Liu, Shiwei; Yuan, Li A modified a posteriori subcell limiter for high order flux reconstruction scheme for one-dimensional detonation simulation. (English) Zbl 07751612 J. Sci. Comput. 97, No. 2, Paper No. 31, 30 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Yuan}, J. Sci. Comput. 97, No. 2, Paper No. 31, 30 p. (2023; Zbl 07751612) Full Text: DOI
Shah, Abdullah; Sohaib, Muhammad; Yuan, Li A numerical method for two-phase flow with its application to the Kelvin-Helmholtz instability problem. (English) Zbl 07733012 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107334, 16 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{A. Shah} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107334, 16 p. (2023; Zbl 07733012) Full Text: DOI
Zhao, Kunlei; Du, Yulong; Yuan, Li A new sixth-order WENO scheme for solving hyperbolic conservation laws. (English) Zbl 1524.65442 Commun. Appl. Math. Comput. 5, No. 1, 3-30 (2023). MSC: 65M06 35L65 76M20 65L06 35B38 35F05 PDFBibTeX XMLCite \textit{K. Zhao} et al., Commun. Appl. Math. Comput. 5, No. 1, 3--30 (2023; Zbl 1524.65442) Full Text: DOI
Du, Yulong; Xu, Kaiwen; Zhao, Kunlei; Yuan, Li A parallel DGM solver for the Euler equations on unstructured tetrahedral grids based on the toolbox PHG. (Chinese. English summary) Zbl 1488.65416 J. Numer. Methods Comput. Appl. 42, No. 2, 155-168 (2021). MSC: 65M60 65Y05 76M10 35L65 35Q31 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Numer. Methods Comput. Appl. 42, No. 2, 155--168 (2021; Zbl 1488.65416) Full Text: DOI
Yuan, Li; Li, Ping Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian. (English) Zbl 1479.35279 Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4109-4125 (2021). MSC: 35J10 35Q55 35R11 35B53 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{P. Li}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4109--4125 (2021; Zbl 1479.35279) Full Text: DOI
Mohanty, Ranjan Kumar; Yuan, Li; Sharma, Divya A new compact scheme in exponential form for two-dimensional time-dependent Burgers’ and Navier-Stokes equations. (English) Zbl 1468.65103 East Asian J. Appl. Math. 10, No. 3, 437-454 (2020). MSC: 65M06 65M15 76D05 35Q35 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., East Asian J. Appl. Math. 10, No. 3, 437--454 (2020; Zbl 1468.65103) Full Text: DOI
Wang, Yahui; Du, Yulong; Zhao, Kunlei; Yuan, Li A new 6th-order WENO scheme with modified stencils. (English) Zbl 1502.65077 Comput. Fluids 208, Article ID 104625, 16 p. (2020). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Fluids 208, Article ID 104625, 16 p. (2020; Zbl 1502.65077) Full Text: DOI
Hu, Lijun; Zhai, Jian; Yuan, Li A two-dimensional flux splitting scheme for compressible flows. (Chinese. English summary) Zbl 1463.65265 Chin. J. Comput. Mech. 37, No. 2, 247-253 (2020). MSC: 65M08 76M12 65D12 35Q31 76N10 PDFBibTeX XMLCite \textit{L. Hu} et al., Chin. J. Comput. Mech. 37, No. 2, 247--253 (2020; Zbl 1463.65265) Full Text: DOI
Wang, Yahui; Du, Yulong; Zhao, Kunlei; Yuan, Li Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes. (English) Zbl 1427.65192 J. Sci. Comput. 81, No. 2, 898-922 (2019). MSC: 65M06 65M12 76L05 41A10 35L65 35Q31 35B38 65L06 76T99 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 81, No. 2, 898--922 (2019; Zbl 1427.65192) Full Text: DOI
Qian, Shouguo; Liu, Yu; Li, Gang; Yuan, Li High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields. (English) Zbl 1427.76141 Appl. Math. Comput. 329, 23-37 (2018). MSC: 76M10 65M60 76N15 35Q31 83C55 85A30 PDFBibTeX XMLCite \textit{S. Qian} et al., Appl. Math. Comput. 329, 23--37 (2018; Zbl 1427.76141) Full Text: DOI
Shah, Abdullah; Yuan, Li; Islam, Shamsul Numerical solution of unsteady Navier-Stokes equations on curvilinear meshes. (English) Zbl 1247.76057 Comput. Math. Appl. 63, No. 11, 1548-1556 (2012). MSC: 76M20 76D05 35Q30 65M06 PDFBibTeX XMLCite \textit{A. Shah} et al., Comput. Math. Appl. 63, No. 11, 1548--1556 (2012; Zbl 1247.76057) Full Text: DOI
Rashid, Abdur; Yuan, Li Convergence analysis of pseudospectral method with restraint operator for fluid flow with low Mach number. (English) Zbl 1209.76023 Appl. Comput. Math. 2, No. 2, 135-142 (2003). MSC: 76M22 65M70 35Q35 76N15 PDFBibTeX XMLCite \textit{A. Rashid} and \textit{L. Yuan}, Appl. Comput. Math. 2, No. 2, 135--142 (2003; Zbl 1209.76023)
Yuan, Li; Wei, Wei; Ho, Cunyan; Chu, Mingchung; Leung, Puitang The real-gas effect in single-bubble sonoluminescence. (English) Zbl 0935.35125 Commun. Nonlinear Sci. Numer. Simul. 4, No. 1, 29-34 (1999). MSC: 35Q35 76Q05 78A40 PDFBibTeX XMLCite \textit{L. Yuan} et al., Commun. Nonlinear Sci. Numer. Simul. 4, No. 1, 29--34 (1999; Zbl 0935.35125) Full Text: DOI