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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
A. I. Tolstykh, D. A. Shirobokov, “On Tollmien – Schlichting instability in numerical solutions of the Navier – Stokes equations obtained with 16th-order multioperators-based scheme”, Computer Research and Modeling, 14:4 (2022), 953–967 |
2. |
M. V. Lipavskii, A. I. Tolstykh, D. A. Shirobokov, “Parallel implementation of the 16th-order multioperator scheme: application to problems of instability of vortices and boundary layers”, Matem. Mod., 34:8 (2022), 3–18 ; Math. Models Comput. Simul., 15:2 (2023), 167–176 |
3. |
A. I. Tolstykh, D. A. Shirobokov, “Excitation and development of instability in a compressible boundary layer as obtained in high-order accurate numerical simulation without introducing artificial perturbations”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022), 1209–1223 ; Comput. Math. Math. Phys., 62:7 (2022), 1180–1192 |
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4. |
D. A. Shirobokov, “Third-order accurate conservative method on a unstructured mesh for gasdynamic simulations”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 175–192 ; Comput. Math. Math. Phys., 62:1 (2022), 165–181 |
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2017 |
5. |
D. A. Shirobokov, “Third-order accurate conservative method on unstructured meshes for gasdynamic simulations”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 662–681 ; Comput. Math. Math. Phys., 57:4 (2017), 661–679 |
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2011 |
6. |
D. A. Shirobokov, “Third-order accurate finite-volume method on a triangular grid”, Zh. Vychisl. Mat. Mat. Fiz., 51:10 (2011), 1918–1930 ; Comput. Math. Math. Phys., 51:10 (2011), 1805–1816 |
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2009 |
7. |
A. D. Savel'ev, A. I. Tolstykh, D. A. Shirobokov, “Application of compact and multioperator schemes to the numerical simulation of acoustic fields generated by instability waves in supersonic jets”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1280–1294 ; Comput. Math. Math. Phys., 49:7 (2009), 1221–1234 |
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2006 |
8. |
D. A. Shirobokov, “On the construction of second-to-fourth-order accurate approximations of spatial derivatives on an arbitrary set of points”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1074–1095 ; Comput. Math. Math. Phys., 46:6 (2006), 1023–1043 |
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2005 |
9. |
A. I. Tolstykh, D. A. Shirobokov, “Meshless method based on radial basis functions”, Zh. Vychisl. Mat. Mat. Fiz., 45:8 (2005), 1498–1505 ; Comput. Math. Math. Phys., 45:8 (2005), 1447–1454 |
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2001 |
10. |
A. L. Stasenko, V. A. Tolstykh, D. A. Shirobokov, “The icing process of an aircraft: drop dynamics and wetted surface”, Matem. Mod., 13:6 (2001), 81–86 |
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1996 |
11. |
A. I. Tolstykh, D. A. Shirobokov, “Difference schemes with fifth-order compact approximations for three-dimensional viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996), 71–85 ; Comput. Math. Math. Phys., 36:4 (1996), 477–489 |
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