Publications

Journal articles, preprints, conference papers, and theses.

For a citation-indexed list of publications, see my Google Scholar profile.

    Journal articles and preprints

  1. Robin Dymér, Ken Mattsson, Murtazo Nazarov. High-Order Structure-Preserving SBP Finite Difference Methods for the Vlasov-Maxwell System on Matrix-Free GPUs.
    (2026); arXiv preprint arXiv:2609.06452 [arXiv  | PDF  |  ]

  2. Murtazo Nazarov, Rafael Rodriguez-Velasco, Ignacio Tomas. A structure-preserving Numerical Method for the Compressible Resistive-Hall-MHD System.
    (2026); arXiv preprint arXiv:2607.14286 [arXiv  | PDF  |  ]

  3. Katharina Kormann, Murtazo Nazarov, Junjie Wen. Positivity-preserving dynamical low-rank methods for the Vlasov equation.
    (2026); arXiv preprint arXiv:2606.31662 [arXiv  | PDF  |  ]

  4. Murtazo Nazarov. High-Order Invariant-Domain Preserving Continuous Finite Elements via Graph-Poisson Convex Limiting.
    (2026); arXiv preprint arXiv:2606.23397 [arXiv  | PDF  |  ]

  5. Matthias Maier, Peter Munch, Murtazo Nazarov. Revisiting the Slip Boundary Condition: Surface Roughness as a Hidden Tuning Parameter.
    (2026); Journal of Mathematical Fluid Mechanics 28 : 30 [DOI  | URL  | arXiv  |  ]

  6. Katharina Kormann, Murtazo Nazarov, Junjie Wen. A structure-preserving finite element framework for the Vlasov–Maxwell system.
    (2025); Computer Methods in Applied Mechanics and Engineering. 446, Part B : 118290 [DOI  | URL  |  ]

  7. Junjie Wen and Murtazo Nazarov. An anisotropic nonlinear stabilization for finite element approximation of Vlasov-Poisson equations.
    (2025); Journal of Computational Physics. 536 : 114079 [DOI  | URL  |  ]

  8. Igor Tominec, Murtazo Nazarov, Elisabeth Larsson. Stability estimates for radial basis function methods applied to linear scalar conservation laws.
    (2025); Applied Mathematics and Computation. 485 : 129020 [DOI  | URL  |  ]

  9. Tuan Anh Dao, Murtazo Nazarov. A nodal based high order nonlinear stabilization for finite element approximation of magnetohydrodynamics.
    (2024); Journal of Computational Physics 512 : 113146 [DOI  | URL  |  ]

  10. Tuan Anh Dao, Lukas Lundgren, Murtazo Nazarov. Viscous regularization of the MHD equations.
    (2024); SIAM Journal on Applied Mathematics. 84 (4): 1439-1459 [DOI  | URL  | PDF  |  ]

  11. Lukas Lundgren, Murtazo Nazarov. A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow.
    (2024); Journal of Computational Physics. 510 : 113086 [DOI  | URL  | PDF  |  ]

  12. Tuan Anh Dao, Murtazo Nazarov, Ignacio Tomas. A structure preserving numerical method for the ideal compressible MHD system.
    (2024); Journal of Computational Physics. 508 : 113009 [DOI  | URL  | PDF  |  ]

  13. Guermond J.-L., Nazarov M., Popov B. Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space.
    (2024); Computer Methods in Applied Mechanics and Engineering 418, Part A : 116470 [DOI  | URL  | PDF  |  ]

  14. Lukas Lundgren, Murtazo Nazarov. A high-order residual-based viscosity finite element method for incompressible variable density flow.
    (2024); Journal of Computational Physics. 497 : 112608 [DOI  | URL  | PDF  |  ]

  15. Lena Leitenmaier, Murtazo Nazarov. A finite element based Heterogeneous Multiscale Method for the Landau-Lifshitz equation.
    (2023); Journal of Computational Physics. 486 : 112112 [DOI  | URL  | PDF  |  ]

  16. Lukas Lundgren, Murtazo Nazarov. A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow.
    (2023); Journal of Computational and Applied Mathematics. 421 : 114846 [DOI  | URL  | PDF  |  ]

  17. Igor Tominec, Murtazo Nazarov. Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws.
    (2023); Journal of Scientific Computing. 94 (1): 714 [DOI  | URL  | PDF  |  ]

  18. Tuan Anh Dao, Murtazo Nazarov. A high-order residual-based viscosity finite element method for the ideal MHD equations.
    (2022); Journal of Scientific Computing. 92 (3): 77 [DOI  | URL  | PDF  |  ]

  19. Tuan Anh Dao, Murtazo Nazarov. Monolithic parabolic regularization of the MHD equations and entropy principles.
    (2022); Computer Methods in Applied Mechanics and Engineering. 398 : 115269 [DOI  | URL  | PDF  |  ]

