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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
P. A. Bakhvalov, M. D. Surnachev, “On stability and accuracy of finite-volume schemes on non-uniform meshes”, Keldysh Institute preprints, 2024, 004, 39 pp. |
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2022 |
2. |
P. A. Bakhvalov, “On evaluation of the solution of Gaussian impulse propagation”, Keldysh Institute preprints, 2022, 075, 44 pp. |
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2021 |
3. |
P. A. Bakhvalov, “On the use of a cell-centered finite-volume scheme on prismatic meshes in boundary layers”, Keldysh Institute preprints, 2021, 013, 44 pp. |
4. |
P. A. Bakhvalov, “Accuracy analysis and improvement for the cell-centered scheme with the quasi-one-dimensional reconstriction”, Keldysh Institute preprints, 2021, 009, 32 pp. |
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5. |
P. A. Bakhvalov, M. D. Surnachev, “On analytical families of matrices generating bounded semigroups”, Sib. Zh. Vychisl. Mat., 24:1 (2021), 3–16 ; Num. Anal. Appl., 14:1 (2021), 1–12 |
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2020 |
6. |
P. A. Bakhvalov, “Method of local element splittings for diffusion terms discretization in edge-bases schemes”, Keldysh Institute preprints, 2020, 079, 43 pp. |
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7. |
P. A. Bakhvalov, “Evaluation of the solution of the Gaussian impulse diffraction inside a sector with the angle $2\pi/n$ using its integral representation”, Keldysh Institute preprints, 2020, 015, 23 pp. |
8. |
P. A. Bakhvalov, “Evaluation of the solutions of Gaussian impulse propagation and diffraction on a corner $2\pi/n$”, Keldysh Institute preprints, 2020, 003, 36 pp. |
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9. |
P. A. Bakhvalov, T. K. Kozubskaya, “On using artificial viscosity in edge-based schemes on unstructured meshes”, Matem. Mod., 32:12 (2020), 114–128 ; Math. Models Comput. Simul., 13:4 (2021), 705–715 |
10. |
I. V. Abalakin, P. A. Bakhvalov, V. G. Bobkov, A. V. Gorobets, “Parallel algorithm for flow simulation in rotor-stator systems based on edge-bases schemes”, Matem. Mod., 32:6 (2020), 127–140 ; Math. Models Comput. Simul., 13:1 (2021), 172–180 |
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2019 |
11. |
P. A. Bakhvalov, A. P. Duben, T. K. Kozubskaya, P. V. Rodionov, “EBR schemes with curvilinear reconstructions for solving two-dimensional external flow problems”, Keldysh Institute preprints, 2019, 152, 22 pp. |
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12. |
P. A. Bakhvalov, M. D. Surnachev, “Linear schemes with several degrees of freedom for the multidimensional transport equation”, Keldysh Institute preprints, 2019, 074, 44 pp. |
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13. |
P. A. Bakhvalov, M. D. Surnachev, “Linear schemes with several degrees of freedom for the 1D transport equation”, Keldysh Institute preprints, 2019, 073, 40 pp. |
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14. |
P. A. Bakhvalov, M. D. Surnachev, “On transformation of the stable matrices to a block-diagonal form”, Keldysh Institute preprints, 2019, 071, 15 pp. |
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15. |
P. A. Bakhvalov, M. D. Surnachev, “On spectral analysis of numerical schemes for the linear transport equation”, Keldysh Institute preprints, 2019, 070, 28 pp. |
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16. |
P. A. Bakhvalov, “On gradient calculation in flux correction method”, Matem. Mod., 31:5 (2019), 121–144 ; Math. Models Comput. Simul., 12:1 (2020), 12–26 |
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2018 |
17. |
P. A. Bakhvalov, A. V. Gorobets, “On effective parallel implementation of vertex-centered schemes on sliding meshes”, Keldysh Institute preprints, 2018, 277, 16 pp. |
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18. |
P. A. Bakhvalov, V. A. Vershkov, “Edge-based schemes on moving hybrid meshes in the NOISEtte code”, Keldysh Institute preprints, 2018, 127, 36 pp. |
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19. |
P. A. Bakhvalov, “Flow simulation in rotor–stator systems with axisymmetric stator using edge-based schemes”, Keldysh Institute preprints, 2018, 124, 16 pp. |
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20. |
P. A. Bakhvalov, “Unsteady corrector method for accuracy analysis of linear semidiscrete schemes”, Keldysh Institute preprints, 2018, 123, 38 pp. |
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21. |
I. V. Abalakin, P. A. Bahvalov, O. A. Doronina, N. S. Zhdanova, T. K. Kozubskaya, “Simulation of aerodynamics of a moving body prescribed by immersed boundaries on dynamically adaptative unstructured mesh”, Matem. Mod., 30:5 (2018), 57–75 ; Math. Models Comput. Simul., 11:1 (2019), 35–45 |
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2017 |
22. |
