Zhang, Hao; Dong, Yidao; Zheng, Shichao; Deng, Xiaogang Analysis of discontinuity detectors and hybrid WCNS schemes based on waveform recognition. (English) Zbl 1519.65025 Commun. Comput. Phys. 34, No. 2, 418-455 (2023). MSC: 65M06 65M12 35L65 35L04 PDFBibTeX XMLCite \textit{H. Zhang} et al., Commun. Comput. Phys. 34, No. 2, 418--455 (2023; Zbl 1519.65025) Full Text: DOI
Zhang, Zixuan; Dong, Yidao; Zhang, Huaibao; Zheng, Shichao; Deng, Xiaogang A scale-invariant fifth order WCNS scheme for hyperbolic conservation laws. (English) Zbl 1524.65440 Adv. Appl. Math. Mech. 15, No. 5, 1256-1289 (2023). MSC: 65M06 65N06 35Q31 76L05 65L06 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 5, 1256--1289 (2023; Zbl 1524.65440) Full Text: DOI
Chen, Yaming; Deng, Xiaogang Nonlinear weights for shock capturing schemes with unconditionally optimal high order. (English) Zbl 07660340 J. Comput. Phys. 478, Article ID 111978, 15 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{Y. Chen} and \textit{X. Deng}, J. Comput. Phys. 478, Article ID 111978, 15 p. (2023; Zbl 07660340) Full Text: DOI
Guo, Ningbo; Chen, Yaming; Deng, Xiaogang A lifting method for Fokker-Planck equations with drift-admitting jumps. (English) Zbl 1524.65342 Commun. Math. Res. 38, No. 3, 431-448 (2022). MSC: 65M06 35L65 35L81 35Q84 PDFBibTeX XMLCite \textit{N. Guo} et al., Commun. Math. Res. 38, No. 3, 431--448 (2022; Zbl 1524.65342) Full Text: DOI
Guo, Ningbo; Chen, Yaming; Deng, Xiaogang A lifting method for Krause’s consensus model. (English) Zbl 1513.65287 Commun. Math. Res. 38, No. 1, 52-61 (2022). MSC: 65M06 65N06 35L65 35L81 PDFBibTeX XMLCite \textit{N. Guo} et al., Commun. Math. Res. 38, No. 1, 52--61 (2022; Zbl 1513.65287) Full Text: DOI
Qin, Jiaxian; Chen, Yaming; Deng, Xiaogang On the role of global conservation property for finite difference schemes. (English) Zbl 07512378 J. Comput. Phys. 440, Article ID 110437, 10 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Qin} et al., J. Comput. Phys. 440, Article ID 110437, 10 p. (2021; Zbl 07512378) Full Text: DOI
Lin, Yu; Chen, Yaming; Deng, Xiaogang A fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws. (English) Zbl 1521.76554 Comput. Fluids 221, Article ID 104928, 9 p. (2021). MSC: 76M20 65M06 35Q53 65M70 PDFBibTeX XMLCite \textit{Y. Lin} et al., Comput. Fluids 221, Article ID 104928, 9 p. (2021; Zbl 1521.76554) Full Text: DOI
Deng, Xiaogang; Zhu, Huajun; Min, Yaobing; Liu, Huayong; Mao, Meiliang; Wang, Guangxue High-order finite difference schemes based on symmetric conservative metric method: decomposition, geometric meaning and connection with finite volume schemes. (English) Zbl 1488.65233 Adv. Appl. Math. Mech. 12, No. 2, 436-479 (2020). MSC: 65M06 35L65 65M08 76M12 76M20 PDFBibTeX XMLCite \textit{X. Deng} et al., Adv. Appl. Math. Mech. 12, No. 2, 436--479 (2020; Zbl 1488.65233) Full Text: DOI
Cheng, Bin; Chen, Ya-Ming; Xu, Chuan-Fu; Li, Da-Li; Deng, Xiao-Gang Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method. (English) Zbl 1451.35181 Commun. Theor. Phys. 72, No. 2, Article ID 025001, 6 p. (2020). MSC: 35Q55 81Q05 PDFBibTeX XMLCite \textit{B. Cheng} et al., Commun. Theor. Phys. 72, No. 2, Article ID 025001, 6 p. (2020; Zbl 1451.35181) Full Text: DOI
Zhu, Huajun; Yan, Zhenguo; Liu, Huayong; Mao, Meiliang; Deng, Xiaogang High-order hybrid WCNS-CPR schemes on hybrid meshes with curved edges for conservation laws. I: Spatial accuracy and geometric conservation laws. (English) Zbl 1488.65324 Commun. Comput. Phys. 23, No. 5, 1355-1392 (2018). MSC: 65M06 65M60 65M12 35L65 PDFBibTeX XMLCite \textit{H. Zhu} et al., Commun. Comput. Phys. 23, No. 5, 1355--1392 (2018; Zbl 1488.65324) Full Text: DOI
