Mikhail (Mike) A. Botchev (Bochev)

• Get in touch
• A short CV
• PhD students
• Publications: complete list, journal and conference papers, preprints
  Author profiles: Science Index, Web of Sciences, Scopus, MathSciNet, ORCID, google scholar
• Teaching
• Research interests:
  • Efficient time integration for large scale problems software: expmARPACK, matrix exponential with Arnoldi methods.
  • Numerical linear algebra, preconditioned iterations software: GMRESR and BiCGstab(l)
  • Computational electromagnetics
  • Parallel computation
  • I have previously worked on
    • Solvers for Maxwell's equations discretized by vector and DG finite elements
    • Numerical air pollution modelling: papers, software: TM3 and TM5 codes
    • Numerical plasma dynamics: papers, software: the VAC code
• Other links   A.N.Krylov

All publications (my google scholar profile)

37. M.A. Botchev, L.A. Knizhnerman, E.E. Tyrtyshnikov,

Residual and Restarting in Krylov Subspace Evaluation of the Function, SIAM Journal on Scientific Computing 43 (6), A3733-A3759, 2021.

36. M.A. Botchev,

Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods, Journal of Physics: Conference Series 2028 (1), 012021, 2021, doi:10.1088/1742-6596/2028/1/012021: pdf.

35. M.A. Botchev,

An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices, Computational Mathematics and Mathematical Physics 61 (5), pp. 684-698, doi:10.1134/S0965542521050031: pdf.

34. M.A. Botchev,

A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling, Computers & Mathematics with Applications, 2020, Vol. 80 (2), pp. 295-304, doi:10.1016/j.camwa.2019.08.010: pdf.

33. M.A. Botchev, L.A. Knizhnerman,

ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations, J. Comput. Appl. Math. (ISSN: 0377-0427), 2020, Vol. 364, 112311, doi:10.1016/j.cam.2019.06.027: pdf.

32. G.L. Kooij, M.A. Botchev, B.J. Geurts,

An exponential time integrator for the incompressible Navier-Stokes equation, SIAM J. Sci. Comput. (ISSN (print): 1064-8275 ISSN (online): 1095-7197), 2018, Vol. 40, No. 3, pp. B684–B705, doi:10.1137/17M1121950: pdf.

31. G.L. Kooij, M.A. Botchev, E.M.A. Frederix, B.J. Geurts, S. Horn, D. Lohse, E.P. van der Poel, O. Shishkina, R.J.A.M. Stevens, R. Verzicco,

Comparison of computational codes for direct numerical simulations of turbulent Rayleigh-Bénard convection, Computers & Fluids 166, 2018, pp. 1-8, doi:10.1016/j.compfluid.2018.01.010: pdf.

30. M.A. Botchev, A.M. Hanse, R. Uppu,

Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources, J. Comput. Appl. Math. (ISSN: 0377-0427), Vol. 340, 2018, pp. 474-485, doi:10.1016/j.cam.2017.12.014: pdf.

29. G.L. Kooij, M.A. Botchev, B.J. Geurts,

A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations, J. Comput. Appl. Math. (ISSN: 0377-0427), Vol. 316, 2017, pp. 229-246, doi:10.1016/j.cam.2016.09.036: pdf.

28. M.A. Botchev,

Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling, J. Comput. Appl. Math. (ISSN: 0377-0427), Vol. 293, February 2016, pp. 20-34, doi:10.1016/j.cam.2015.04.022: pdf.

27. G.L. Kooij, M.A. Botchev, B.J. Geurts,

Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection, International Journal of Heat and Fluid Flow (ISSN: 0142-727X), Vol. 55, October 2015, pp. 26-33, doi:10.1016/j.ijheatfluidflow.2015.05.016: pdf.

26. M.A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov,

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation, Computers and Mathematics with Applications (ISSN 0898-1221), Vol. 67, Issue 12, July 2014, pp. 2088-2098, doi:10.1016/j.camwa.2014.03.002: pdf.

25. D. Sármány, M.A. Botchev, J.J.W. van der Vegt,

Time-integration methods for finite element discretisations of the second-order Maxwell equation. Computers and Mathematics with Applications (ISSN 0898-1221), Vol. 65, Issue 3, February 2013, pp. 528–543, doi:10.1016/j.camwa.2012.05.023: pdf. Based on preprint 24.

