Taras Mel’nyk

721 total citations
50 papers, 539 citations indexed

About

Taras Mel’nyk is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Mechanics of Materials. According to data from OpenAlex, Taras Mel’nyk has authored 50 papers receiving a total of 539 indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Computational Theory and Mathematics, 28 papers in Computational Mechanics and 22 papers in Mechanics of Materials. Recurrent topics in Taras Mel’nyk's work include Advanced Mathematical Modeling in Engineering (50 papers), Advanced Numerical Methods in Computational Mathematics (28 papers) and Composite Material Mechanics (21 papers). Taras Mel’nyk is often cited by papers focused on Advanced Mathematical Modeling in Engineering (50 papers), Advanced Numerical Methods in Computational Mathematics (28 papers) and Composite Material Mechanics (21 papers). Taras Mel’nyk collaborates with scholars based in Ukraine, Italy and Germany. Taras Mel’nyk's co-authors include Antonio Gaudiello, Umberto De Maio, Г. А. Чечкин, Dominique Blanchard, Ciro D’Apice, Ivan Argatov, Christian Rohde and Wolfgang L. Wendland and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and Journal of Optimization Theory and Applications.

In The Last Decade

Taras Mel’nyk

48 papers receiving 512 citations

Peers

Taras Mel’nyk

CTM

Takahito Kashiwabara Japan

S. Kesavan India

S. E. Pastukhova Russia

Nadir Arada Portugal

E. Pérez Spain

Jacqueline Mossino France

Carsten Ebmeyer Germany

Mamadou Sango South Africa

Serge Nicaise France

Delfina Gómez Spain

Takahito Kashiwabara Japan

Taras Mel’nyk

191 ×0.4

CTM

249 ×0.7

131 ×0.4

146 ×1.1

80 ×0.8

Citations per year, relative to Taras Mel’nyk Taras Mel’nyk (= 1×) peers Takahito Kashiwabara

Countries citing papers authored by Taras Mel’nyk

Since Specialization

Citations

This map shows the geographic impact of Taras Mel’nyk's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Taras Mel’nyk with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Taras Mel’nyk more than expected).

Fields of papers citing papers by Taras Mel’nyk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Taras Mel’nyk. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Taras Mel’nyk. The network helps show where Taras Mel’nyk may publish in the future.

Co-authorship network of co-authors of Taras Mel’nyk

This figure shows the co-authorship network connecting the top 25 collaborators of Taras Mel’nyk. A scholar is included among the top collaborators of Taras Mel’nyk based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Taras Mel’nyk. Taras Mel’nyk is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Mel’nyk, Taras & Christian Rohde. (2024). Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains. Nonlinear Differential Equations and Applications NoDEA. 31(6). 1 indexed citations

Mel’nyk, Taras, et al.. (2023). Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions. Asymptotic Analysis. 137(1-2). 27–52. 1 indexed citations

Mel’nyk, Taras & Christian Rohde. (2023). Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks. Journal of Mathematical Analysis and Applications. 529(1). 127587–127587. 4 indexed citations

Mel’nyk, Taras, et al.. (2020). Asymptotic analysis of a contact Hele-Shaw problem in a thin domain. Nonlinear Differential Equations and Applications NoDEA. 27(5).

Gaudiello, Antonio & Taras Mel’nyk. (2019). Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary. Nonlinearity. 32(12). 5150–5169. 13 indexed citations

Mel’nyk, Taras, et al.. (2019). Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2. CERN Document Server (European Organization for Nuclear Research). 5 indexed citations

Mel’nyk, Taras, et al.. (2017). Asymptotic Approximations of the Solution to a Boundary Value Problem in a Thin Aneurysm Type Domain. Journal of Mathematical Sciences. 224(5). 667–693. 4 indexed citations

Mel’nyk, Taras & Г. А. Чечкин. (2015). Eigenvibrations of thick cascade junctions with `very heavy' concentrated masses. Izvestiya Mathematics. 79(3). 467–511. 6 indexed citations

Mel’nyk, Taras. (2014). Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure. Journal of Mathematical Analysis and Applications. 424(2). 1237–1260. 19 indexed citations

10.

Чечкин, Г. А. & Taras Mel’nyk. (2014). High-frequency cell vibrations and spatial skin effect in thick cascade junction with heavy concentrated masses. Comptes Rendus Mécanique. 342(4). 221–228. 3 indexed citations

11.

Mel’nyk, Taras, et al.. (2011). Asymptotic approximations for solutions to quasilinear and linear elliptic problems with different perturbed boundary conditions in perforated domains. Asymptotic Analysis. 75(1-2). 79–92. 2 indexed citations

12.

Mel’nyk, Taras, et al.. (2011). Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1. ESAIM Control Optimisation and Calculus of Variations. 18(2). 583–610. 22 indexed citations

13.

Чечкин, Г. А., et al.. (2010). Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Russian Journal of Mathematical Physics. 17(1). 35–55. 7 indexed citations

14.

Mel’nyk, Taras, et al.. (2010). Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem. Mathematical Methods in the Applied Sciences. 34(7). 758–775. 10 indexed citations

15.

D’Apice, Ciro, Umberto De Maio, & Taras Mel’nyk. (2007). Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Networks and Heterogeneous Media. 2(2). 255–277. 13 indexed citations

16.

Mel’nyk, Taras, et al.. (2006). Asymptotic approximation for the solution of a boundary-value problem with varying type of boundary conditions in a thick two-level junction. Nonlinear oscillations. 9(3). 326–345. 2 indexed citations

17.

Maio, Umberto De & Taras Mel’nyk. (2005). Homogenization of the Robin problem for the Poisson equation in a thick multi‐structure of type 3:2:2. Asymptotic Analysis. 41(2). 161–177. 10 indexed citations

18.

Maio, Umberto De, et al.. (2004). Homogenization of the Robin problem in a thick multilevel junction. Nonlinear oscillations. 7(3). 326–345. 6 indexed citations

19.

Mel’nyk, Taras. (2000). Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1. Mathematical Methods in the Applied Sciences. 23(4). 321–346. 21 indexed citations

20.

Mel’nyk, Taras. (1999). Homogenization of the Poisson Equation in a Thick Periodic Junction. Zeitschrift für Analysis und ihre Anwendungen. 18(4). 953–975. 62 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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