Guo, Yuling; Wang, Zhongqing A fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation. (English) Zbl 1523.65066 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107424, 15 p. (2023). MSC: 65L60 34K37 45D05 65L70 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Z. Wang}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107424, 15 p. (2023; Zbl 1523.65066) Full Text: DOI
Yu, Xuhong; Wang, Zhongqing Spectral methods in space and time for parabolic problems on semi-infinite domains. (English) Zbl 1510.35134 Calcolo 60, No. 1, Paper No. 17, 25 p. (2023). MSC: 35K20 65M70 42C10 41A20 PDFBibTeX XMLCite \textit{X. Yu} and \textit{Z. Wang}, Calcolo 60, No. 1, Paper No. 17, 25 p. (2023; Zbl 1510.35134) Full Text: DOI
Li, Shan; Sun, Guilei; Guo, Yuling; Wang, Zhongqing A multiple interval Chebyshev-Gauss-Lobatto collocation method for multi-order fractional differential equations. (English) Zbl 1485.65090 East Asian J. Appl. Math. 12, No. 3, 649-672 (2022). MSC: 65L60 34A08 65L70 PDFBibTeX XMLCite \textit{S. Li} et al., East Asian J. Appl. Math. 12, No. 3, 649--672 (2022; Zbl 1485.65090) Full Text: DOI
Zhang, Tiangong; Li, Huiyuan; Wang, Zhongqing Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains. (English) Zbl 1484.65279 Appl. Numer. Math. 176, 159-181 (2022). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Numer. Math. 176, 159--181 (2022; Zbl 1484.65279) Full Text: DOI
Li, Shan; Wu, Jinju; Wang, Zhongqing Sobolev orthogonal Legendre rational spectral methods for exterior problems. (English) Zbl 1499.65701 Int. J. Comput. Math. 99, No. 2, 370-390 (2022). MSC: 65N35 41A20 33C45 35J25 35K10 PDFBibTeX XMLCite \textit{S. Li} et al., Int. J. Comput. Math. 99, No. 2, 370--390 (2022; Zbl 1499.65701) Full Text: DOI
Yu, Xuhong; Li, Long; Wang, Zhongqing Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains. (English) Zbl 1501.65082 Appl. Numer. Math. 170, 39-54 (2021). MSC: 65M70 65M60 41A20 33C45 PDFBibTeX XMLCite \textit{X. Yu} et al., Appl. Numer. Math. 170, 39--54 (2021; Zbl 1501.65082) Full Text: DOI
Yu, Xuhong; Ye, Xueqin; Wang, Zhongqing A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278 Numer. Algorithms 88, No. 1, 1-23 (2021). MSC: 65M70 35Q35 33C45 65M50 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Algorithms 88, No. 1, 1--23 (2021; Zbl 1484.65278) Full Text: DOI
Gu, Dong-qin; Wang, Zhong-qing Orthogonal Jacobi rational functions and spectral methods on the half line. (English) Zbl 1477.65255 J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021). MSC: 65N35 65N12 65N15 41A20 35J15 33C47 PDFBibTeX XMLCite \textit{D.-q. Gu} and \textit{Z.-q. Wang}, J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021; Zbl 1477.65255) Full Text: DOI
Li, Shan; Yan, Shi-Mi; Wang, Zhong-Qing Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations. (English) Zbl 1434.65296 Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1543-1563 (2020). MSC: 65N35 33C45 35J58 PDFBibTeX XMLCite \textit{S. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1543--1563 (2020; Zbl 1434.65296) Full Text: DOI
Liu, Yuan; Yu, Xu-hong; Wang, Zhong-qing; Li, Hui-yuan Hermite-Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains. (English) Zbl 1499.65703 Int. J. Comput. Math. 96, No. 5, 950-970 (2019). MSC: 65N35 33C45 41A30 35J25 35J40 65N12 PDFBibTeX XMLCite \textit{Y. Liu} et al., Int. J. Comput. Math. 96, No. 5, 950--970 (2019; Zbl 1499.65703) Full Text: DOI
