Guo, Yuling; Wang, Zhongqing A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations. (English) Zbl 1501.65141 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7521-7545 (2022). MSC: 65N35 65M22 65D32 65D05 65N15 45B99 34K10 41A10 26A33 35R11 35R07 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Z. Wang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7521--7545 (2022; Zbl 1501.65141) Full Text: DOI
Guo, Yu-ling; Wang, Zhong-qing A two-grid spectral deferred correction method for the multi-order fractional differential equations. (English) Zbl 1498.65108 J. Sci. Comput. 92, No. 3, Paper No. 78, 18 p. (2022). MSC: 65L03 65L60 34A08 34A12 41A25 PDFBibTeX XMLCite \textit{Y.-l. Guo} and \textit{Z.-q. Wang}, J. Sci. Comput. 92, No. 3, Paper No. 78, 18 p. (2022; Zbl 1498.65108) Full Text: DOI
Yu, Xuhong; Jin, Lusha; Wang, Zhongqing Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations. (English) Zbl 1474.65460 J. Comput. Math. 39, No. 1, 43-62 (2021). MSC: 65N35 65N30 41A50 PDFBibTeX XMLCite \textit{X. Yu} et al., J. Comput. Math. 39, No. 1, 43--62 (2021; Zbl 1474.65460) 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; Li, Qiao-ling; Wang, Zhong-qing Sobolev orthogonal Legendre rational spectral methods for problems on the half line. (English) Zbl 1451.65211 Math. Methods Appl. Sci. 43, No. 1, 255-268 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N30 41A20 35J25 65N15 PDFBibTeX XMLCite \textit{S. Li} et al., Math. Methods Appl. Sci. 43, No. 1, 255--268 (2020; Zbl 1451.65211) 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
Jia, Hongli; Yang, Yang; Wang, Zhongqing An \(hp\)-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1449.65274 Numer. Math., Theory Methods Appl. 12, No. 3, 969-994 (2019). MSC: 65M70 65M15 35R09 45K05 41A50 PDFBibTeX XMLCite \textit{H. Jia} et al., Numer. Math., Theory Methods Appl. 12, No. 3, 969--994 (2019; Zbl 1449.65274) Full Text: DOI
Wang, Zhong-Qing; Sheng, Chang-Tao; Jia, Hong-Li; Li, Dao A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays. (English) Zbl 1478.65142 East Asian J. Appl. Math. 8, No. 2, 233-260 (2018). MSC: 65R20 65L60 45D05 41A10 PDFBibTeX XMLCite \textit{Z.-Q. Wang} et al., East Asian J. Appl. Math. 8, No. 2, 233--260 (2018; Zbl 1478.65142) Full Text: DOI Link
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
Wang, Zhong-Qing; Sheng, Chang-Tao An \(hp\)-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. (English) Zbl 1332.65119 Math. Comput. 85, No. 298, 635-666 (2016). MSC: 65L60 45D05 41A10 65L70 PDFBibTeX XMLCite \textit{Z.-Q. Wang} and \textit{C.-T. Sheng}, Math. Comput. 85, No. 298, 635--666 (2016; Zbl 1332.65119) Full Text: DOI
Yi, Lijun; Wang, Zhongqing A Legendre-Gauss spectral collocation method for second order nonlinear delay differential equations. (English) Zbl 1324.65108 Numer. Math., Theory Methods Appl. 7, No. 2, 149-178 (2014). MSC: 65L60 65L05 65L70 65L03 34K28 PDFBibTeX XMLCite \textit{L. Yi} and \textit{Z. Wang}, Numer. Math., Theory Methods Appl. 7, No. 2, 149--178 (2014; Zbl 1324.65108) 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
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
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, Tian-Jun; Wang, Zhong-Qing Error analysis of Legendre spectral method with essential imposition of Neumann boundary condition. (English) Zbl 1177.65114 Appl. Numer. Math. 59, No. 10, 2444-2451 (2009). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L10 65L15 PDFBibTeX XMLCite \textit{T.-J. Wang} and \textit{Z.-Q. Wang}, Appl. Numer. Math. 59, No. 10, 2444--2451 (2009; Zbl 1177.65114) 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, Li-Lian; Wang, Zhong-Qing Generalized Laguerre interpolation and pseudospectral method for unbounded domains. (English) Zbl 1116.41002 SIAM J. Numer. Anal. 43, No. 6, 2567-2589 (2006). MSC: 41A05 65N35 33C45 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., SIAM J. Numer. Anal. 43, No. 6, 2567--2589 (2006; Zbl 1116.41002) Full Text: DOI
Wang, Zhong-Qing; Guo, Ben-Yu A mixed spectral method for incompressible viscous fluid flow in an infinite strip. (English) Zbl 1213.65135 Comput. Appl. Math. 24, No. 3, 343-364 (2005). MSC: 65M70 35Q30 41A10 41A20 PDFBibTeX XMLCite \textit{Z.-Q. Wang} and \textit{B.-Y. Guo}, Comput. Appl. Math. 24, No. 3, 343--364 (2005; Zbl 1213.65135) Full Text: Link
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
Guo, Benyu; Wang, Zhongqing Legendre rational approximation on the whole line. (English) Zbl 1084.41006 Sci. China, Ser. A 47, Suppl., 155-164 (2004). Reviewer: Rudolf Wegmann (Garching) MSC: 41A20 41A25 PDFBibTeX XMLCite \textit{B. Guo} and \textit{Z. Wang}, Sci. China, Ser. A 47, 155--164 (2004; Zbl 1084.41006)
Wang, Zhongqing; Wang, Lilian; Guo, Benyu A rational sepctral method for singular differential equations. (English) Zbl 1064.65084 Numer. Math., J. Chin. Univ. 12, No. 2, 121-128 (2003). MSC: 65L60 65L10 34B05 65L06 PDFBibTeX XMLCite \textit{Z. Wang} et al., Numer. Math., J. Chin. Univ. 12, No. 2, 121--128 (2003; Zbl 1064.65084)
Guo, Benyu; Shen, Jie; Wang, Zhongqing A rational approximation and its applications to differential equations on the half line. (English) Zbl 0984.65104 J. Sci. Comput. 15, No. 2, 117-147 (2000). Reviewer: F.Pérez Acosta (La Laguna) MSC: 65M70 41A20 34B05 35K05 65L60 65D05 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Sci. Comput. 15, No. 2, 117--147 (2000; Zbl 0984.65104) Full Text: DOI