Yan, Zhen-Guo; Liu, Huayong; Ma, Yankai; Mao, Meiliang; Deng, Xiaogang Further improvement of weighted compact nonlinear scheme using compact nonlinear interpolation. (English) Zbl 1390.76537 Comput. Fluids 156, 135-145 (2017). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{Z.-G. Yan} et al., Comput. Fluids 156, 135--145 (2017; Zbl 1390.76537) Full Text: DOI
Mao, Meiliang; Zhu, Huajun; Deng, Xiaogang; Min, Yaobing; Liu, Huayong Effect of geometric conservation law on improving spatial accuracy for finite difference schemes on two-dimensional nonsmooth grids. (English) Zbl 1388.65062 Commun. Comput. Phys. 18, No. 3, 673-706 (2015). MSC: 65M06 35L04 65M15 PDFBibTeX XMLCite \textit{M. Mao} et al., Commun. Comput. Phys. 18, No. 3, 673--706 (2015; Zbl 1388.65062) Full Text: DOI Link
Deng, Xiaogang; Min, Yaobing; Mao, Meiliang; Liu, Huayong; Tu, Guohua; Zhang, Hanxin Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids. (English) Zbl 1284.65101 J. Comput. Phys. 239, 90-111 (2013). MSC: 65M06 35Q31 PDFBibTeX XMLCite \textit{X. Deng} et al., J. Comput. Phys. 239, 90--111 (2013; Zbl 1284.65101) Full Text: DOI
Zhang, Shu-hai; Deng, Xiao-gang; Mao, Mei-Liang; Shu, Chi-wang Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes. (English) Zbl 1279.65102 Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 449-464 (2013). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{S.-h. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 449--464 (2013; Zbl 1279.65102) Full Text: DOI
Zhang, Laiping; Liu, Wei; He, Lixin; Deng, Xiaogang A class of hybrid DG/FV methods for conservation laws. III: Two-dimensional Euler equations. (English) Zbl 1388.65114 Commun. Comput. Phys. 12, No. 1, 284-314 (2012). MSC: 65M60 65M08 35L05 65M20 35Q31 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Comput. Phys. 12, No. 1, 284--314 (2012; Zbl 1388.65114) Full Text: DOI
Zhang, Laiping; Liu, Wei; He, Lixin; Deng, Xiaogang; Zhang, Hanxin A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases. (English) Zbl 1242.65206 J. Comput. Phys. 231, No. 4, 1104-1120 (2012). MSC: 65M60 65M08 35L65 65M20 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 231, No. 4, 1104--1120 (2012; Zbl 1242.65206) Full Text: DOI
Zhang, Laiping; Liu, Wei; He, Lixin; Deng, Xiaogang; Zhang, Hanxin A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems. (English) Zbl 1242.65205 J. Comput. Phys. 231, No. 4, 1081-1103 (2012). MSC: 65M60 65M08 35L05 65M20 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 231, No. 4, 1081--1103 (2012; Zbl 1242.65205) Full Text: DOI
Deng, Xiaogang; Mao, Meiliang; Tu, Guohua; Liu, Huayong; Zhang, Hanxin Geometric conservation law and applications to high-order finite difference schemes with stationary grids. (English) Zbl 1210.65153 J. Comput. Phys. 230, No. 4, 1100-1115 (2011). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{X. Deng} et al., J. Comput. Phys. 230, No. 4, 1100--1115 (2011; Zbl 1210.65153) Full Text: DOI
Deng, Xiaogang; Maekawa, Hiroshi Compact high-order accurate nonlinear schemes. (English) Zbl 0870.65075 J. Comput. Phys. 130, No. 1, 77-91 (1997). Reviewer: M.Lukáčová (Brno) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{X. Deng} and \textit{H. Maekawa}, J. Comput. Phys. 130, No. 1, 77--91 (1997; Zbl 0870.65075) Full Text: DOI