Yu, Xuhong; Wang, Zhongqing; Li, Huiyuan Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems. (English) Zbl 1449.33014 Commun. Appl. Math. Comput. 1, No. 2, 283-308 (2019). MSC: 33C45 35J25 65N15 65N35 PDFBibTeX XMLCite \textit{X. Yu} et al., Commun. Appl. Math. Comput. 1, No. 2, 283--308 (2019; Zbl 1449.33014) Full Text: DOI
Ai, Qing; Li, Hui-yuan; Wang, Zhong-qing Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems. (English) Zbl 1382.65424 Appl. Numer. Math. 127, 196-210 (2018). MSC: 65N35 35J25 35J05 35B25 65N15 PDFBibTeX XMLCite \textit{Q. Ai} et al., Appl. Numer. Math. 127, 196--210 (2018; Zbl 1382.65424) Full Text: DOI
Liu, Fu-Jun; Wang, Zhong-Qing; Li, Hui-Yuan A fully diagonalized spectral method using generalized Laguerre functions on the half line. (English) Zbl 1387.76077 Adv. Comput. Math. 43, No. 6, 1227-1259 (2017). MSC: 76M22 33C45 35J25 65L70 PDFBibTeX XMLCite \textit{F.-J. Liu} et al., Adv. Comput. Math. 43, No. 6, 1227--1259 (2017; Zbl 1387.76077) Full Text: DOI arXiv
Zhang, Chao; Gu, Dong-qin; Wang, Zhong-qing; Li, Hui-yuan Efficient space-time spectral methods for second-order problems on unbounded domains. (English) Zbl 1377.65139 J. Sci. Comput. 72, No. 2, 679-699 (2017). MSC: 65M70 35K20 65M60 65M12 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Sci. Comput. 72, No. 2, 679--699 (2017; Zbl 1377.65139) Full Text: DOI
Liu, Fu-jun; Li, Hui-yuan; Wang, Zhong-qing Spectral methods using generalized Laguerre functions for second and fourth order problems. (English) Zbl 1385.65048 Numer. Algorithms 75, No. 4, 1005-1040 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 33C45 65L60 65L70 34B05 65L20 65N35 35J25 PDFBibTeX XMLCite \textit{F.-j. Liu} et al., Numer. Algorithms 75, No. 4, 1005--1040 (2017; Zbl 1385.65048) Full Text: DOI
Yi, Lijun; Wang, Zhongqing A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations. (English) Zbl 1379.65054 Calcolo 53, No. 4, 691-721 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L70 65L03 34K28 PDFBibTeX XMLCite \textit{L. Yi} and \textit{Z. Wang}, Calcolo 53, No. 4, 691--721 (2016; Zbl 1379.65054) Full Text: DOI
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. (English) Zbl 1416.65551 Appl. Numer. Math. 105, 1-24 (2016). MSC: 65R20 65L60 45J05 45D05 65L20 PDFBibTeX XMLCite \textit{C.-T. Sheng} et al., Appl. Numer. Math. 105, 1--24 (2016; Zbl 1416.65551) Full Text: DOI
Yi, Lijun; Wang, Zhongqing Legendre-Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations. (English) Zbl 1306.65238 Int. J. Comput. Math. 91, No. 7, 1434-1460 (2014). MSC: 65L60 65M70 35K55 65L05 34A34 PDFBibTeX XMLCite \textit{L. Yi} and \textit{Z. Wang}, Int. J. Comput. Math. 91, No. 7, 1434--1460 (2014; Zbl 1306.65238) Full Text: DOI
Guo, Ben-Yu; Wang, Zhong-Qing A collocation method for generalized nonlinear Klein-Gordon equation. (English) Zbl 1300.65072 Adv. Comput. Math. 40, No. 2, 377-398 (2014). MSC: 65M70 81Q05 35Q40 65M12 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{Z.-Q. Wang}, Adv. Comput. Math. 40, No. 2, 377--398 (2014; Zbl 1300.65072) Full Text: DOI
Yi, Lijun; Wang, Zhongqing Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations. (English) Zbl 1282.65126 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 299-322 (2014). MSC: 65M70 41A10 65L05 35L20 PDFBibTeX XMLCite \textit{L. Yi} and \textit{Z. Wang}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 299--322 (2014; Zbl 1282.65126) Full Text: DOI
Xiang, Xin-Min; Wang, Zhong-Qing Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions. (English) Zbl 1282.65161 J. Sci. Comput. 57, No. 2, 229-253 (2013). MSC: 65N35 76M22 33C45 65M12 35J25 35L05 PDFBibTeX XMLCite \textit{X.-M. Xiang} and \textit{Z.-Q. Wang}, J. Sci. Comput. 57, No. 2, 229--253 (2013; Zbl 1282.65161) Full Text: DOI
