Academic affairs: CV, selected publications and related information

I am a specialist in scientific computing, mathematical modelling and data analysis. My major topics of research are numerical investigation of phenomena with differential equations and studies of the evolution of open stochastic dynamical systems of diverse nature.

My professional activities on the first subject include the development of highly accurate computational methods (involving those designed for high-performance computing) that ensure physical fidelity to the numerical solutions and are applicable in domains of irregular shape, the development of computationally cheap and flexible artificial boundary conditions, simulation of various qualitative regimes of evolution of complex nonlinear dynamical systems, among others.

The second subject implies the development of time series analysis methods aimed at detecting various mechanisms of the transition of dynamical systems to critical states, the search for quantitative precursors of catastrophes, studies of self-organisation, chaos and disorder in complex systems and related issues.

As of February 2026 I have over 70 publications in regular journals, collection volumes, conference proceedings, etc. The full list of publications is annexed to the academic Curriculum Vitae. You will find my e-mail addresses in the CV, while here are my professional profiles on Web of Science, Scopus and ORCID. You can send me a message via LinkedIn as well. Portfolios of some of the R&D projects that I have participated in can be found on the website of the consultancy Sceptica Scientific.

Below are selected papers of mine. The majority of papers available here are electronic preprints. For the electronic reprints please refer to the publishers' websites by clicking on the corresponding icon |↗|.

- D.M. Filatov, Splitting as an Approach to Constructing Local Exact Artiﬁcial Boundary Conditions, Applied Mathematics and Computation, 170 (2005) 1209–1242 |↗|
- Yu.N. Skiba and D.M. Filatov, On Splitting-based Mass and Total Energy Conserving Arbitrary Order Shallow-Water Schemes, Numerical Methods for Partial Differential Equations, 23 (2007) 534–552 |↗|
- Yu.N. Skiba and D.M. Filatov, Conservative Arbitrary Order Finite Difference Schemes for Shallow-Water Flows, Journal of Computational and Applied Mathematics, 218 (2008) 579–591 |↗|
- Yu.N. Skiba and D.M. Filatov, Simulation of Soliton-like Waves Generated by Topography with Conservative Fully Discrete Shallow-Water Arbitrary-Order Schemes, International Journal of Numerical Methods for Heat & Fluid Flow, 19 (2009) 982–1007 |↗|
- Yu.N. Skiba and D.M. Filatov, Simulation of Nonlinear Diffusion on a Sphere, International Conference on Simulation and Modelling Methodologies, Technologies and Applications (SIMULTECH 2011), 29-31 July 2011, Noordwijkerhout, the Netherlands (Best Paper Award |↗|; the presentation is here). An extended version of the paper is Numerical Modelling of Nonlinear Diffusion Phenomena on a Sphere, in: N. Pina et al. (eds.), Advances in Intelligent Systems and Computing, 197 (2013) 57–70 |↗|
- Yu.N. Skiba and D.M. Filatov, Simulation of Shallow-Water Flows in Complex Bay-like Domains, 2nd International Conference on Simulation and Modelling Methodologies, Technologies and Applications (SIMULTECH 2012), 28-31 July 2012, Rome, Italy (the presentation is here). An extended version of the paper is Numerical Simulation of Coastal Flows in Open Multiply-Connected Irregular Domains, in: M.S. Obaidat et al. (eds.), Advances in Intelligent Systems and Computing, 256 (2014) 71–84 |↗|
- Yu.N. Skiba and D.M. Filatov, Splitting-based Schemes for Numerical Solution of Nonlinear Diffusion Equations on a Sphere, Applied Mathematics and Computation, 219 (2013) 8467–8485 |↗|
- D.M. Filatov, A Method for Identification of Critical States of Open Stochastic Dynamical Systems Based on the Analysis of Acceleration, Journal of Statistical Physics, 165 (2016) 681–692 |↗|
- Yu.N. Skiba and D.M. Filatov, A Numerical Study of Nonlinear Diffusion Phenomena in Heterogeneous Media: Energy Transfer at Diverse Blow-Up Modes and Self-Organisation Processes, The European Physical Journal Special Topics, 226 (2017) 3303–3314 |↗|
- D.M. Filatov and A.A. Lyubushin, Fractal Analysis of GPS Time Series for Early Detection of Disastrous Seismic Events, Physica A: Statistical Mechanics and its Applications, 469 (2017) 718–730 |↗|
- D.M. Filatov and A.A. Lyubushin, Stochastic Dynamical Systems Always Undergo Trending Mechanisms of Transition to Criticality, Physica A: Statistical Mechanics and its Applications, 527 (2019) 121309 |↗|

Omissions noticed: the partial coherence coefficient is the maximum eigenvalue of the matrix in Eq. (8); the mutual coherence coefficient is the p'th root of the product in Eq. (10).

- D.M. Filatov and A.A. Lyubushin, Precursory Analysis of GPS Time Series for Seismic Hazard Assessment, Pure and Applied Geophysics, 177 (2020) 509–530 |↗|

Omissions noticed: the partial coherence coefficient is the maximum eigenvalue of the matrix in Eq. (2); the mutual coherence coefficient is the p'th root of the product in Eq. (4).

- D.M. Filatov, On Spatial Synchronisation as a Manifestation of Irregular Energy Cascades in Continuous Media under the Transition to Criticality, Nonlinear Dynamics, 109 (2022) 2573-2594 |↗|

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