Li, Min; Dai, Xinjie; Huang, Chengming Fast Euler-Maruyama method for weakly singular stochastic Volterra integral equations with variable exponent. (English) Zbl 1511.65012 Numer. Algorithms 92, No. 4, 2433-2455 (2023). MSC: 65C30 65R20 65C05 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 92, No. 4, 2433--2455 (2023; Zbl 1511.65012) Full Text: DOI
Wang, Nan; Mao, Zhiping; Huang, Chengming; Karniadakis, George Em A spectral penalty method for two-sided fractional differential equations with general boundary conditions. (English) Zbl 1501.65143 SIAM J. Sci. Comput. 41, No. 3, A1840-A1866 (2019). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 35D30 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{N. Wang} et al., SIAM J. Sci. Comput. 41, No. 3, A1840--A1866 (2019; Zbl 1501.65143) Full Text: DOI arXiv
Li, Min; Huang, Chengming The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. (English) Zbl 07042456 J. Sci. Comput. 78, No. 1, 549-564 (2019). MSC: 65Dxx 41-XX PDFBibTeX XMLCite \textit{M. Li} and \textit{C. Huang}, J. Sci. Comput. 78, No. 1, 549--564 (2019; Zbl 07042456) Full Text: DOI
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations. (English) Zbl 1356.60096 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 6, 1303-1328 (2016). MSC: 60H10 60H35 60F10 60G44 60J10 65C30 34K34 PDFBibTeX XMLCite \textit{X. Zong} et al., Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 6, 1303--1328 (2016; Zbl 1356.60096) Full Text: DOI
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. (English) Zbl 1320.34111 J. Comput. Appl. Math. 286, 172-185 (2015). MSC: 34K50 34K40 34K20 34K28 PDFBibTeX XMLCite \textit{X. Zong} et al., J. Comput. Appl. Math. 286, 172--185 (2015; Zbl 1320.34111) Full Text: DOI
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. (English) Zbl 1306.65011 J. Comput. Appl. Math. 278, 258-277 (2015). MSC: 65C30 60H10 60H35 34K50 34K28 65L20 PDFBibTeX XMLCite \textit{X. Zong} et al., J. Comput. Appl. Math. 278, 258--277 (2015; Zbl 1306.65011) Full Text: DOI
Li, Wenhao; Huang, Chengming; Gan, Siqing Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters. (English) Zbl 1207.65102 J. Franklin Inst. 347, No. 8, 1437-1451 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65L20 65L07 34K20 65L03 65L12 34K28 PDFBibTeX XMLCite \textit{W. Li} et al., J. Franklin Inst. 347, No. 8, 1437--1451 (2010; Zbl 1207.65102) Full Text: DOI
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong Delay-dependent stability analysis of multistep methods for delay differential equations. (English) Zbl 1190.65115 Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 607-616 (2009). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L20 65L06 65L05 34K28 PDFBibTeX XMLCite \textit{C.-M. Huang} et al., Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 607--616 (2009; Zbl 1190.65115) Full Text: DOI
Huang, Chengming Stability analysis of general linear methods for the nonautonomous pantograph equation. (English) Zbl 1169.65080 IMA J. Numer. Anal. 29, No. 2, 444-465 (2009). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 65L06 34K28 PDFBibTeX XMLCite \textit{C. Huang}, IMA J. Numer. Anal. 29, No. 2, 444--465 (2009; Zbl 1169.65080) Full Text: DOI
Huang, Chengming Asymptotic stability of multistep methods for nonlinear delay differential equations. (English) Zbl 1161.65063 Appl. Math. Comput. 203, No. 2, 908-912 (2008). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L20 65L06 65L05 34K28 PDFBibTeX XMLCite \textit{C. Huang}, Appl. Math. Comput. 203, No. 2, 908--912 (2008; Zbl 1161.65063) Full Text: DOI
