Petr N. Vabishchevich

1.4k total citations
92 papers, 717 citations indexed

About

Petr N. Vabishchevich is a scholar working on Numerical Analysis, Computational Mechanics and Applied Mathematics. According to data from OpenAlex, Petr N. Vabishchevich has authored 92 papers receiving a total of 717 indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Numerical Analysis, 43 papers in Computational Mechanics and 31 papers in Applied Mathematics. Recurrent topics in Petr N. Vabishchevich's work include Differential Equations and Numerical Methods (46 papers), Advanced Numerical Methods in Computational Mathematics (38 papers) and Advanced Mathematical Modeling in Engineering (29 papers). Petr N. Vabishchevich is often cited by papers focused on Differential Equations and Numerical Methods (46 papers), Advanced Numerical Methods in Computational Mathematics (38 papers) and Advanced Mathematical Modeling in Engineering (29 papers). Petr N. Vabishchevich collaborates with scholars based in Russia, United States and Bulgaria. Petr N. Vabishchevich's co-authors include Alexander Churbanov, Oleg Iliev, A.A. Samarskii, В. И. Васильев, F.J. Lisbona, Maria Vasilyeva, Yalchin Efendiev, Francisco J. Gaspar, P Minev and Wing Tat Leung and has published in prestigious journals such as Journal of Computational Physics, International Journal of Heat and Mass Transfer and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Petr N. Vabishchevich

83 papers receiving 688 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Petr N. Vabishchevich Russia 14 359 243 229 211 158 92 717
П. Н. Вабищевич Russia 10 259 0.7× 173 0.7× 185 0.8× 163 0.8× 175 1.1× 62 626
Thanh Tran Australia 14 300 0.8× 156 0.6× 88 0.4× 385 1.8× 118 0.7× 73 818
Raphaèle Herbin France 17 900 2.5× 417 1.7× 238 1.0× 144 0.7× 74 0.5× 46 1.1k
Mazen Saad France 15 569 1.6× 333 1.4× 71 0.3× 82 0.4× 72 0.5× 69 956
Franck Boyer France 20 1.0k 2.9× 720 3.0× 130 0.6× 147 0.7× 239 1.5× 45 1.7k
Friedhelm Schieweck Germany 14 812 2.3× 332 1.4× 160 0.7× 218 1.0× 17 0.1× 31 936
Vít Dolejší Czechia 20 1.1k 3.0× 299 1.2× 431 1.9× 239 1.1× 33 0.2× 65 1.2k
Natalia Kopteva Ireland 20 419 1.2× 393 1.6× 803 3.5× 74 0.4× 34 0.2× 54 985
V. V. Shelukhin Russia 14 459 1.3× 177 0.7× 54 0.2× 63 0.3× 380 2.4× 73 931

Countries citing papers authored by Petr N. Vabishchevich

Since Specialization
Citations

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

Fields of papers citing papers by Petr N. Vabishchevich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Petr N. Vabishchevich. 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 Petr N. Vabishchevich. The network helps show where Petr N. Vabishchevich may publish in the future.

Co-authorship network of co-authors of Petr N. Vabishchevich

This figure shows the co-authorship network connecting the top 25 collaborators of Petr N. Vabishchevich. A scholar is included among the top collaborators of Petr N. Vabishchevich 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 Petr N. Vabishchevich. Petr N. Vabishchevich 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.
Vabishchevich, Petr N.. (2025). Decoupling technology for systems of evolutionary equations. Computers & Mathematics with Applications. 191. 105–128.
2.
Vabishchevich, Petr N.. (2024). Computational decomposition and composition technique for approximate solution of nonstationary problems. Journal of Computational and Applied Mathematics. 451. 116111–116111. 1 indexed citations
3.
Vabishchevich, Petr N.. (2024). Difference Operator Approximations on Nonstandard Rectangular Grid. Computational Mathematics and Mathematical Physics. 64(7). 1367–1380.
4.
Vabishchevich, Petr N.. (2023). Numerical-analytical Methods for Solving the Cauchy Problem for Evolutionary Equations with Memory. Lobachevskii Journal of Mathematics. 44(10). 4195–4204.
5.
Vabishchevich, Petr N.. (2023). Difference Decomposition Schemes Based on Splitting the Solution and Operator of the Problem. Differential Equations. 59(7). 945–961. 1 indexed citations
6.
Vabishchevich, Petr N., et al.. (2023). Difference schemes with weights for modelling fluid flows in the shallow water approximation. Vyčislitelʹnye metody i programmirovanie. 24(4). 450–462. 1 indexed citations
7.
Chung, Eric T., Yalchin Efendiev, Wing Tat Leung, & Petr N. Vabishchevich. (2021). Contrast-independent partially explicit time discretizations for multiscale flow problems. Journal of Computational Physics. 445. 110578–110578. 18 indexed citations
8.
Vabishchevich, Petr N.. (2019). Three-Level Schemes for the Advection Equation. Differential Equations. 55(7). 905–914. 2 indexed citations
9.
Čiegis, Raimondas & Petr N. Vabishchevich. (2019). Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. Computers & Mathematics with Applications. 80(2). 305–315. 6 indexed citations
10.
Vabishchevich, Petr N.. (2019). Computational Identification of the Time Dependence of the Right-Hand Side of a Hyperbolic Equation. Computational Mathematics and Mathematical Physics. 59(9). 1475–1483. 2 indexed citations
11.
Vabishchevich, Petr N., et al.. (2017). Time step selection for the numerical solution of boundary value problems for parabolic equations. Computational Mathematics and Mathematical Physics. 57(5). 843–853. 1 indexed citations
12.
Minev, P, Shriram Srinivasan, & Petr N. Vabishchevich. (2017). Flux formulation of parabolic equations with highly heterogeneous coefficients. Journal of Computational and Applied Mathematics. 340. 582–601. 3 indexed citations
13.
Vabishchevich, Petr N.. (2017). Vector domain decomposition schemes for parabolic equations. Computational Mathematics and Mathematical Physics. 57(9). 1511–1527. 4 indexed citations
14.
Vabishchevich, Petr N. & Michael V. Klibanov. (2016). Numerical identification of the leading coefficient of a parabolic equation. Differential Equations. 52(7). 855–862. 10 indexed citations
15.
Vabishchevich, Petr N., et al.. (2014). Splitting schemes for poroelasticity and thermoelasticity problems. Computers & Mathematics with Applications. 67(12). 2185–2198. 31 indexed citations
16.
Vabishchevich, Petr N.. (2013). Flux-splitting schemes for parabolic equations with mixed derivatives. Computational Mathematics and Mathematical Physics. 53(8). 1139–1152. 7 indexed citations
17.
Vabishchevich, Petr N.. (2012). Construction of splitting schemes based on transition operator approximation. Computational Mathematics and Mathematical Physics. 52(2). 235–244. 3 indexed citations
18.
Vabishchevich, Petr N.. (2002). Iterative Methods for Solving Convection-diffusion Problem. Computational Methods in Applied Mathematics. 2(4). 410–444. 1 indexed citations
19.
Churbanov, Alexander, et al.. (1999). A Multi-Block Orthogonal Grid Generation Using CAD System.. IMR. 179–186. 2 indexed citations
20.
Samarskii, A.A., et al.. (1998). STABILITY AND CONVERGENCE OF TWO-LEVEL DIFFERENCE SCHEMES IN INTEGRAL WITH RESPECT TO TIME NORMS. Mathematical Models and Methods in Applied Sciences. 8(6). 1055–1070. 2 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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