Research interests

  • Asymptotic and numerical methods for solving differential equations;
  • The method of matched asymptotic expansions;
  • Bisingular problems for the systems of differential equations containing a small parameter;
  • Application of the catastrophe theory to the study of solutions of differential equations
  • Interpretation of electromagnetic and seismic monitoring data.

Research output

  1. Asymptotic Problem for Second-Order Ordinary Differential Equation with Nonlinearity Corresponding to a Butterfly Catastrophe

    Research output: Contribution to journal › Article › peer-review

  2. ACCOUNT OF ROCK MASSIF HIERARCHIC HETEROGENEITY BY DEEP MINING USING EXPLOSIONS: book chapter

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  3. Acoustic monitoring of anomaly stressed zones, determination their positions, surfaces, evaluation of catastrophic risk

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Projects

  1. Construction of an asymptotic expansion containing additional intermediate layers which approximates solution of a problem for nonlinear differential equation with partial derivatives of the four independent variables with a small parameter that includes the analysis of typical for this problem point of the “butterfly” catastrophe

    Project: Award Project

  2. Вновь создаваемый ключевой центр превосходства «Научно-образовательный математический центр» (Проект развития САЕ ИЕНиМ)

    Project: Research › Development Project

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ID: 55804