Yang, Jinjin; He, Yinnian Stability and error analysis for the first-order Euler implicit/explicit scheme for the 3D MHD equations. (English) Zbl 1404.76167 Int. J. Comput. Methods 15, No. 1, Article ID 1750077, 46 p. (2018). MSC: 76M10 65M60 76W05 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. He}, Int. J. Comput. Methods 15, No. 1, Article ID 1750077, 46 p. (2018; Zbl 1404.76167) Full Text: DOI OpenURL
He, Yinnian; Su, Jian The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations. (English) Zbl 1368.35158 Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3421-3438 (2017). MSC: 35K51 65N30 76D05 PDF BibTeX XML Cite \textit{Y. He} and \textit{J. Su}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3421--3438 (2017; Zbl 1368.35158) Full Text: DOI OpenURL
Wang, Kun; He, Yinnian; Lin, Yanping Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows. (English) Zbl 1248.35164 Discrete Contin. Dyn. Syst., Ser. B 17, No. 5, 1551-1573 (2012). Reviewer: I. N. Katz (St. Louis) MSC: 35Q35 35A35 35L70 76D05 76A10 65M12 35B40 PDF BibTeX XML Cite \textit{K. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 17, No. 5, 1551--1573 (2012; Zbl 1248.35164) Full Text: DOI OpenURL
Wang, Kun; He, Yinnian; Shang, Yueqiang Fully discrete finite element method for the viscoelastic fluid motion equations. (English) Zbl 1197.35016 Discrete Contin. Dyn. Syst., Ser. B 13, No. 3, 665-684 (2010). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35A35 65M60 76M10 76A10 76D05 35L70 PDF BibTeX XML Cite \textit{K. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 13, No. 3, 665--684 (2010; Zbl 1197.35016) Full Text: DOI OpenURL
He, Yinnian; Li, Jian Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. (English) Zbl 1423.76096 Int. J. Numer. Methods Fluids 62, No. 6, 647-659 (2010). MSC: 76D05 76M25 76M10 PDF BibTeX XML Cite \textit{Y. He} and \textit{J. Li}, Int. J. Numer. Methods Fluids 62, No. 6, 647--659 (2010; Zbl 1423.76096) Full Text: DOI OpenURL
He, Yinnian The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. (English) Zbl 1198.65222 Math. Comput. 77, No. 264, 2097-2124 (2008). MSC: 65N30 35Q30 35L70 76D06 PDF BibTeX XML Cite \textit{Y. He}, Math. Comput. 77, No. 264, 2097--2124 (2008; Zbl 1198.65222) Full Text: DOI OpenURL
He, Guoliang; He, Yinnian; Chen, Zhangxin A penalty finite volume method for the transient Navier-Stokes equations. (English) Zbl 1148.76038 Appl. Numer. Math. 58, No. 11, 1583-1613 (2008). MSC: 76M12 76D05 PDF BibTeX XML Cite \textit{G. He} et al., Appl. Numer. Math. 58, No. 11, 1583--1613 (2008; Zbl 1148.76038) Full Text: DOI OpenURL
He, Yinnian; Li, Yi Asymptotic behavior of linearized viscoelastic flow problem. (English) Zbl 1156.35328 Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 843-856 (2008). MSC: 35B40 76D05 76A10 45K05 PDF BibTeX XML Cite \textit{Y. He} and \textit{Y. Li}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 843--856 (2008; Zbl 1156.35328) Full Text: DOI OpenURL
He, Yinnian Stability and error analysis for spectral Galerkin method for the Navier-Stokes equations with \(L^2\) initial data. (English) Zbl 1128.76045 Numer. Methods Partial Differ. Equations 24, No. 1, 79-103 (2008). MSC: 76M22 76D05 65M12 65M15 PDF BibTeX XML Cite \textit{Y. He}, Numer. Methods Partial Differ. Equations 24, No. 1, 79--103 (2008; Zbl 1128.76045) Full Text: DOI OpenURL