P. A. Bakhvalov, T. K. Kozubskaya, “Edge-based approximation of the Navier–Stokes equations for axial symmetric flows on unstructured meshes”, Keldysh Institute preprints, 2017, 144, 24 pp. |
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23. |
P. A. Bakhvalov, “Sound wave in an infinite circular cylinder in the presence of viscosity and heat conductivity”, Keldysh Institute preprints, 2017, 135, 32 pp. |
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24. |
P. A. Bakhvalov, “On the long-time simulation accuracy of the discontinuous Galerkin method for 1D transport equation”, Keldysh Institute preprints, 2017, 134, 24 pp. |
25. |
P. A. Bakhvalov, “On the order of accuracy of edge-based schemes on meshes of a special type”, Keldysh Institute preprints, 2017, 079, 32 pp. |
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26. |
P. A. Bakhvalov, “Implementation of the Flux Correction method on hybrid unstructured meshes”, Keldysh Institute preprints, 2017, 038, 28 pp. |
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27. |
P. A. Bakhvalov, T. K. Kozubskaya, “EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes”, Keldysh Institute preprints, 2017, 023, 32 pp. |
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28. |
P. A. Bakhvalov, V. G. Bobkov, T. K. Kozubskaya, “Technology of prediction acoustic disturbances in flow far field in rotating framework”, Matem. Mod., 29:7 (2017), 94–108 ; Math. Models Comput. Simul., 9:6 (2017), 716–726 |
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29. |
P. A. Bakhvalov, T. K. Kozubskaya, “Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 682–701 ; Comput. Math. Math. Phys., 57:4 (2017), 680–697 |
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2016 |
30. |
P. A. Bakhvalov, “Unsteady corrector method for accuracy analysis of linear numerical schemes for transport equation”, Keldysh Institute preprints, 2016, 140, 32 pp. |
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31. |
P. A. Bakhvalov, “Unsteady geometric corrector and the error estimate of finite volume method on unstructured meshes”, Keldysh Institute preprints, 2016, 122, 28 pp. |
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32. |
P. A. Bakhvalov, “Numerical estimation of accuracy order for transport equation on meshes of special structure”, Keldysh Institute preprints, 2016, 105, 32 pp. |
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33. |
P. A. Bakhvalov, “Specification of a wave packet using initial data in a round cylindric channel for linear acoustic problems”, Keldysh Institute preprints, 2016, 079, 23 pp. |
34. |
P. A. Bakhvalov, V. G. Bobkov, T. K. Kozubskaya, “Application of the quasi one-dimensional reconstruction scheme to sliding meshes”, Matem. Mod., 28:8 (2016), 13–32 ; Math. Models Comput. Simul., 9:2 (2017), 155–168 |
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35. |
P. A. Bakhvalov, T. K. Kozubskaya, “Cell-centered quasi one-dimensional reconstruction scheme on 3D hybrid meshes”, Matem. Mod., 28:3 (2016), 79–95 ; Math. Models Comput. Simul., 8:6 (2016), 625–637 |
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2015 |
36. |
P. A. Bakhvalov, T. K. Kozubskaya, “Modification of Flux Corrector method for accuracy improvement on unsteady problems”, Keldysh Institute preprints, 2015, 069, 22 pp. |
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37. |
I. V. Abalakin, P. A. Bahvalov, V. G. Bobkov, T. K. Kozubskaya, V. A. Anikin, “Numerical simulation of aerodynamic and acoustic characteristics of rotor in ring”, Matem. Mod., 27:10 (2015), 125–144 ; Math. Models Comput. Simul., 8:3 (2016), 309–324 |
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2014 |
38. |
P. A. Bakhvalov, T. K. Kozubskaya, “Error structure of conservative 4-point finite-difference scheme on non-uniform meshes”, Keldysh Institute preprints, 2014, 074, 32 pp. |
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2013 |
39. |
P. A. Bakhvalov, T. K. Kozubskaya, “Efficient formulation for schemes with quasi-one-dimensional reconstruction of variables”, Keldysh Institute preprints, 2013, 089, 16 pp. |
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40. |
P. A. Bakhvalov, “Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems”, Matem. Mod., 25:9 (2013), 95–108 ; Math. Models Comput. Simul., 6:2 (2014), 192–202 |
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2012 |
41. |
I. V. Abalakin, P. A. Bakhvalov, A. V. Gorobets, A. P. Duben, T. K. Kozubskaya, “Parallel research code NOISEtte for large-scale CFD and CAA simulations”, Num. Meth. Prog., 13:3 (2012), 110–125 |
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2011 |
42. |
P. A. Bakhvalov, T. K. Kozubskaya, E. D. Kornilina, A. V. Morozov, M. V. Jakobovskii, “Technology of predicting acoustic disturbances in flow far field”, Matem. Mod., 23:11 (2011), 33–47 ; Math. Models Comput. Simul., 4:3 (2012), 363–373 |
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