Łukasz Płociniczak

593 total citations
44 papers, 422 citations indexed

About

Łukasz Płociniczak is a scholar working on Modeling and Simulation, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Łukasz Płociniczak has authored 44 papers receiving a total of 422 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Modeling and Simulation, 20 papers in Numerical Analysis and 16 papers in Applied Mathematics. Recurrent topics in Łukasz Płociniczak's work include Fractional Differential Equations Solutions (22 papers), Differential Equations and Numerical Methods (15 papers) and Nonlinear Differential Equations Analysis (11 papers). Łukasz Płociniczak is often cited by papers focused on Fractional Differential Equations Solutions (22 papers), Differential Equations and Numerical Methods (15 papers) and Nonlinear Differential Equations Analysis (11 papers). Łukasz Płociniczak collaborates with scholars based in Poland, Spain and United States. Łukasz Płociniczak's co-authors include W. Okrasiński, Graham W. Griffiths, William E. Schiesser, Marcin Magdziarz, Óscar Domínguez, Juan J. Nieto, Agnieszka Popiołek-Masajada, Zofia Wróblewska, Kishin Sadarangani and Piotr Kowalczyk and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Łukasz Płociniczak

38 papers receiving 399 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Łukasz Płociniczak Poland 13 226 162 158 60 53 44 422
M. Pilar Velasco Spain 12 304 1.3× 154 1.0× 102 0.6× 41 0.7× 46 0.9× 23 409
A. K. Shukla India 10 364 1.6× 282 1.7× 159 1.0× 108 1.8× 18 0.3× 64 562
Qiang Yu Australia 12 340 1.5× 73 0.5× 208 1.3× 76 1.3× 12 0.2× 19 432
Nasser Aghazadeh Iran 10 288 1.3× 139 0.9× 214 1.4× 71 1.2× 33 0.6× 46 435
Alessandra Jannelli Italy 13 202 0.9× 69 0.4× 155 1.0× 41 0.7× 14 0.3× 41 417
A. K. Nandakumaran India 14 80 0.4× 218 1.3× 81 0.5× 186 3.1× 70 1.3× 52 570
Yu. Luchko Germany 6 508 2.2× 133 0.8× 271 1.7× 90 1.5× 29 0.5× 8 602
Mamikon Gulian United States 7 166 0.7× 91 0.6× 99 0.6× 113 1.9× 66 1.2× 16 410
Jiebao Sun China 11 92 0.4× 89 0.5× 94 0.6× 27 0.5× 53 1.0× 45 421
César Palencia Spain 9 233 1.0× 78 0.5× 259 1.6× 91 1.5× 39 0.7× 10 445

Countries citing papers authored by Łukasz Płociniczak

Since Specialization
Citations

This map shows the geographic impact of Łukasz Płociniczak'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 Łukasz Płociniczak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Łukasz Płociniczak more than expected).

Fields of papers citing papers by Łukasz Płociniczak

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Łukasz Płociniczak. 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 Łukasz Płociniczak. The network helps show where Łukasz Płociniczak may publish in the future.

Co-authorship network of co-authors of Łukasz Płociniczak

This figure shows the co-authorship network connecting the top 25 collaborators of Łukasz Płociniczak. A scholar is included among the top collaborators of Łukasz Płociniczak 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 Łukasz Płociniczak. Łukasz Płociniczak is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
López-Fernández, Maŕıa & Łukasz Płociniczak. (2025). Convolution Quadrature for the Quasilinear Subdiffusion Equation. SIAM Journal on Numerical Analysis. 63(4). 1482–1511.
2.
Płociniczak, Łukasz, et al.. (2024). From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme. Communications in Nonlinear Science and Numerical Simulation. 139. 108316–108316.
3.
Caballero, J., Łukasz Płociniczak, & Kishin Sadarangani. (2024). Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish. Applied Mathematics and Computation. 477. 128798–128798. 1 indexed citations
4.
Teso, Félix del & Łukasz Płociniczak. (2024). A note on the L1 discretization error for the Caputo derivative in Hölder spaces. Applied Mathematics Letters. 161. 109364–109364.
5.
Caballero, J., et al.. (2024). Collocation method for a functional equation arising in behavioral sciences. Journal of Computational and Applied Mathematics. 458. 116343–116343.
6.
Płociniczak, Łukasz, et al.. (2024). Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. Computers & Mathematics with Applications. 165. 217–223.
7.
Wróblewska, Zofia, Piotr Kowalczyk, & Łukasz Płociniczak. (2023). Stability of fixed points in an approximate solution of the spring-mass running model. IMA Journal of Applied Mathematics. 88(3). 429–454. 1 indexed citations
8.
Płociniczak, Łukasz, et al.. (2022). Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method. Fractional Calculus and Applied Analysis. 25(4). 1651–1687. 6 indexed citations
9.
Płociniczak, Łukasz, et al.. (2020). Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Communications in Nonlinear Science and Numerical Simulation. 96. 105647–105647. 2 indexed citations
10.
Płociniczak, Łukasz, et al.. (2020). Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise. Journal of Mathematical Analysis and Applications. 490(1). 124237–124237. 4 indexed citations
11.
Płociniczak, Łukasz, et al.. (2020). Asymptotic Solution of a Boundary Value Problem for a Spring–Mass Model of Legged Locomotion. Journal of Nonlinear Science. 30(6). 2971–2988. 3 indexed citations
12.
Płociniczak, Łukasz, et al.. (2018). Existence and uniqueness results for a time-fractional nonlinear diffusion equation. Journal of Mathematical Analysis and Applications. 462(2). 1425–1434. 16 indexed citations
13.
Płociniczak, Łukasz, et al.. (2017). Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Physica D Nonlinear Phenomena. 362. 1–8. 9 indexed citations
14.
Griffiths, Graham W., Łukasz Płociniczak, & William E. Schiesser. (2016). Analysis of cornea curvature using radial basis functions – Part I: Methodology. Computers in Biology and Medicine. 77. 274–284. 26 indexed citations
15.
Płociniczak, Łukasz, W. Okrasiński, Juan J. Nieto, & Óscar Domínguez. (2014). On a nonlinear boundary value problem modeling corneal shape. Journal of Mathematical Analysis and Applications. 414(1). 461–471. 16 indexed citations
16.
Płociniczak, Łukasz. (2014). Approximation of the Erdélyi--Kober Operator with Application to the Time-Fractional Porous Medium Equation. SIAM Journal on Applied Mathematics. 74(4). 1219–1237. 36 indexed citations
17.
Płociniczak, Łukasz & W. Okrasiński. (2013). Regularization of an ill-posed problem in corneal topography. Inverse Problems in Science and Engineering. 21(6). 1090–1097. 11 indexed citations
18.
Płociniczak, Łukasz. (2013). ON ASYMPTOTICS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS. Mathematical Modelling and Analysis. 18(3). 358–373. 9 indexed citations
19.
Płociniczak, Łukasz, et al.. (2013). Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative. Physica D Nonlinear Phenomena. 261. 85–91. 14 indexed citations
20.
Okrasiński, W. & Łukasz Płociniczak. (2013). Bessel function model of corneal topography. Applied Mathematics and Computation. 223. 436–443. 16 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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