Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Adaptive high-order A-WENO schemes based on a new local smoothness indicator. (English) Zbl 1527.65070 East Asian J. Appl. Math. 13, No. 3, 576-609 (2023). MSC: 65M06 76M20 76N15 76L05 35L65 PDFBibTeX XMLCite \textit{A. Chertock} et al., East Asian J. Appl. Math. 13, No. 3, 576--609 (2023; Zbl 1527.65070) Full Text: DOI arXiv
Lee, Kyungrok; Choi, Jung-Il; Yoon, Jungho Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter. (English) Zbl 07750304 Comput. Math. Appl. 149, 24-37 (2023). MSC: 65M06 35L65 65M12 76M20 76L05 PDFBibTeX XMLCite \textit{K. Lee} et al., Comput. Math. Appl. 149, 24--37 (2023; Zbl 07750304) Full Text: DOI
Tian, Kang-Bo; Don, Wai Sun; Wang, Bao-Shan High order WENO finite difference scheme with adaptive dual order ideal weights for hyperbolic conservation laws. (English) Zbl 07705763 Appl. Numer. Math. 187, 50-70 (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{K.-B. Tian} et al., Appl. Numer. Math. 187, 50--70 (2023; Zbl 07705763) Full Text: DOI
Wang, Yinghua; Don, Wai Sun; Wang, Bao-Shan Fifth order AWENO finite difference scheme with adaptive numerical diffusion for Euler equations. (English) Zbl 1521.76596 Comput. Fluids 251, Article ID 105743, 14 p. (2023). MSC: 76M20 65M06 35Q30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Fluids 251, Article ID 105743, 14 p. (2023; Zbl 1521.76596) Full Text: DOI
Li, Peng; Li, Tingting; Don, Wai-Sun; Wang, Bao-Shan Scale-invariant multi-resolution alternative WENO scheme for the Euler equations. (English) Zbl 1504.65239 J. Sci. Comput. 94, No. 1, Paper No. 15, 32 p. (2023). MSC: 65N06 65L06 35L65 76N10 35Q31 86A05 86A10 PDFBibTeX XMLCite \textit{P. Li} et al., J. Sci. Comput. 94, No. 1, Paper No. 15, 32 p. (2023; Zbl 1504.65239) Full Text: DOI
Wang, Bao-Shan; Don, Wai Sun Affine-invariant WENO weights and operator. (English) Zbl 1502.65090 Appl. Numer. Math. 181, 630-646 (2022). MSC: 65M08 65L06 35L65 65M15 76N10 76N15 76M20 PDFBibTeX XMLCite \textit{B.-S. Wang} and \textit{W. S. Don}, Appl. Numer. Math. 181, 630--646 (2022; Zbl 1502.65090) Full Text: DOI
Fu, Qingcheng; Gao, Zhen; Gu, Yaguang; Li, Peng High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields. (English) Zbl 1494.76058 Appl. Numer. Math. 180, 1-15 (2022). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{Q. Fu} et al., Appl. Numer. Math. 180, 1--15 (2022; Zbl 1494.76058) Full Text: DOI
Rajput, Uttam Singh; Singh, Krishna Mohan A fifth order alternative mapped WENO scheme for nonlinear hyperbolic conservation laws. (English) Zbl 1499.65462 Adv. Appl. Math. Mech. 14, No. 1, 275-298 (2022). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{U. S. Rajput} and \textit{K. M. Singh}, Adv. Appl. Math. Mech. 14, No. 1, 275--298 (2022; Zbl 1499.65462) Full Text: DOI
Zhang, Huaibao; Xu, Chunguang; Dong, Haibo An extended seventh-order compact nonlinear scheme with positivity-preserving property. (English) Zbl 1521.76603 Comput. Fluids 229, Article ID 105085, 17 p. (2021). MSC: 76M20 65M06 76Nxx PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Fluids 229, Article ID 105085, 17 p. (2021; Zbl 1521.76603) Full Text: DOI
Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. (English) Zbl 1457.65063 SIAM J. Sci. Comput. 42, No. 6, A3932-A3956 (2020). MSC: 65M06 76M20 65M08 76M12 76N15 76L05 35L65 35Q31 PDFBibTeX XMLCite \textit{B.-S. Wang} et al., SIAM J. Sci. Comput. 42, No. 6, A3932--A3956 (2020; Zbl 1457.65063) Full Text: DOI
Don, Wai Sun; Li, Dong-Mei; Gao, Zhen; Wang, Bao-Shan A characteristic-wise alternative WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form. (English) Zbl 1448.76130 J. Sci. Comput. 82, No. 2, Paper No. 27, 24 p. (2020). MSC: 76N15 76T30 76M20 76L05 PDFBibTeX XMLCite \textit{W. S. Don} et al., J. Sci. Comput. 82, No. 2, Paper No. 27, 24 p. (2020; Zbl 1448.76130) Full Text: DOI