He, Yinnian; Zhao, Chunshan Asymptotic behavior of the Navier-Stokes flow in a general 2D domain. (English) Zbl 1125.35073 Appl. Math. Lett. 18, No. 10, 1170-1176 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q30 35B25 35B40 76D05 PDF BibTeX XML Cite \textit{Y. He} and \textit{C. Zhao}, Appl. Math. Lett. 18, No. 10, 1170--1176 (2005; Zbl 1125.35073) Full Text: DOI OpenURL
He, Yinnian Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with \(H^2\) or \(H^1\) initial data. (English) Zbl 1076.76059 Numer. Methods Partial Differ. Equations 21, No. 5, 875-904 (2005). MSC: 76M22 76D05 65M12 65M15 PDF BibTeX XML Cite \textit{Y. He}, Numer. Methods Partial Differ. Equations 21, No. 5, 875--904 (2005; Zbl 1076.76059) Full Text: DOI OpenURL
He, Yinnian Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 1065.35025 Math. Comput. 74, No. 251, 1201-1216 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 35A35 35Q30 65M60 76D06 PDF BibTeX XML Cite \textit{Y. He}, Math. Comput. 74, No. 251, 1201--1216 (2005; Zbl 1065.35025) Full Text: DOI OpenURL
He, Yinnian; Li, Kaitai; Zhao, Chunshan Uniform stability of spectral nonlinear Galerkin methods. (English) Zbl 1086.76056 Numer. Methods Partial Differ. Equations 20, No. 5, 723-741 (2004). MSC: 76M22 76D05 65M12 PDF BibTeX XML Cite \textit{Y. He} et al., Numer. Methods Partial Differ. Equations 20, No. 5, 723--741 (2004; Zbl 1086.76056) Full Text: DOI OpenURL
He, Yinnian; Li, Kaitai Stability of Galerkin and inertial algorithms with variable time step size. (English) Zbl 1018.65111 J. Comput. Appl. Math. 146, No. 2, 213-230 (2002). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 35K55 65M60 PDF BibTeX XML Cite \textit{Y. He} and \textit{K. Li}, J. Comput. Appl. Math. 146, No. 2, 213--230 (2002; Zbl 1018.65111) Full Text: DOI OpenURL
He, Yinnian; Li, Kaitai; Gao, Shihao Convergence and complexity of nonlinear Galerkin algorithms. (Chinese. English summary) Zbl 0935.65104 Appl. Math., Ser. A (Chin. Ed.) 14, No. 3, 341-349 (1999). MSC: 65M60 35A35 35K90 PDF BibTeX XML Cite \textit{Y. He} et al., Appl. Math., Ser. A (Chin. Ed.) 14, No. 3, 341--349 (1999; Zbl 0935.65104) OpenURL
He, Yinnian; Li, Kaitai Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. (English) Zbl 0903.76052 Numer. Math. 79, No. 1, 77-106 (1998). MSC: 76M10 76D05 65M12 65M60 PDF BibTeX XML Cite \textit{Y. He} and \textit{K. Li}, Numer. Math. 79, No. 1, 77--106 (1998; Zbl 0903.76052) Full Text: DOI OpenURL
He, Yinnian; Li, Kaitai Stability analysis of nonlinear Galerkin and Galerkin methods for nonlinear evolution equations. (English) Zbl 0862.35006 Appl. Math., Ser. B (Engl. Ed.) 11, No. 2, 137-152 (1996). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M99 65N99 65M60 PDF BibTeX XML Cite \textit{Y. He} and \textit{K. Li}, Appl. Math., Ser. B (Engl. Ed.) 11, No. 2, 137--152 (1996; Zbl 0862.35006) Full Text: DOI OpenURL
He, Yinnian; Huang, Aixiang Stability of nonlinear Galerkin algorithms. (Chinese. English summary) Zbl 0845.65049 Numer. Math., Nanjing 18, No. 1, 7-16 (1996). MSC: 65M12 65M60 35K55 65M06 PDF BibTeX XML Cite \textit{Y. He} and \textit{A. Huang}, Numer. Math., Nanjing 18, No. 1, 7--16 (1996; Zbl 0845.65049) OpenURL