Huang, Chengming; Li, Wenhao Delay-dependent stability analysis of the trapezium rule for a class of second order delay differential equations. (English) Zbl 1180.65097 Chin. J. Numer. Math. Appl. 29, No. 3, 96-104 (2007); translation from Math. Numer. Sin. 29, No. 2, 155-162 (2007). MSC: 65L20 34K20 34K28 65L05 PDFBibTeX XMLCite \textit{C. Huang} and \textit{W. Li}, Chin. J. Numer. Math. Appl. 29, No. 3, 96--104 (2007; Zbl 1180.65097); translation from Math. Numer. Sin. 29, No. 2, 155--162 (2007)
Dong, Dian; Huang, Chengming Nonlinear stability of general linear method for delay differential equations with a variable delay. (Chinese. English summary) Zbl 1107.65071 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 30, No. 3, 256-259 (2006). MSC: 65L20 65L05 65L06 34K28 PDFBibTeX XMLCite \textit{D. Dong} and \textit{C. Huang}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 30, No. 3, 256--259 (2006; Zbl 1107.65071)
Huang, Chengming; Vandewalle, Stefan Discretized stability and error growth of the nonautonomous pantograph equation. (English) Zbl 1080.65068 SIAM J. Numer. Anal. 42, No. 5, 2020-2042 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65L20 65L06 65L05 65L70 34K28 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S. Vandewalle}, SIAM J. Numer. Anal. 42, No. 5, 2020--2042 (2005; Zbl 1080.65068) Full Text: DOI
Huang, Chengming; Chang, Qianshun Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. (English) Zbl 1077.65079 Math. Comput. Modelling 40, No. 11-12, 1285-1296 (2004). Reviewer: Iulian Coroian (Baia Mare) MSC: 65L06 34K28 65L20 65L05 PDFBibTeX XMLCite \textit{C. Huang} and \textit{Q. Chang}, Math. Comput. Modelling 40, No. 11--12, 1285--1296 (2004; Zbl 1077.65079) Full Text: DOI
Huang, Chengming; Vandewalle, Stefan An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. (English) Zbl 1064.65078 SIAM J. Sci. Comput. 25, No. 5, 1608-1632 (2004). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 65M12 34K28 35R10 65M20 65M06 65L06 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S. Vandewalle}, SIAM J. Sci. Comput. 25, No. 5, 1608--1632 (2004; Zbl 1064.65078) Full Text: DOI
Huang, Chengming; Gan, Siqing Linear stability of numerical methods for systems of functional differential equations with a proportional delay. (English) Zbl 1035.65090 Prog. Nat. Sci. 13, No. 5, 329-333 (2003). Reviewer: Dana Petcu (Timişoara) MSC: 65L20 34K28 65L05 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S. Gan}, Prog. Nat. Sci. 13, No. 5, 329--333 (2003; Zbl 1035.65090)
Huang, Chengming; Chang, Qianshun Stability analysis of numerical methods for systems of functional-differential and functional equations. (English) Zbl 1035.65089 Comput. Math. Appl. 44, No. 5-6, 717-729 (2002). MSC: 65L20 65L05 65L06 65Q05 34K40 34K28 PDFBibTeX XMLCite \textit{C. Huang} and \textit{Q. Chang}, Comput. Math. Appl. 44, No. 5--6, 717--729 (2002; Zbl 1035.65089) Full Text: DOI
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan Nonlinear stability of general linear methods for delay differential equations. (English) Zbl 1009.65054 BIT 42, No. 2, 380-392 (2002). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L20 65L06 34K28 65L05 PDFBibTeX XMLCite \textit{C. Huang} et al., BIT 42, No. 2, 380--392 (2002; Zbl 1009.65054) Full Text: DOI
