Tan, Zengqiang; Zhang, Chengjian Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods. (English) Zbl 07487719 Math. Comput. Simul. 196, 68-87 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Z. Tan} and \textit{C. Zhang}, Math. Comput. Simul. 196, 68--87 (2022; Zbl 07487719) Full Text: DOI
Wang, Wansheng; Zhang, Chengjian Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson’s blowflies models. (English) Zbl 07323666 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105723, 19 p. (2021). MSC: 65L07 65L20 34K40 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105723, 19 p. (2021; Zbl 07323666) Full Text: DOI
Tan, Zengqiang; Zhang, Chengjian Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods. (English) Zbl 1480.65159 Int. J. Comput. Math. 97, No. 12, 2561-2581 (2020). MSC: 65L03 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{C. Zhang}, Int. J. Comput. Math. 97, No. 12, 2561--2581 (2020; Zbl 1480.65159) Full Text: DOI
Zhou, Yongtao; Zhang, Chengjian One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. (English) Zbl 1429.65150 Appl. Math. Comput. 348, 594-608 (2019). MSC: 65L05 34A08 65L06 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{C. Zhang}, Appl. Math. Comput. 348, 594--608 (2019; Zbl 1429.65150) Full Text: DOI
Tan, Zengqiang; Zhang, Chengjian Implicit-explicit one-leg methods for nonlinear stiff neutral equations. (English) Zbl 1427.65103 Appl. Math. Comput. 335, 196-210 (2018). MSC: 65L04 65L06 65L20 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{C. Zhang}, Appl. Math. Comput. 335, 196--210 (2018; Zbl 1427.65103) Full Text: DOI
Shi, Wen-Jie; Zhang, Cheng-Jian Generalized polynomial chaos for nonlinear random pantograph equations. (English) Zbl 1360.65204 Acta Math. Appl. Sin., Engl. Ser. 32, No. 3, 685-700 (2016). MSC: 65L70 65C30 PDFBibTeX XMLCite \textit{W.-J. Shi} and \textit{C.-J. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 32, No. 3, 685--700 (2016; Zbl 1360.65204) Full Text: DOI
Ding, Jianwan; Zhang, Chengjian An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations. (English) Zbl 1410.65247 Appl. Math. Comput. 265, 347-351 (2015). MSC: 65L05 34K40 45J05 65L03 65L07 PDFBibTeX XMLCite \textit{J. Ding} and \textit{C. Zhang}, Appl. Math. Comput. 265, 347--351 (2015; Zbl 1410.65247) Full Text: DOI
Qin, Tingting; Zhang, Chengjian Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. (English) Zbl 1328.65160 Appl. Math. Comput. 250, 47-57 (2015). MSC: 65L06 65R20 34K28 34K40 45J05 PDFBibTeX XMLCite \textit{T. Qin} and \textit{C. Zhang}, Appl. Math. Comput. 250, 47--57 (2015; Zbl 1328.65160) Full Text: DOI
Chen, Hao; Zhang, Chengjian Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. (English) Zbl 1255.65154 Math. Comput. Modelling 55, No. 3-4, 530-537 (2012). MSC: 65L80 65L20 65L03 65L06 PDFBibTeX XMLCite \textit{H. Chen} and \textit{C. Zhang}, Math. Comput. Modelling 55, No. 3--4, 530--537 (2012; Zbl 1255.65154) Full Text: DOI
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng Long time behavior of non-Fickian delay reaction-diffusion equations. (English) Zbl 1239.35069 Nonlinear Anal., Real World Appl. 13, No. 3, 1401-1415 (2012). MSC: 35K57 35B40 35R09 35Q92 65M12 PDFBibTeX XMLCite \textit{D. Li} et al., Nonlinear Anal., Real World Appl. 13, No. 3, 1401--1415 (2012; Zbl 1239.35069) Full Text: DOI
Zhang, Chengjian; Chen, Hao; Wang, Leiming Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. (English) Zbl 1249.65165 Numer. Linear Algebra Appl. 18, No. 5, 843-855 (2011). Reviewer: Felice Iavernaro (Bari) MSC: 65L80 65F08 34A30 34A09 34K40 34K28 65L03 65L20 PDFBibTeX XMLCite \textit{C. Zhang} et al., Numer. Linear Algebra Appl. 18, No. 5, 843--855 (2011; Zbl 1249.65165) Full Text: DOI
