M.A. Botchev

710 total citations
30 papers, 450 citations indexed

About

M.A. Botchev is a scholar working on Computational Mechanics, Numerical Analysis and Electrical and Electronic Engineering. According to data from OpenAlex, M.A. Botchev has authored 30 papers receiving a total of 450 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Mechanics, 17 papers in Numerical Analysis and 14 papers in Electrical and Electronic Engineering. Recurrent topics in M.A. Botchev's work include Numerical methods for differential equations (17 papers), Advanced Numerical Methods in Computational Mathematics (14 papers) and Electromagnetic Simulation and Numerical Methods (13 papers). M.A. Botchev is often cited by papers focused on Numerical methods for differential equations (17 papers), Advanced Numerical Methods in Computational Mathematics (14 papers) and Electromagnetic Simulation and Numerical Methods (13 papers). M.A. Botchev collaborates with scholars based in Netherlands, Russia and United Kingdom. M.A. Botchev's co-authors include Rony Keppens, J.G. Verwer, J.J.W. van der Vegt, G. Tóth, J. P. Goedbloed, B. van der Holst, A. J. C. Beliën, Bernard J. Geurts, Gérard L. G. Sleijpen and Roberto Verzicco and has published in prestigious journals such as Journal of Computational Physics, Computer Physics Communications and SIAM Journal on Scientific Computing.

In The Last Decade

M.A. Botchev

25 papers receiving 428 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
M.A. Botchev Netherlands 13 238 158 133 91 84 30 450
Daniel Ruprecht Germany 11 179 0.8× 145 0.9× 90 0.7× 16 0.2× 74 0.9× 38 398
Daniel R. Reynolds United States 11 132 0.6× 85 0.5× 42 0.3× 140 1.5× 42 0.5× 30 396
Robert B. Lowrie United States 18 598 2.5× 122 0.8× 32 0.2× 112 1.2× 32 0.4× 46 838
Christopher A. Kennedy United States 8 672 2.8× 416 2.6× 126 0.9× 29 0.3× 65 0.8× 9 917
Vincent A. Mousseau United States 17 582 2.4× 257 1.6× 45 0.3× 15 0.2× 107 1.3× 38 821
Bo Strand Sweden 7 408 1.7× 125 0.8× 140 1.1× 28 0.3× 25 0.3× 13 578
Huazhong Tang China 21 940 3.9× 253 1.6× 63 0.5× 33 0.4× 45 0.5× 61 1.2k
Pascal Omnès France 9 451 1.9× 108 0.7× 116 0.9× 51 0.6× 109 1.3× 30 578
Hans Johnston United States 7 423 1.8× 74 0.5× 37 0.3× 35 0.4× 31 0.4× 11 547
James S. Warsa United States 12 255 1.1× 72 0.5× 31 0.2× 13 0.1× 108 1.3× 44 502

Countries citing papers authored by M.A. Botchev

Since Specialization
Citations

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

Fields of papers citing papers by M.A. Botchev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M.A. Botchev. 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 M.A. Botchev. The network helps show where M.A. Botchev may publish in the future.

Co-authorship network of co-authors of M.A. Botchev

This figure shows the co-authorship network connecting the top 25 collaborators of M.A. Botchev. A scholar is included among the top collaborators of M.A. Botchev 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 M.A. Botchev. M.A. Botchev 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.
Botchev, M.A., et al.. (2025). On Positivity of the Local IterationModified Time Integration Scheme. Lobachevskii Journal of Mathematics. 46(1). 31–42.
2.
3.
Botchev, M.A., Sergey Kabanikhin, Maxim Shishlenin, & Е. Е. Тыртышников. (2023). The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method. Journal of Inverse and Ill-Posed Problems. 0(0).
4.
Botchev, M.A., et al.. (2017). Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources. Journal of Computational and Applied Mathematics. 340. 474–485. 5 indexed citations
5.
Botchev, M.A., et al.. (2016). A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations. Journal of Computational and Applied Mathematics. 316. 229–246. 11 indexed citations
6.
Botchev, M.A.. (2015). Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling. Journal of Computational and Applied Mathematics. 293. 20–34. 20 indexed citations
7.
Botchev, M.A., Ivan Oseledets, & Е. Е. Тыртышников. (2014). Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. Computers & Mathematics with Applications. 67(12). 2088–2098. 3 indexed citations
8.
Botchev, M.A.. (2012). A block Krylov subspace time-exact solution method for linear ODE systems. 1 indexed citations
9.
Botchev, M.A., et al.. (2012). Time-integration methods for finite element discretisations of the second-order Maxwell equation. Computers & Mathematics with Applications. 65(3). 528–543. 11 indexed citations
10.
Verwer, J.G. & M.A. Botchev. (2009). Unconditionally stable integration of Maxwell’s equations. Linear Algebra and its Applications. 431(3-4). 300–317. 20 indexed citations
11.
Botchev, M.A., Gérard L. G. Sleijpen, & Ardhasena Sopaheluwakan. (2009). An SVD-approach to Jacobi–Davidson solution of nonlinear Helmholtz eigenvalue problems. Linear Algebra and its Applications. 431(3-4). 427–440. 13 indexed citations
12.
Botchev, M.A. & J.G. Verwer. (2009). Numerical Integration of Damped Maxwell Equations. SIAM Journal on Scientific Computing. 31(2). 1322–1346. 20 indexed citations
13.
Botchev, M.A., et al.. (2008). Application of operator splitting to the Maxwell equations including a source term. Applied Numerical Mathematics. 59(3-4). 522–541. 17 indexed citations
14.
Botchev, M.A., et al.. (2006). The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations. Journal of Computational Physics. 216(2). 654–686. 14 indexed citations
15.
Botchev, M.A. & J.G. Verwer. (2003). A new approximate matrix factorization for implicit time integration in air pollution modeling. Journal of Computational and Applied Mathematics. 157(2). 309–327. 10 indexed citations
16.
Beliën, A. J. C., M.A. Botchev, J. P. Goedbloed, B. van der Holst, & Rony Keppens. (2002). FINESSE: Axisymmetric MHD Equilibria with Flow. Journal of Computational Physics. 182(1). 91–117. 69 indexed citations
17.
Beliën, A. J. C., M.A. Botchev, J. P. Goedbloed, B. van der Holst, & Rony Keppens. (2002). New numerical tools to study waves and instabilities of flowing plasmas. Computer Physics Communications. 147(1-2). 497–500. 1 indexed citations
18.
Botchev, M.A., et al.. (2000). Solving vertical transport and chemistry in air pollution models. University of Twente Research Information. 1–16. 3 indexed citations
19.
Keppens, Rony, G. Tóth, M.A. Botchev, & Atze van der Ploeg. (1999). Implicit and semi-implicit schemes: Algorithms. International Journal for Numerical Methods in Fluids. 30(3). 335–352. 25 indexed citations
20.
Botchev, M.A.. (1996). ICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer ScienceICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer Science. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 76(S1). 311–362. 1 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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