24. M.A. Botchev,

A block Krylov subspace time-exact solution method for linear ODE systems. Numer. Linear Algebra Appl. (ISSN: 1070-5325), 2013, Vol. 20, Issue 4, pp. 557-574, doi:10.1002/nla.1865: pdf, bibTeX. Based on preprint 23.

23. M.A. Botchev, Volker Grimm and Marlis Hochbruck,

Residual, restarting and Richardson iteration for the matrix exponential. SIAM J. Sci. Comput. (ISSN (print): 1064-8275 ISSN (online): 1095-7197), 2013, Vol. 35, No. 3, pp. A1376-A1397, doi:10.1137/110820191: pdf, bibTeX. Based on preprint 26.

22. M.A. Botchev, G.L.G. Sleijpen, A. Sopaheluwakan,

An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems, "Linear Algebra and its Applications" (ISSN: 0024-3795), 2009, Volume 431, Issues 3-4, pp. 427-440, doi:10.1016/j.laa.2009.03.024: pdf. (Revised version of preprint 19.)

21. J.G. Verwer, M.A. Botchev,

Unconditionally stable integration of Maxwell's equations, "Linear Algebra and its Applications" (ISSN: 0024-3795), 2009, Volume 431, Issues 3-4, pp. 300-317, doi:10.1016/j.laa.2008.12.036: pdf. (Revised version of preprint 18.)

20. M.A. Botchev, J.G. Verwer,

Numerical integration of damped Maxwell equations, SIAM J. Sci. Comput. (ISSN 1064-8275 (print), 1095-7197 (electronic)), 2009, vol. 31(2), pp. 1322-1346, doi:10.1137/08072108X: pdf. (Revised version of preprint 17.)

19. D. Harutyunyan, F. Izsák, J.J.W. van der Vegt, M.A. Botchev,

Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates, "Computer Methods in Applied Mechanics and Engineering" (ISSN 0045-7825), 2008, vol. 197, nos. 17-18, pp. 1620-1638, doi:10.1016/j.cma.2007.12.006: pdf, available as University of Twente EPrint EEMCS-12005. (Revised version of preprint 14.)

18. D. Sármány, M. A. Botchev, J.J.W. van der Vegt,

Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations, Journal of Scientific Computing, (ISSN 0885-7474 (Print), 1573-7691 (Online)), 2007, vol. 33, no. 1, pp. 47-74, doi:10.1007/s10915-007-9143-y: pdf-file, available as University of Twente EPrint EEMCS-10903. (Revised version of preprint 16.)

17. M.A. Botchev, I. Faragó, R. Horváth,

Application of operator splitting to the Maxwell equations including a source term, "Applied Numerical Mathematics" (ISSN 0168-9274), 2009, vol. 59(3-4), pp. 522-541, doi:10.1016/j.apnum.2008.03.031: pdf-file. (Revised version of preprint 15.)

16. O.V. Nechaev, E.P. Shurina, M.A. Botchev,

Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation, "Computers and Mathematics with Applications" (ISSN 0898-1221) Vol. 55(10), 2008, pp. 2346-2362, doi:10.1016/j.camwa.2007.11.003: pdf-file, available as University of Twente EPrint EEMCS-12880. (Revised version of preprint 13.)

15. M.A. Botchev, G.H. Golub,

A Class of Nonsymmetric Preconditioners for Saddle Point Problems, SIAM Journal on Matrix Analysis and Applications (ISSN 0895-4798, E-ISSN 1095-7162), Vol. 27 (2006), Number 4, pp. 1125-1149: Abstract, pdf-file, gzipped ps-file. (Initially published as preprint 12.)

14. M.A. Botchev, D. Harutyunyan and J.J.W. van der Vegt,

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations, Journal of Computational Physics (ISSN 0021-9991), Volume 216 (2006), Issue 2, pp. 654-686, doi:10.1016/j.jcp.2006.01.014: Abstract, pdf-file, gzipped ps-file. (Initially published as preprint 11.)

13. M.A. Botchev, I. Faragó, A. Havasi,

Testing weighted splitting schemes on a one-column transport-chemistry model, Int. J. Environment and Pollution, 22 (2004), Nos. 1/2, p. 3-16. ISSN (print) 0957-4352, ISSN (online) 1741-5101, pdf-file 63Kbyte.