  20. Thibault Bouderlique, Julian Petersen, Louis Faure, Daniel Abed-Navandi, Anass Bouchnita, Benjamin Mueller, Murtazo Nazarov, Lukas Englmaier, Marketa Tesarova, Pedro R Frade, Tomas Zikmund, Till Koehne, Jozef Kaiser, Kaj Fried, Christian Wild, Olga Pantos, Andreas Hellander, John Bythell, Igor Adameyko. Surface flow for colonial integration in reef-building corals.
    (2022); Current Biology. 32 (12): 2596-2609.e7 [DOI  | URL  | PDF  |  ]

  21. B Weber, G Kreiss, M Nazarov. Stability analysis of high order methods for the wave equation.
    (2022); Journal of Computational and Applied Mathematics. 404 : 113900 [DOI  | URL  | PDF  |  ]

  22. V Stiernström, L Lundgren, M Nazarov, K Mattsson. A residual-based artificial viscosity finite difference method for scalar conservation laws.
    (2021); Journal of Computational Physics. 430 : 110100 [DOI  | URL  | PDF  |  ]

  23. TA Dao, K Mattsson, M Nazarov. Energy stable and accurate coupling of finite element methods and finite difference methods.
    (2021); Journal of Computational Physics. 449 : 110791 [DOI  | URL  | PDF  |  ]

  24. A Bonito and M Nazarov. Numerical Simulations of Surface Quasi-Geostrophic Flows on Periodic Domains.
    (2021); SIAM Journal on Scientific Computing. 43 (2): B405-B430 [DOI  | URL  | PDF  |  ]

  25. Muhamadiev E. and Nazarov M. Regularity of almost periodic solutions of Poisson's equation.
    (2020); Ufa Mathematical Journal. 12 (2): 96-106 [DOI  | URL  | PDF  |  ]

  26. Lu L., Nazarov M., Fischer P. Nonlinear artificial viscosity for spectral element methods.
    (2019); Comptes Rendus Mathematique 357 (7): 646-654 [DOI  | URL  | PDF  |  ]

  27. Guermond J.-L., Nazarov M., Popov B., Tomas I. Second-order invariant domain preserving approximation of the Euler equations using convex limiting.
    (2018); SIAM J. Sci. Computing 40 (5): A3211-A3239 [DOI  | URL  | PDF  |  ]

  28. Nazarov M., Larcher A.. Numerical investigation of a viscous regularization of the Euler equations by Entropy Viscosity.
    (2017); Computer Methods in Applied Mechanics and Engineering 317 : 128-152 [DOI  | URL  | PDF  |  ]

  29. Marras S., Nazarov M., Francis X. Giraldo. Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES.
    (2015); Journal of Computational Physics. 301 : 77-101 [DOI  | URL  |  ]

  30. Buerg M. and Nazarov M. Goal-oriented adaptive finite element methods for elliptic problems revisited.
    (2015); Journal of Computational and Applied Mathematics. 287 : 125-147 [DOI  | URL  | PDF  |  ]

  31. Muhamadiev E.M. and Nazarov M. Optimal bounds for a Lagrange interpolation inequality for piecewise linear continuous finite elements in two space dimensions.
    (2015); Journal of Mathematical Analysis and Applications. 423 (2): 940 - 955 [DOI  | URL  | PDF  |  ]

  32. Guermond J.-L., Nazarov M., Popov B. and Yong Yang. A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations.
    (2014); SIAM Journal of Numerical Analysis. 52 (4): 2163-2182 [DOI  | URL  | PDF  |  ]

  33. Guermond J.-L. and Nazarov M. A maximum-principle preserving $C^0$ finite element method for scalar conservation equations.
    (2014); Computer Methods in Applied Mechanics and Engineering 272 : 198-213 [DOI  | URL  | PDF  |  ]

  34. Nazarov M. Convergence of a residual based artificial viscosity finite element method.
    (2013); Computers & Mathematics with Applications 65 (4): 616-626 [DOI  | URL  | PDF  |  ]

  35. Nazarov M, Hoffman J. Residual based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods.
    (2013); Int. J. Num. Methods Fluids 71 (3): 339-357 [DOI  | URL  | PDF  |  ]

  36. Nazarov M, Hoffman J. On the stability of the dual problem for high reynolds number flow past a circular cylinder in two dimensions.
    (2012); SIAM J. Sci. Comput. 34 (4), A1905-A1924 [DOI  | URL  | PDF  |  ]

  37. Hoffman J, Jansson J, de Abreu RV, Degirmenci C, Jansson N, Muller K, Nazarov M, Spuhler J. Unicorn: parallel adaptive finite element simulation of turbulent flow and fluid-structure interaction for deforming domains and complex geometry.
    (2012); Computers & Fluids, doi:10.1016/j.compfluid.2012.02.003. [DOI  | URL  | PDF  |  ]