Yi, Li-Jun; Liang, Zi-Qiang; Wang, Zhong-Qing Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations. (English) Zbl 1278.65161 Math. Methods Appl. Sci. 36, No. 18, 2476-2491 (2013). MSC: 65M70 65L05 65L70 41A10 PDFBibTeX XMLCite \textit{L.-J. Yi} et al., Math. Methods Appl. Sci. 36, No. 18, 2476--2491 (2013; Zbl 1278.65161) Full Text: DOI
Shen, Jie; Wang, Zhong-Qing Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation. (English) Zbl 1264.65168 Found. Comput. Math. 13, No. 1, 99-137 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 65M15 35Q35 PDFBibTeX XMLCite \textit{J. Shen} and \textit{Z.-Q. Wang}, Found. Comput. Math. 13, No. 1, 99--137 (2013; Zbl 1264.65168) Full Text: DOI
Wang, Zhong-qing; Guo, Ben-yu Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. (English) Zbl 1255.65133 J. Sci. Comput. 52, No. 1, 226-255 (2012). MSC: 65L05 PDFBibTeX XMLCite \textit{Z.-q. Wang} and \textit{B.-y. Guo}, J. Sci. Comput. 52, No. 1, 226--255 (2012; Zbl 1255.65133) Full Text: DOI
Yu, Xu-Hong; Wang, Zhong-Qing Jacobi spectral method with essential imposition of Neumann boundary condition. (English) Zbl 1246.65223 Appl. Numer. Math. 62, No. 8, 956-974 (2012). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65N35 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{X.-H. Yu} and \textit{Z.-Q. Wang}, Appl. Numer. Math. 62, No. 8, 956--974 (2012; Zbl 1246.65223) Full Text: DOI
Yu, Xu-Hong; Wang, Zhong-Qing Mixed Fourier-Jacobi spectral method for two-dimensional Neumann boundary value problems. (English) Zbl 1287.65118 East Asian J. Appl. Math. 1, No. 3, 284-296 (2011). MSC: 65N35 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{X.-H. Yu} and \textit{Z.-Q. Wang}, East Asian J. Appl. Math. 1, No. 3, 284--296 (2011; Zbl 1287.65118) Full Text: DOI
Wang, Zhong-Qing The Laguerre spectral method for solving Neumann boundary value problems. (English) Zbl 1215.65181 J. Comput. Appl. Math. 235, No. 10, 3229-3237 (2011). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{Z.-Q. Wang}, J. Comput. Appl. Math. 235, No. 10, 3229--3237 (2011; Zbl 1215.65181) Full Text: DOI
Guo, Ben-yu; Wang, Zhong-qing Legendre-Gauss collocation methods for ordinary differential equations. (English) Zbl 1162.65375 Adv. Comput. Math. 30, No. 3, 249-280 (2009). MSC: 65L60 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{Z.-q. Wang}, Adv. Comput. Math. 30, No. 3, 249--280 (2009; Zbl 1162.65375) Full Text: DOI
Wang, Zhong-Qing; Guo, Ben-Yu Jacobi rational approximation and spectral method for differential equations of degenerate type. (English) Zbl 1132.41315 Math. Comput. 77, No. 262, 883-907 (2008). MSC: 41A20 65M70 35K65 PDFBibTeX XMLCite \textit{Z.-Q. Wang} and \textit{B.-Y. Guo}, Math. Comput. 77, No. 262, 883--907 (2008; Zbl 1132.41315) Full Text: DOI
Guo, Benyu; Wang, Zhongqing Numerical integration based on Laguerre-Gauss interpolation. (English) Zbl 1173.65312 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3726-3741 (2007). MSC: 65D30 65L05 65D05 41A30 PDFBibTeX XMLCite \textit{B. Guo} and \textit{Z. Wang}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3726--3741 (2007; Zbl 1173.65312) Full Text: DOI
Guo, Ben-yu; Wang, Zhong-qing; Wan, Zheng-su; Chu, Delin Second order Jacobi approximation with applications to fourth-order differential equations. (English) Zbl 1081.65080 Appl. Numer. Math. 55, No. 4, 480-502 (2005). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L60 34B15 65L10 PDFBibTeX XMLCite \textit{B.-y. Guo} et al., Appl. Numer. Math. 55, No. 4, 480--502 (2005; Zbl 1081.65080) Full Text: DOI