12. M.A. Botchev, J.G. Verwer,

A new Approximate Matrix Factorization for implicit time integration in air pollution modeling, J. Comput. Appl. Math., 157 (2003), p. 309-327. ISSN 0377-0427, gzipped ps-file 286Kbyte, pdf-file 428Kbyte.

11. A.J.C. Belien, M.A. Botchev, J.P. Goedbloed, and B. van der Holst, R. Keppens,

FINESSE: axisymmetric MHD equilibria with flow.

Journal of Computational Physics (ISSN 0021-9991) vol. 182(1), 2002, 91-117: gzipped ps-file 1661Kbyte, pdf-file 1872Kbyte.

10. A.J.C. Belien, M.A. Botchev, J.P. Goedbloed, and B. van der Holst, R. Keppens,

New numerical tools to study waves and instabilities of flowing plasmas.

Computer Physics Communications (ISSN 0010-4655) (special issue Proc. CCP2001), vol. 147, 2002, 497-500: gzipped ps-file 173Kbyte, pdf-file 290Kbyte.

9. M.A. Botchev, and H.A. van der Vorst

A parallel nearly implicit time-stepping scheme.

Journal of Computational and Applied Mathematics, Vol. 137, 2001, pp. 229-243. gzipped ps-file 99Kbyte, pdf-file 263Kbyte, free full text from the CWI repository.

8. M.A. Botchev, G.L.G. Sleijpen, and H.A. van der Vorst,

Stability control for approximate implicit time-stepping schemes with minimal residual iterations,

"Applied Numerical Mathematics", 1999, Vol. 31, Issue~3, pp. 239-253, pdf-file 222Kbyte, free full text from the CWI repository.

7. R. Keppens, G. Tóth, M.A. Botchev, and A. van der Ploeg

Implicit and semi-implicit schemes: algorithms. "International Journal for Numerical Methods in Fluids" 30, 335-352, 1999. Gzipped ps-file, 243 Kbyte, free full text from the CWI repository.

6. G. Tóth, R. Keppens, and M.A. Botchev,

Implicit and semi-implicit schemes in the Versatile Advection Code : numerical tests, "Astronomy and Astrophysics", vol. 332, 1998, pp. 1159-1170. Abstract, gzipped ps-file, 223 Kbyte.

5. M.A. Botchev, L.A. Krukier,

Iterative Solution of Strongly Nonsymmetric Systems of Linear Algebraic Equations, Computational Mathematics and Mathematical Physics, Vol. 37, No. 11, 1997, pp. 1241-1251 (translated from "Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki", Vol. 37, No. 11, 1997, pp. 1283-1293).

4. M.A. Botchev, O.V. Morgunova, I.A. Nicolayev,

Parallel SIMD-implementation of Explicit Iterative Methods for nCUBE2: Model Problem, Mathematical Modeling, Vol. 9, No. 2, 1997, pp. 91-94 (In Russian.)

3. M.A. Botchev, L.A. Krukier,

Alternately Triangular Skew-Symmetric Method for Solving Linear Systems with Nonsymmetric Definite Matrix, Mathematical Modeling, Vol. 9, No. 1, 1997, pp. 55-68. (In Russian.)

2. M.A. Botchev, K.A. Nadolin, and I.A. Nicolayev

Modelling Substance Spreading in 2D Steady Free-Surfaced Stream

Mathematical Modelling, 8 (1) (1996) pp. 11-24 (in Russian)

1. M.A. Botchev,

On Stability of Non-Selfadjoint Difference Schemes Containing $M$-matrices for Evolutionary Boundary-Value Problem with Elliptic Spatial Operator., Russian Mathematics, Vol. 39, No. 9, 1995, pp. 13-20 (translated from Izvestiya VUZov, Mathematics. No. 9 (400), 1995, pp. 15-22). (Russian Mathematics page)

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Refereed conference papers (latest first, inverse numbering)

13. M.A. Botchev,

Exponential Time Integrators for Unsteady Advection–Diffusion Problems on Refined Meshes. In: Garanzha, V.A., Kamenski, L., Si, H. (eds) Numerical Geometry, Grid Generation and Scientific Computing. Lecture Notes in Computational Science and Engineering, vol 143. Springer, Cham, 2021. doi:10.1007/978-3-030-76798-3_25: pdf.

