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On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability
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List of references:
- Численные методы. — М: Бином. Лаборатория знаний, 2003. — 636 с.
- Numerical methods. — M: Binom. Laboratorija znanij, 2003. — in Russian. , , .
, , . - Численное решение многомерных задач газовой динамики. — М: Наука, 1976. — 401 с. — Годунов С. К. (ред).
- Numerical solutions of multidimentional gas dynamics problems. — M: Nauka, 1976. — 401 p. — Godunov S. K. (ed.). — in Russian.
- Справочник по нелинейным дифференциальным уравнениям. — М: ФИЗМАТЛИТ, 2001. — 576 с.
- Spravochnik po nelinejnym differencial’nym uravnenijam. — M: FIZMATLIT, 2001. — in Russian. , .
- Handbook of Nonlinear Partial Differential Equations. — Boca Raton–London–New York: Chapman and Hall/CRC Press, 2012. — 1912 p. — Second Edition, Updated, Revised and Extended. — MathSciNet: MR2865542. , .
, . - О разностных уравнениях математической физики // УМН. — 1941. — № 8. — С. 125–160.
- Tiber die partiellen Differentialgleichungen der mathematischen Physik // Math. Annalen. — 1928. — V. 100. — P. 32–74. — DOI: 10.1007/BF01448839. — MathSciNet: MR1512478. — zbMATH: Zbl 54.0486.01. , , .
, , . - Some results on uniformly high-order accurate essentially nonoscillatory schemes // Applied Numerical Mathematics. — 1986. — V. 2, no. 3– 5. — P. 347–377. — DOI: 10.1016/0168-9274(86)90039-5. — MathSciNet: MR0863993. — zbMATH: Zbl 0627.65101. , , , .
- Efficient implementation of weighted ENO schemes / J. Comput. Phys. — 1996. — V. 126 (1). — P. 202–228. — MathSciNet: MR1391627. , .
- Hybrid WENO schemes with different indicators on curvilinear grids // Advances in Computational Mathematics. — 2010. — V. 40, no. 4. — P. 748–772. — MathSciNet: MR3240212. , .
- 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. , , .
- A Robust Seventh-order WENO Scheme and Its Applications. — 2008. — AIAA-2008- 0757. , .
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws // Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics. — Berlin, Heidelberg: Springer, 1998. — V. 1697. — P. 325–432. — DOI: 10.1007/BFb0096355. — MathSciNet: MR1728856. — zbMATH: Zbl 0927.65111. .
- A new class of optimal high-order strong-stability-preserving time discretization methods // SIAM J. Numer. Anal. — 2002. — V. 40. — P. 469–491. — DOI: 10.1137/S0036142901389025. — MathSciNet: MR1921666. — zbMATH: Zbl 1020.65064. , .
- Riemann Solvers and Numerical Methods for Fluid Dynamics. — Springer-Verlag, 1999. — 686 p. — MathSciNet: MR1717819. — zbMATH: Zbl 0923.76004. .
- Linear instability of the fifth-order WENO method // SIAM J. Numer. Anal. — 2007. — V. 45 (5). — P. 1871–1901. — DOI: 10.1137/050637868. — MathSciNet: MR2346363. — zbMATH: Zbl 1158.65065. , .
- High-Order Energy Stable WENO Schemes. — AIAA-2008-2876, 14th AIAA. — CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference). , .
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