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. (English) Zbl 1225.65125 Appl. Math. Modelling 35, No. 9, 4490-4506 (2011). MSC: 65R20 45J05 45M10 34K20 34K40 39A30 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Math. Modelling 35, No. 9, 4490--4506 (2011; Zbl 1225.65125) Full Text: DOI
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu LDG method for reaction-diffusion dynamical systems with time delay. (English) Zbl 1239.65062 Appl. Math. Comput. 217, No. 22, 9173-9181 (2011). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 35K57 35K58 65M12 65M15 35R10 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Math. Comput. 217, No. 22, 9173--9181 (2011; Zbl 1239.65062) Full Text: DOI
Zhang, Chengjian; Qin, Tingting; Jin, Jie The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. (English) Zbl 1203.65289 Computing 90, No. 1-2, 57-71 (2010). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{C. Zhang} et al., Computing 90, No. 1--2, 57--71 (2010; Zbl 1203.65289) Full Text: DOI
Wang, Wansheng; Zhang, Chengjian Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. (English) Zbl 1193.65140 Numer. Math. 115, No. 3, 451-474 (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 34K20 34K28 34K40 34G20 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C. Zhang}, Numer. Math. 115, No. 3, 451--474 (2010; Zbl 1193.65140) Full Text: DOI
Zhang, Chengjian; Qin, Tingting; Jin, Jie An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations. (English) Zbl 1177.65197 Appl. Math. Comput. 215, No. 2, 548-556 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 65R20 34K40 PDFBibTeX XMLCite \textit{C. Zhang} et al., Appl. Math. Comput. 215, No. 2, 548--556 (2009; Zbl 1177.65197) Full Text: DOI
Zhang, Chengjian; Vandewalle, Stefan Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. (English) Zbl 1154.65101 Adv. Comput. Math. 28, No. 4, 383-399 (2008). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45J05 45M10 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{S. Vandewalle}, Adv. Comput. Math. 28, No. 4, 383--399 (2008; Zbl 1154.65101) Full Text: DOI
Zhang, Chengjian NGP(\(\alpha\))-stability of general linear methods for NDDEs. (English) Zbl 1073.65075 Comput. Math. Appl. 47, No. 6-7, 1105-1113 (2004). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L20 34K28 65L06 34K40 PDFBibTeX XMLCite \textit{C. Zhang}, Comput. Math. Appl. 47, No. 6--7, 1105--1113 (2004; Zbl 1073.65075) Full Text: DOI
Zhang, Cheng-Jian; Li, Shou-Fu Dissipativity and exponentially asymptotic stability of the solutions for nonlinear neutral functional-differential equations. (English) Zbl 1030.34067 Appl. Math. Comput. 119, No. 1, 109-115 (2001). MSC: 34K20 34K40 34K30 PDFBibTeX XMLCite \textit{C.-J. Zhang} and \textit{S.-F. Li}, Appl. Math. Comput. 119, No. 1, 109--115 (2001; Zbl 1030.34067) Full Text: DOI
Zhang, Chengjian; Liao, Xiaoxin Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations. (English) Zbl 0987.65066 Acta Math. Appl. Sin., Engl. Ser. 17, No. 2, 240-246 (2001). Reviewer: Dana Petcu (Timişoara) MSC: 65L06 65L05 65L20 34K25 34K28 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{X. Liao}, Acta Math. Appl. Sin., Engl. Ser. 17, No. 2, 240--246 (2001; Zbl 0987.65066) Full Text: DOI
Zhang, C. J.; Zhou, S. Z. Stability analysis of LMMs for systems of neutral multidelay-differential equations. (English) Zbl 0940.65085 Comput. Math. Appl. 38, No. 3-4, 113-117 (1999). Reviewer: N.Parhi (Berhampur) MSC: 65L20 34K28 34K40 65L07 65L06 PDFBibTeX XMLCite \textit{C. J. Zhang} and \textit{S. Z. Zhou}, Comput. Math. Appl. 38, No. 3--4, 113--117 (1999; Zbl 0940.65085) Full Text: DOI