12. M.A. Botchev,

Matrix exponential and Krylov subspaces for fast time domain computations: recent advances. In: Proceedings of the XXI International Workshop on Optical Wave & Waveguide Theory and Numerical Modelling, 19-20 Apr 2013, Enschede, the Netherlands. P20. University of Twente. ISBN 978-90-365-3538-0, EPrint.

11. M.A. Botchev, I. Faragó, A. Havasi,

Testing weighted splitting schemes on a one-column transport-chemistry model, in I. Lirkov, S. Margenov, J. Wasniewski, P. Yalamov eds; Large-Scale Scientific Computing, Lect. Notes Comp. Sci., 2907, Springer Verlag, 2004, ISBN 3-540-21090-3, pp. 295-302. (A shorter version of journal paper 13.)

10. A.J.C. Belien, M.A. Botchev, J.P. Goedbloed, and B. van der Holst,

Influence of poloidal flow on TAE modes. Proceedings of "28th EPS conference on controlled fusion and plasma physics", June 18-22 2001, Funchal, Portugal, Paper P3.041 (2001). (EPS stands for "European Physical Society"), Europhysics Conference Abstracts, Vol. 25A, pp. 1077-1080: pdf-file.

9. P.J.F. Berkvens and M.A. Botchev,

Parallel Processing and Non-Uniform Grids in Global Air Quality Modeling. In: Air Pollution Modelling and Simulation, Proceedings Second Conference on Air Pollution Modelling and Simulation, APMS'01, Champs-sur-Marne, April 9-12, 2001, B. Sportisse (ed.), Springer-Verlag 2002, ISBN 3-540-42515-2, pp. 215-224.

8. M.C. Krol, W. Peters, P.J.F. Berkvens, and M.A. Botchev,

A new algorithm for two-way nesting in global models: principles and applications. In: Air Pollution Modelling and Simulation, Proceedings Second Conference on Air Pollution Modelling and Simulation, APMS'01, Champs-sur-Marne, April 9-12, 2001, B. Sportisse (ed.), Springer-Verlag 2002, ISBN 3-540-42515-2, pp. 225-234.

7. P.J.F.Berkvens, M.A. Botchev, M.C. Krol, W. Peters, and J.G. Verwer

Solving Vertical Transport and Chemistry in Air Pollution Models. Revised version of CWI Report MAS-R0023. August 2000. In: "IMA Volumes in Mathematics and its Applications", Volume 130: Atmospheric Modeling, Editors: D.P. Chock and G.R. Carmichael, Springer 2002, pp. 1-20. gzipped ps-file, pdf-file.

6. P.J.F. Berkvens, M.A. Botchev, and J.G. Verwer

On the Efficient Treatment of Vertical Mixing and Chemistry in Air Pollution Modeling, CD-ROM Proc. of the 16th IMACS World Congress, Laussanne, August 2000.

5. P.J.F. Berkvens, M.A. Botchev, W.M. Lioen, and J.G. Verwer

A Zooming Technique for Wind Transport of Air Pollution, in "Finite Volumes for Complex Applications", R. Vilsmeier, D. Hanel and F. Benkhaldoun, eds. Proceedings of the 2nd International Symposium on Finite Volumes for Complex Applications (Duisburg, Germany, July 19-22, 1999). Hermes Publisher, 1999, pp. 499-506. (An extended version, CWI Report MAS-R9921, includes full description of the positive and mass-conservative mesh refinement algorithm.)

4. M.A. Botchev,

Experiments with MRAI time stepping schemes on a distributed memory parallel environment, Lecture Notes in Computer Science 1401 (Proc. of HPCN'98), P. Sloot, M. Bubak, B. Hertzberger Eds., 1998, pp. 872-874.

3. K.A. Nadolin, M.A. Botchev, I.A. Nicolayev,

Substance Advection by a Steady 2D Stream of the Viscous Fluid in a Lengthy Free-Surfaced Canal, Proc. of 2nd Int. Symposium on Turbulence, Heat and Mass Transfer (Delft, the Netherlands, 1997), K. Hanjalic and T.W.J. Peeters, Eds., Delft University Press, 1997, pp. 409-418 (ISBN 90-407-1465-7).

2. M.A. Botchev, L.A. Krukier,

Alternating Triangular Skew-Symmetric Preconditioning in Numerical Modeling of Moving Fluid Processes with Large Re, In: "Vychislitel'nye Tehnologii", Inst. for Computing Technologies SO RAN, Yu.Shokin Ed., vol. 4, No. 10, 1995, pp. 60-68. ( In Russian.)

