Все выпуски

Список литературы:

1. Н. С. Бахвалов, Н. П. Жидков, Г. М. Кобельков. Численные методы. — М: Бином; Лаборатория знаний, 2003. — 636 с.
   • N. S. Bahvalov, N. P. Zhidkov, G. M. Kobel’kov. Numerical methods. — M: Binom; Laboratorija znanij, 2003.
2. Л. А. Васильев. Теневые методы. — М: Наука, 1968.
   • L. A. Vasil’ev. Shadow graph methods. — M: Nauka, 1968.
3. В. Ю. Глотов. Математическая модель свободной турбулентности на основе принципа максимума. — М: ИБРАЭ РАН, 2014. — Дисс. к. ф.-м. н.
   • V. Ju. Glotov. Mathemarical model of free turbulence based on the maximum principle. — M: IBRAJe RAN, 2014. — Diss. k. f.-m. n.
4. Н. M. Евстигнеев. О построении и свойствах WENO-схем пятого, седьмого, девятого, одиннадцатого и тринадцатого порядков. Часть 1. Построение и устойчивость // Компьютерные исследования и моделирование. — 2016. — Т. 8, № 5. — С. 721–753. — DOI: 10.20537/2076-7633-2016-8-5-721-753
   • N. M. Evstigneev. On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability // Computer research and modeling. — 2016. — V. 8, no. 5. — P. 721–753. — in Russian. — DOI: 10.20537/2076-7633-2016-8-5-721-753
5. А. Г. Куликовский, Н. В. Погорелов, А. Ю. Семенов. Математические вопросы численного решения гиперболических систем уравнений. — М: Физматлит, 2001. — 608 с.
   • A. G. Kulikovskij, N. V. Pogorelov, A. Ju. Semenov. Mathematical problems of numerical solutions for hyperbolic systems of equations. — M: Fizmatlit, 2001. — 608 p. — MathSciNet: MR1915786.
6. N. M. Evstigneev, N. A. Magnitskii. FSM Scenarios of Laminar-Turbulent Transition in Incompressible Fluids / Nonlinearity, Bifurcation and Chaos — Theory and Applications. — Chapter 10. — INTECH, 2013. — P. 250–280.
7. D. Fauconnier, Dick. E. . Spectral analysis of nonlinear finite difference discretizations // Journal of Computational and Applied Mathematics. — 2013. — no. 246. — P. 113–121. — DOI: 10.1016/j.cam.2012.11.004. — MathSciNet: MR3018100. — zbMATH: Zbl 1262.65099.
8. G. S. Jiang, C. W. Shu. Efficient implementation of weighted ENO schemes // J. Comput. Phys. — 1996. — no. 126 (1). — P. 202–228. — DOI: 10.1006/jcph.1996.0130. — MathSciNet: MR1391627. — zbMATH: Zbl 0877.65065.
9. F. Kemm. On the Proper Setup of the Double Mach Reflection as a Test Case for the Resolution of Gas Dynamics Codes / ArXiv e-prints 1404.6510, Physics — Computational Physics. — 2014. — 76J20, 76L05, 76M99. — MathSciNet: MR3489001.
10. B. P. Leonard. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection // Computer Methods in Applied Mechanics and Engineering. — 1991. — no. 88. — P. 17–74. — DOI: 10.1016/0045-7825(91)90232-U. — zbMATH: Zbl 0746.76067.
11. R. Liska, B. Wendroff. Comparison Of Several Difference Schemes On 1d And 2d Test Problems For The Euler Equations // SIAM J. Sci. Comput. — 2003. — V. 25, no. 3. — P. 995–1017. — DOI: 10.1137/S1064827502402120. — MathSciNet: MR2046122. — zbMATH: Zbl 1096.65089.
12. C. B. Macdonald, M. Mohammad, S. J. Ruuth. On the Linear Stability of the Fifth-Order WENO Discretization // Journal of Scientific Computing. — 2011. — V. 47, no. 2. — P. 127–149. — DOI: 10.1007/s10915-010-9423-9. — MathSciNet: MR2787571. — zbMATH: Zbl 1217.65180.
13. M. P. Martin, E. M. Taylor, M. Wu, V. G. Weirs. A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence // Journal of Computational Physics. — 2006. — no. 220. — P. 270–289. — DOI: 10.1016/j.jcp.2006.05.009. — zbMATH: Zbl 1103.76028.
14. S. Pirozzoli. On the spectral properties of shock-capturing schemes // Journal of Computational Physics. — 2006. — no. 219. — P. 489–497. — DOI: 10.1016/j.jcp.2006.07.009. — zbMATH: Zbl 1103.76040.
15. J. J. Quirk, S. Karni. On the dynamics of a shock-bubble interaction // ICASE NASA Report. — 94-75 194978.
16. A. L. Scandaliato, M.-S. Liou. AUSM-Based High-Order Solution for Euler Equations / 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. — AIAA 2010- 719. — 4–7 January 2010, Orlando, Florida.
17. C. W. Shu, S. O. Sher. Efficient implementation of essentially non-oscillatory shock-capturing schemes, part 2 // Journal of Computational Physics. — 1989. — no. 83. — P. 32–78. — DOI: 10.1016/0021-9991(89)90222-2. — MathSciNet: MR1010162. — zbMATH: Zbl 0674.65061.
18. G. A. Sod. Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws // J. Comput. Phys. — 1978. — no. 27. — P. 1–31. — DOI: 10.1016/0021-9991(78)90023-2. — MathSciNet: MR0495002. — zbMATH: Zbl 0387.76063.
19. E. F. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics. — Springer-Verlag, 1999. — 686 p. — MathSciNet: MR1717819. — zbMATH: Zbl 0923.76004.
20. B. Van Leer. Towards the ultimate conservative difference scheme III. Upstream-centered finitedifference schemes for ideal compressible flow // J. Comp. Phys. — 1977. — no. 23 (3). — P. 263–275. — MathSciNet: MR1486274. — zbMATH: Zbl 0339.76039.
21. R. Wang, R. J. Spiteri. Linear instability of the fifth-order WENO method // SIAM J. Numer. Anal. — 2007. — no. 5 (5). — P. 1871–1901. — DOI: 10.1137/050637868. — MathSciNet: MR2346363. — zbMATH: Zbl 1158.65065.
22. P. Woodward, P. Colella. The numerical simulation of two-dimensional fluid flow with strong shocks // J. Comput. Phys. — 1984. — no. 54. — P. 115–173. — DOI: 10.1016/0021-9991(84)90142-6. — MathSciNet: MR0748569. — zbMATH: Zbl 0573.76057.
23. S. T. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids // J. Comput. Phys. — 1979. — no. 31. — P. 335–362. — DOI: 10.1016/0021-9991(79)90051-2. — MathSciNet: MR0534786. — zbMATH: Zbl 0416.76002.