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan \(D\)-convergence of one-leg methods for stiff delay differential equations. (English) Zbl 1007.65054 J. Comput. Math. 19, No. 6, 601-606 (2001). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L20 65L06 34K28 65L70 65L05 PDFBibTeX XMLCite \textit{C. Huang} et al., J. Comput. Math. 19, No. 6, 601--606 (2001; Zbl 1007.65054)
Huang, Chengming; Chang, Qianshun Linear stability of general linear methods for systems of neutral delay differential equations. (English) Zbl 0989.65078 Appl. Math. Lett. 14, No. 8, 1017-1021 (2001). Reviewer: Ziwen Jiang (Shandong) MSC: 65L20 65L05 34K28 34K40 PDFBibTeX XMLCite \textit{C. Huang} and \textit{Q. Chang}, Appl. Math. Lett. 14, No. 8, 1017--1021 (2001; Zbl 0989.65078) Full Text: DOI
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan \(D\)-convergence of general linear methods for stiff delay differential equations. (English) Zbl 0989.65079 Comput. Math. Appl. 41, No. 5-6, 627-639 (2001). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L20 65L06 34K28 65L70 PDFBibTeX XMLCite \textit{C. Huang} et al., Comput. Math. Appl. 41, No. 5--6, 627--639 (2001; Zbl 0989.65079) Full Text: DOI
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan \(D\)-convergence of Runge-Kutta methods for stiff delay differential equations. (English) Zbl 0986.65073 J. Comput. Math. 19, No. 3, 259-268 (2001). Reviewer: N.Parhi (Berhampur) MSC: 65L20 34K28 65L05 65L06 PDFBibTeX XMLCite \textit{C. Huang} et al., J. Comput. Math. 19, No. 3, 259--268 (2001; Zbl 0986.65073)
Huang, Chengming; Li, Shoufu Nonlinear asymptotic stability of \(\theta\)-methods. (Chinese. English summary) Zbl 1011.65038 Numer. Math., Nanjing 22, No. 4, 335-340 (2000). MSC: 65L05 34K28 65L20 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S. Li}, Numer. Math., Nanjing 22, No. 4, 335--340 (2000; Zbl 1011.65038)
Huang, Chengming; Chang, Qianshun The asymptotic stability of multistep multiderivative methods for systems of delay differential equations. (English) Zbl 0962.65065 Commun. Nonlinear Sci. Numer. Simul. 5, No. 1, 24-26 (2000). Reviewer: I.Čomić (Novi Sad) MSC: 65L20 65L05 65L06 34K28 PDFBibTeX XMLCite \textit{C. Huang} and \textit{Q. Chang}, Commun. Nonlinear Sci. Numer. Simul. 5, No. 1, 24--26 (2000; Zbl 0962.65065) Full Text: DOI
Huang, Chengming Dissipativity of Runge-Kutta methods for dynamical systems with delays. (English) Zbl 0944.65134 IMA J. Numer. Anal. 20, No. 1, 153-166 (2000). Reviewer: M.Calvo (Zaragoza) MSC: 65P40 37M25 37C75 PDFBibTeX XMLCite \textit{C. Huang}, IMA J. Numer. Anal. 20, No. 1, 153--166 (2000; Zbl 0944.65134) Full Text: DOI
Huang, Chengming Contractivity of linear multistep methods nonlinear delay differential equations. (Chinese. English summary) Zbl 0959.65094 Nat. Sci. J. Xiangtan Univ. 21, No. 3, 4-6 (1999). MSC: 65L20 65L05 65L06 34K28 PDFBibTeX XMLCite \textit{C. Huang}, Nat. Sci. J. Xiangtan Univ. 21, No. 3, 4--6 (1999; Zbl 0959.65094)
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan Stability and error analysis of one-leg methods for nonlinear delay differential equations. (English) Zbl 0948.65078 J. Comput. Appl. Math. 103, No. 2, 263-279 (1999). Reviewer: K.Burrage (Brisbane) MSC: 65L20 34K28 65L70 65L05 65L06 PDFBibTeX XMLCite \textit{C. Huang} et al., J. Comput. Appl. Math. 103, No. 2, 263--279 (1999; Zbl 0948.65078) Full Text: DOI
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. (English) Zbl 0930.65090 BIT 39, No. 2, 270-280 (1999). Reviewer: N.Parhi (Berhampur) MSC: 65L20 34K28 34K05 65L06 PDFBibTeX XMLCite \textit{C. Huang} et al., BIT 39, No. 2, 270--280 (1999; Zbl 0930.65090) Full Text: DOI