  38. Hoffman J, Jansson J, Degirmenci C, Jansson N, Nazarov M. Unicorn: a unified continuum mechanics solver.
    (2011); Automated solution of differential equations by the finite element method (Eds. A.Logg, K-A.Mardal, G.N.Wells), Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 18 [ ]

  39. Jansson N, Hoffman J, Nazarov M. Adaptive simulation of turbulent flow past a full car model.
    (2011); State of the Practice Reports SC'11, ACM: New York, NY, USA, 20:1-20:8 [DOI  | URL  | PDF  |  ]

  40. Nazarov M, Hoffman J. An adaptive finite element method for inviscid compressible flow.
    (2010); Int. J. Numer. Meth. Fluids 64 (10-12): 1102-1128 [DOI  | URL  | PDF  |  ]

    41. Conference proceedings

  41. Akbar Nazimov, Timur Khuseinov, Murtazo Nazarov. On the applicability of fast algorithms for solving systems with "corrupted" circulant, percirculant and neutral type matrices.
    (2023); International Conference in Mathematics Khujand State University, Tajikistan [ ]

  42. Akbar Nazimov, Timur Khuseinov, Murtazo Nazarov. Cantor sets and Cantor functions.
    (2022); International Conference in Modern Problems in Mathematics Academy of Sciences of Tajikistan, Institute of Mathematics, Tajikistan, pp. 141--146 [ ]

  43. Nazarov M. A stabilized finite element method for the Surface-Quasi-Geostrophic equation.
    (2019); Proc. 10th International Scientific-Technical Conference, INFOS-2019 VSTU, Russia. p: 8-11 [ ]

  44. Nazarov M. Smoothing of a nonlinear viscosity.
    (2018); International Conference in Mathematics to honor of Prof. Ilolov M. Tajik State National University, Tajikistan [ ]

  45. Muhamadiev E. and Nazarov M. On almost periodic solutions of the Poisson's equation.
    (2017); International math conference in theory of functions Bashkir State University, Ufa, Russia [ ]

  46. Nazarov M. Convergence of a goal-oriented adaptive algorithm for elliptic problems.
    (2015); International Conference in Mathematics to honor of Prof. Stecenko Tajik State National University, Tajikistan [ ]

  47. Muhamadiev E. and Nazarov M. Notes on the estimation of an interpolation inequality for piecewise linear finite element approximations.
    (2014); International Conference in Mathematics and its Applications Khujand State University, Tajikistan [ ]

  48. Nazarov M. Adaptive DNS/LES for two dimensional supersonic flow around a wedge.
    (2009); Proc. 5th International Scientific-Technical Conference VSTU, Russia [ ]

  49. Nazarov M. About the behavior of solutions of some classes of differential equations in 2d around critical points.
    (2004); International Conference on Mathematics: Actual problems of mathematics and its applications TSU. Khujand, Tajikistan [ ]

  50. Nazarov M. On resolvability of some classes of boundary value problems.
    (2004); International Conference on Applied Mathematics Tajik State National University, Dushanbe, Tajikistan [ ]

    51. Popular science presentations

  51. Nazarov M. Contribution to a special exhibition on computer simulations.
    (2017); Make software, change the world! Computer History Museum, Monterey, California, USA [URL  |  ]

    52. Thesis and dissertations

  52. Nazarov M. Adaptive algorithms and high order stabilization for finite element computation of turbulent compressible flow.
    (2011); PhD thesis KTH, Sweden [URL  | PDF  |  ]

  53. Nazarov M. An adaptive finite element method for the compressible Euler equations.
    (2009); Licenciate thesis, No. 2009:13 in Trita-CSC-A KTH, Sweden [URL  | PDF  |  ]

  54. Nazarov M. Phase-field simulations.
    (2006); Master of Science thesis, Technical Report 2006:12 KTH, Sweden [PDF  |  ]

  55. Nazarov M. The theorem of Beer-Hausdorff and it's applications.
    (2002); Master of Science thesis KhSU, Tajikistan [ ]

    56. Technical reports

  56. Nazarov M, Guermond J.-L., Popov B. A posteriori error estimation for the compressible Euler equations using entropy viscosity.
    (2011); Technical Report 4017 KTH, NA) [ ]

  57. Guermond J.-L., Nazarov M, Popov B. Implementation of the entropy viscosity method.
    (2011); Technical Report 4015 KTH, Numerical Analysis, NA [ ]

  58. Hoffman J., Johnson C. and Nazarov M. Computational Foundation of Thermodynamics.
    (2008); [ ]

BibTeX reference

BibTeX reference