1. M.A. Botchev,

On Some Finite Difference Approximations of Convection-Diffusion Boundary-Value Problems, Proc. of 17th Sci. Conference of Young Scientists, Mechanics Institute of Ukranian Academy of Sciences, Kiev, 1992, pp. 28-32. Registered by UkrINTEI, July 7, 1992, No. 1021, uk 92. ( In Russian.)

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4. Jeroen de Cloet, Jasper Marissen, Ties Westendorp,

Preconditioners based on splitting for time domain photonic crystal modeling, BSc thesis, University of Twente, Department of Applied Mathematics, June 22, 2015, pdf.

3. Sjoerd Hack, Abel Hanse, Stephan Höcker,

Krylov subspace methods for time modeling of photonic crystals, BSc thesis, University of Twente, Department of Applied Mathematics, June 17, 2013, pdf.

2. L.A. Krukier, and M.A. Botchev,

On Skew-symmetric Preconditioning for Strongly Non-symmetric Linear Systems

Zeitschrift für angewandte Mathematik und Mechanik (Proceedings of ICIAM-95), 76 (suppl. 3) (1996) pp. 483-484

1. M.A. Botchev,

On Ad-hoc Upwind Implicit Difference Schemes for Parabolic P.D.E. of the Convection-Diffusion Type

Zeitschrift für angewandte Mathematik und Mechanik (Proceedings of ICIAM-95), 76 (suppl. 1) (1996) pp. 361-362

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31. A.M. Katrutsa, M.A. Botchev, G.V. Ovchinnikov, I.V. Oseledets,

How to optimize preconditioners for the conjugate gradient method: a stochastic approach, June 2018 (version 1) and June 2019 (version 2), preprint arXiv:1806.06045.

30. M.A. Botchev,

Some topics in matrix analysis for time integration methods, KIAM Preprint No. 128, Moscow, 2018.

29. G.L. Kooij, M.A. Botchev, E.M.A. Frederix, B.J. Geurts, S. Horn, D. Lohse, E.P. van der Poel, O. Shishkina, R.J.A.M. Stevens, R. Verzicco,

Comparison of computational codes for direct numerical simulations of turbulent Rayleigh-Bénard convection, February 2018, preprint arXiv:1802.09054, published as journal paper 30.

28. G.L. Kooij, M.A. Botchev, B.J. Geurts,

A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations, September 2015, arXiv:1509.04567.

27. M.A. Botchev, I.V. Oseledets, and E.E. Tyrtyshnikov,

Time stepping free numerical solution of linear differential equations: Krylov subspace versus waveform relaxation. October 2013, Memorandum 2017, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850.

26. M.A. Botchev, Volker Grimm and Marlis Hochbruck,

Residual, restarting and Richardson iteration for the matrix exponential. Preprint (2012) Karlsruhe Institute of Technology, IWRMM Preprint No. 12-10: pdf.

25. M.A. Botchev,

A short guide to exponential Krylov subspace time integration for Maxwell's equations. September 2012, Memorandum 1992, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850. Software: expmARPACK.

24. D. Sármány, M.A. Botchev, J.J.W. van der Vegt,

Time-integration methods for finite element discretisations of the second-order Maxwell equation. February 2012, Memorandum 1975, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850.

23. M.A. Botchev,

A block Krylov subspace time-exact solution method for linear ODE systems. January 2012, Memorandum 1973, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850.

22. M.A. Botchev,

Block Krylov subspace exact time integration of linear ODE systems. Part 1: algorithm description. September 2011, arXiv:1109.5100v1 [math.NA].

21. M.A. Botchev,

Residual, restarting and Richardson iteration for the matrix exponential, Memorandum 1928, Department of Applied Mathematics, University of Twente, Enschede, November 2010, ISSN 1874-4850. Revised version, December 2011: arXiv:1112.5670v1 [math.NA].

20. D. Sármány, M.A. Botchev, J.J.W. van der Vegt, and J.G. Verwer

Comparing DG and Nedelec finite element discretisations of the second-order time-domain Maxwell equation. Memorandum 1912, Department of Applied Mathematics, University of Twente, Enschede, December 2009, ISSN 1874-4850: abstract, pdf-file 2.1Mb.

