Murtazo Nazarov

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Publications

Preprints and in preparation

1. Muhamadiev E.M, Nazarov M. On almost periodic solutions of the Poisson's equation.
   (2017); submitted

2. Guermond J.-L., Nazarov M., Popov B. Convergence of an invariant domain preserving scheme.
   (2017); to be submitted.

   Journal Papers

3. Muhamadiev E. and Nazarov M. Regularity of almost periodic solutions of Poisson's equation.
   (2020); Ufa Mathematical Journal. accepted [  PDF ]

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

5. 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  | bib  | URL  | PDF  | Suplementary materials ]

6. 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  | bib  | URL  | PDF ]

7. 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  | bib  | URL  | PDF ]

8. 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  | bib  | URL  | PDF ]

9. 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  | bib  | URL  | PDF ]

10. 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  | bib  | PDF ]

11. 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  | bib  | PDF ]

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

13. 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  | bib  | PDF ]

14. 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  | bib  | PDF ]

15. 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  | bib  | PDF ]

16. 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. [ bib ]

17. 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  | bib  | PDF ]

18. 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  | bib  | PDF ]

    Technical reports

19. 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). [ bib ]

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

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

    Thesis and dissertations

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

23. 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  | bib  | PDF ]

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

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

    Conference proceedings

26. 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 [ bib ]

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

28. 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 [ bib ]

29. 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 [ bib ]

30. 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 [ bib ]

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

32. 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. [ bib ]

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

    Popular science presentations

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