics Conference Series, December 2017, Institute of Physics Publishing

    Mikhail Malykh

  55. The numerical-analytical implementation of the cross-sections method to the open waveguide transition of the "horn" type

    Article • April 2017, SPIE

    Mikhail Malykh

  56. On integration of the first order differential equations in a finite terms

    Article • Journal of Physics Conference Series, January 2017, Institute of Physics Publishing

    Mikhail Malykh

  57. The geometrical description of electromagnetic radiation

    Article • Journal of Electromagnetic Waves and Applications, October 2016, Taylor & Francis

    Mikhail Malykh

  58. On Transcendental Functions Arising from Integrating Differential Equations in Finite Terms

    Article • Journal of Mathematical Sciences, August 2015, Springer Science + Business Media

    Mikhail Malykh

  59. Modeling a waveguide with a nonlinear insert with a quadratic nonlinearity

    Article • Moscow University Physics Bulletin, September 2012, Allerton Press

    Mikhail Malykh

  60. On a class of nonlocal parabolic equations

    Article • Computational Mathematics and Mathematical Physics, June 2011, Pleiades Publishing Ltd

    Mikhail Malykh

  61. Dependence of the efficiency of a posteriori estimation of the solution accuracy of an elliptic boundary-value problem on the problem data and estimation algorithm parameters

    Article • Moscow University Physics Bulletin, February 2009, Allerton Press

    Mikhail Malykh

  62. On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation Δν + λν = 0

    Article • Computational Mathematics and Mathematical Physics, February 2009, Pleiades Publishing Ltd

    Mikhail Malykh

  63. The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides

    Article • Computational Mathematics and Mathematical Physics, February 2009, Pleiades Publishing Ltd

    Mikhail Malykh

  64. Geometric interpretation of the tensor of an electromagnetic field with orthogonal components E and B

    Article • Moscow University Physics Bulletin, December 2008, Allerton Press

    Mikhail Malykh

  65. Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition

    Article • Computational Mathematics and Mathematical Physics, December 2006, Pleiades Publishing Ltd

    Mikhail Malykh

  66. The Solution of the Boundary Problem for an Arbitrary Elliptic Operator Satisfying the Radiation Condition

    Article • October 2006, Institute of Electrical & Electronics Engineers (IEEE)

    Mikhail Malykh

  67. The embedded eigenvalues of the waveguide

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Mikhail Malykh