19. M.A. Botchev, G.L.G. Sleijpen, A. Sopaheluwakan,

An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems. Memorandum 1883, Department of Applied Mathematics, University of Twente, Enschede, September 2008, ISSN 1874-4850: abstract, pdf-file 4.9Mb. (Revised version published as journal paper 22.)

18. J.G. Verwer, M.A. Botchev,

Unconditionally stable integration of Maxwell's equations, CWI Report MAS-R0806, September 2008, ISSN 1386-3703. (Revised version published as journal paper 21.)

17. M.A. Botchev, J.G. Verwer,

Numerical integration of damped Maxwell equations, CWI Report MAS-E0804, ISSN 1386-3703: CWI Report MAS-E0804, April 2008, ISSN 1386-3703. abstract, pdf-file. (Revised version published as journal paper 20.)

16. D. Sármány, M. A. Botchev, J.J.W. van der Vegt,

Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisation of the Maxwell eqations, Department of Applied Mathematics Internal Report 1821, January 2007, ISSN 0169-2690, available as University of Twente EPrint EEMCS-9168. (Revised version published as journal paper 18.)

15. M.A. Botchev, I. Faragó, R. Horváth,

Application of the operator splitting to the Maxwell equations with the source term, Department of Applied Mathematics Internal Report 1818, March 2007, ISSN 0169-2690, available as University of Twente EPrint EEMCS-9206. (Revised version published as paper 17.)

14. D. Harutyunyan, F. Izsák, J.J.W. van der Vegt, and M.A. Botchev,

Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates. Department of Applied Mathematics Internal Report 1810, University of Twente, Enschede, September 2006, ISSN 0169-2690, available as University of Twente EPrint EEMCS-8541. Abstract, pdf-file.

13. O.V. Nechaev, E.P. Shurina, M.A. Botchev,

Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation, Department of Applied Mathematics Internal Report 1806, July 2006, ISSN 0169-2690, available as University of Twente EPrint EEMCS-8960. Abstract, pdf-file. (Revised version published as paper 16.)

12. M.A. Botchev, G.H. Golub,

A Class of Nonsymmetric Preconditioners for Saddle Point Problems, Department of Applied Mathematics Internal Report 1786, December 2005, ISSN 0169-2690 (revised version of this report): Abstract, pdf-file, gzipped ps-file. (Published as paper 15.)

11. M.A. Botchev, D. Harutyunyan and J.J.W. van der Vegt,

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations, Department of Applied Mathematics Internal Report 1780, November 2005, ISSN 0169-2690: Abstract, pdf-file, gzipped ps-file. (Published as paper 14.)

10. M.A. Botchev, D. Harutyunyan and J.J.W. van der Vegt,

The Gautschi time stepping scheme for edge finite element discretization of the Maxwell equations, Department of Applied Mathematics Internal Report 1762, May 2005, ISSN 0169-2690: Abstract, pdf-file.

9. M.A. Botchev, G.H. Golub,

A Class of Nonsymmetric Preconditioners for Saddle Point Problems, SCCM Technical Report SCCM-04-14, Stanford University, 2004: pdf-file.

8. M.A. Botchev, J.G. Verwer,

Improving approximate matrix factorizations for implicit time integration in air pollution modelling, CWI Report MAS-R0031: abstract, pdf-file, or compressed ps-file. Revised version: journal paper 12.

7. P.J.F. Berkvens, M.A. Botchev, J.G. Verwer, M.C. Krol, W. Peters,

Solving vertical transport and chemistry in air pollution models, CWI Report MAS-R0023: abstract, pdf-file, or compressed ps-file. Revised version: conference paper 7.

6. P.J.F. Berkvens, M.A. Botchev, W.M. Lioen, and J.G. Verwer,

A Zooming Technique for Wind Transport of Air Pollution, CWI Report MAS-R9921, August 1999. Abstract, pdf-file, 1.3Mbyte or compressed ps-file 1.2Mbyte. (This is an extended version of the Refereed conference proceedings paper.)

5. M.A. Botchev, H.A. van der Vorst,

Approximated implicit time-stepping schemes in a distributed memory parallel environment, Preprint 1054, Dept. Math., University Utrecht, March 1998.

4. M.A. Botchev, G.L.G. Sleijpen, and H.A. van der Vorst,

Low-dimensional Krylov subspace iterations for enhancing stability of time-step integration schemes,

Preprint 1004, Dept. Math., University Utrecht, March 1997.

