Mikhail Shashkov

9.0k total citations · 1 hit paper
153 papers, 6.7k citations indexed

About

Mikhail Shashkov is a scholar working on Computational Mechanics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Mikhail Shashkov has authored 153 papers receiving a total of 6.7k indexed citations (citations by other indexed papers that have themselves been cited), including 140 papers in Computational Mechanics, 27 papers in Numerical Analysis and 20 papers in Applied Mathematics. Recurrent topics in Mikhail Shashkov's work include Computational Fluid Dynamics and Aerodynamics (92 papers), Advanced Numerical Methods in Computational Mathematics (87 papers) and Lattice Boltzmann Simulation Studies (20 papers). Mikhail Shashkov is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (92 papers), Advanced Numerical Methods in Computational Mathematics (87 papers) and Lattice Boltzmann Simulation Studies (20 papers). Mikhail Shashkov collaborates with scholars based in United States, Czechia and France. Mikhail Shashkov's co-authors include Konstantin Lipnikov, James M. Hyman, E.J. Caramana, Stanly Steinberg, L.G. Margolin, Milan Kuchařík, P.P. Whalen, Franco Brezzi, Donald E. Burton and Hyung Taek Ahn and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Mikhail Shashkov

148 papers receiving 6.3k citations

Hit Papers

Mimetic finite difference method 2013 2026 2017 2021 2013 100 200 300

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mikhail Shashkov United States 47 5.9k 952 936 843 802 153 6.7k
Steven J. Ruuth Canada 29 2.9k 0.5× 1.6k 1.6× 359 0.4× 556 0.7× 334 0.4× 58 4.2k
J. Peraire United States 51 7.8k 1.3× 1.0k 1.1× 1.2k 1.3× 694 0.8× 860 1.1× 229 10.4k
Tim Warburton United States 32 3.5k 0.6× 681 0.7× 829 0.9× 458 0.5× 276 0.3× 89 5.5k
David E. Keyes Saudi Arabia 33 2.7k 0.5× 987 1.0× 502 0.5× 1.3k 1.6× 236 0.3× 233 5.1k
Jean‐Luc Guermond United States 40 6.2k 1.1× 1.2k 1.3× 1.2k 1.2× 1.5k 1.8× 575 0.7× 167 7.6k
Weizhang Huang United States 32 2.4k 0.4× 1.1k 1.2× 447 0.5× 616 0.7× 334 0.4× 108 3.3k
George J. Fix United States 21 2.1k 0.4× 767 0.8× 1.5k 1.6× 825 1.0× 296 0.4× 57 4.1k
Thomas A. Manteuffel United States 37 3.5k 0.6× 1.3k 1.3× 1.1k 1.2× 2.4k 2.9× 247 0.3× 141 5.1k
Olivier Pironneau France 36 4.3k 0.7× 692 0.7× 1.1k 1.2× 1.7k 2.1× 683 0.9× 153 6.1k
Alexandre Ern France 40 6.0k 1.0× 1.4k 1.4× 2.2k 2.4× 2.4k 2.8× 520 0.6× 199 7.4k

Countries citing papers authored by Mikhail Shashkov

Since Specialization
Citations

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

Fields of papers citing papers by Mikhail Shashkov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mikhail Shashkov

This figure shows the co-authorship network connecting the top 25 collaborators of Mikhail Shashkov. A scholar is included among the top collaborators of Mikhail Shashkov 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 Mikhail Shashkov. Mikhail Shashkov 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.
Shashkov, Mikhail, et al.. (2024). Machine Learning Approaches for the Solution of the Riemann Problem in Fluid Dynamics: a Case Study. Communications on Applied Mathematics and Computation. 6(3). 1832–1859. 3 indexed citations
2.
Svyatskiy, D., Mikhail Shashkov, & Dmitri Kuzmin. (2024). The discrete maximum principle for finite element approximations of anisotropic diffusion problems on arbitrary meshes. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information).
3.
Shashkov, Mikhail. (2023). An adaptive moments-based interface reconstruction using intersection of the cell with one half-plane, two half-planes and a circle. Journal of Computational Physics. 494. 112504–112504. 4 indexed citations
4.
Gyrya, Vitaliy, et al.. (2023). Optimization of Artificial Viscosity in Production Codes Based on Gaussian Regression Surrogate Models. Communications on Applied Mathematics and Computation. 6(3). 1521–1550.
5.
Shashkov, Mikhail, et al.. (2023). Moments-based interface reconstruction, remap and advection. Journal of Computational Physics. 479. 111998–111998. 15 indexed citations
6.
Kuchařík, Milan, et al.. (2018). Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methods. Computers & Mathematics with Applications. 78(2). 654–669. 1 indexed citations
7.
Shashkov, Mikhail, et al.. (2018). An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Computers & Mathematics with Applications. 78(2). 258–273. 16 indexed citations
8.
Sambasivan, Shiv Kumar, Mikhail Shashkov, & Donald E. Burton. (2012). A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. Journal of Computational Physics. 237. 251–288. 14 indexed citations
9.
Breil, J., et al.. (2012). A swept‐intersection‐based remapping method in a ReALE framework. International Journal for Numerical Methods in Fluids. 72(6). 697–708. 6 indexed citations
10.
Bailey, David A., Markus Berndt, Milan Kuchařík, & Mikhail Shashkov. (2009). Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian–Eulerian methods. Journal of Computational and Applied Mathematics. 233(12). 3148–3156. 7 indexed citations
11.
Kuchařík, Milan, Richard Liška, Pavel Váchal, & Mikhail Shashkov. (2006). Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics. Czech digital mathematics library. 178–183. 1 indexed citations
12.
Garimella, Rao, et al.. (2004). Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids.. IMR. 459–470. 5 indexed citations
13.
Berndt, Markus & Mikhail Shashkov. (2003). Multilevel Accelerated Optimization for Problems in Grid Generation.. IMR. 351–359. 2 indexed citations
14.
Campbell, J. & Mikhail Shashkov. (2003). A Compatible Lagrangian Hydrodynamics Algorithm for Unstructured Grids. 4(2). 53–70. 26 indexed citations
15.
Garimella, Rao, Mikhail Shashkov, & Patrick Knupp. (2002). Optimization of Surface Mesh Quality Using Local Parametrization.. IMR. 41–52. 16 indexed citations
16.
Liška, Richard, et al.. (2002). Support operator method for Laplace equation on unstructured triangular grid. 3(1). 21–48. 6 indexed citations
17.
Shashkov, Mikhail & Patrick Knupp. (2001). Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes.. IMR. 3 indexed citations
18.
Hyman, James M., Mikhail Shashkov, & Stanly Steinberg. (2001). The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods. Computers & Mathematics with Applications. 42(12). 1527–1547. 19 indexed citations
19.
Hyman, James M. & Mikhail Shashkov. (1997). Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Computers & Mathematics with Applications. 33(4). 81–104. 145 indexed citations
20.
Castillo, José E., James M. Hyman, Mikhail Shashkov, & Stanly Steinberg. (1995). The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension. Computers & Mathematics with Applications. 30(8). 41–55. 32 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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