3. M.A. Botchev,

Solution of Singular Linear System In Modeling Convection-Diffusion of Conservative Admixture. Registered by VINITI, October 13, 1994, No. 2365-V94. ( In Russian.)

2. M.A. Botchev,

On Maximum Principle Fulfillment and Sufficient Stability Condition for Splitting Implicit Difference Schemes with M-Matrices. Registered by VINITI, October 13, 1994, No. 2363-V94. (In Russian.)

1. M.A. Botchev,

Convergence of Peaceman-Rachford's Scheme of ADI Method for Solving Linear Systems with Nonsymmetric M-matrices. Registered by VINITI, October 13, 1994, No. 2364-V94. (In Russian.)

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PhD students

• Davit Harutyunyan, from 2002 till 2006, together with Jaap van der Vegt.
  PhD thesis "Adaptive vector finite element methods for the Maxwell equations", University of Twente, Enschede, May 2007, ISBN 978-90-365-2508-4, available as University of Twente EPrint EEMCS-9859.
• Domokos Sármány, September 2005 till October 2009, together with Jaap van der Vegt.
  PhD thesis "High-Order Finite Element Approximations of the Maxwell Equations", University of Twente, Enschede, February 2010, ISBN 978-90-365-2968-6, available as University of Twente EPrint EEMCS-17496.
• Gijs Kooij, September 2013 till November 2017, together with Bernard Geurts.
  PhD thesis "Towards parallel-in-time simulations of turbulent Rayleigh-Bénard convection", University of Twente, Enschede, November 2017, ISBN 978-90-365-4403-0.

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A short scientific CV

I am a Senior Researcher at the Keldysh Institute of Applied Mathematics.

Since August 2001 till July 2017 I was an Assistant Professor (Universitair Docent) of the Applied Mathematics Department of the University of Twente, working at the chair MaCS (Mathematics of Computational Science) headed by Prof. Jaap van der Vegt.

Since January 2001 till August 2001 I was a postdoc in the group "Numerical Plasma Dynamics" headed by Prof. Rony Keppens and Prof. Hans Goedbloed at the FOM Institute for Plasma Physics.

Since June 1998 till January 2001 I worked as a postdoc in the NWO project "Advanced Numerical Simulation for Photochemical Dispersion Models"; I worked in the group of Prof. Jan Verwer, CWI.

Since June 1996 till June 1998 I was a postdoc for the NWO project "Massively Parallel Programming, Computational Magneto-Fluid Dynamics", working within the group of Prof. Henk van der Vorst, the Numerical Analysis and Computational Science group at the faculty of Mathematics and Computer Science, Utrecht University.

Before this, after finishing my PhD (December 1995) under supervision of Prof. Igor A. Nicolayev and Prof. Lev A. Krukier, I was Research Fellow at the Computer Center and part-time Assistant Professor at the Department of Informatics and Computational Experiment, Rostov State University.

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Teaching Experience

During my work at the University of Twente, the Netherlands, I had to teach many different courses including all-Dutch MSc MasterMath course on Numerical Linear Algebra (since 2005 till 2007, together with Jan H. Brandts) and (since 2007 till 2017) a MSc Scientific Computing course of the 3TU federation. The course was set up to match similar courses in TUDelft and TU/Eindhoven, taught back then by Kees Vuik and Jos Maubach, respectively.

A number of visiting minicourses on Scientific Computing, Numerical Linear Algebra and related topics were taught by me at the Southern Federal University (July 2014, within the Tempus-Icarus project), the ROMOS school (August-September 2014 and 2016, Rome Tor Vergata and Moscow Lomonosov State University) and the Northern (Arctic) Federal University (September 2015, Arkhangelsk).

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Get in touch

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Other links

• Soviet soldiers buried in Amersfoort: koi, win, dos, pdf.
• A small workshop held in the University of Twente as a part of a Dutch-Russian joint research project on numerical solution of the Maxwell equations funded by the Netherlands Organization for Scientific Research (NWO) and Russian Foundation for Basic Research (RFBR).
• My alma mater, Rostov State University (Rostov-on-Don, Russia):
  • Mechanics and Mathematics Faculty
  • Computer Center
• On the history of the Multigrid method creation by R.P. Fedorenko (2001).
• Historical information on A.N. Krylov, the inventor of the Krylov subspace.

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DISCLAIMER

V.V.Zaytsev is acknowledged here for