Ning, Cui; Kou, Xiaomin; Wang, Yaohong Low-regularity integrator for the Davey-Stewartson II system. (English) Zbl 07812564 J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024). MSC: 65M70 65N35 65M22 65M12 35B65 35Q55 PDFBibTeX XMLCite \textit{C. Ning} et al., J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024; Zbl 07812564) Full Text: DOI
Jia, Junqing; Jiang, Xiaoyun Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity. (English) Zbl 07761546 J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023). MSC: 65-XX 35R11 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{J. Jia} and \textit{X. Jiang}, J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023; Zbl 07761546) Full Text: DOI arXiv
Li, Zhaoxiang; Zhang, Feng; Zhou, Jianxin Partial Newton-correction method for multiple fixed points of semi-linear differential operators by Legendre-Gauss-Lobatto pseudospectral method. (English) Zbl 07751613 J. Sci. Comput. 97, No. 2, Paper No. 32, 21 p. (2023). MSC: 65H10 47H10 65N30 65N35 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Sci. Comput. 97, No. 2, Paper No. 32, 21 p. (2023; Zbl 07751613) Full Text: DOI
Xie, Ruiyi; Wu, Boying; Liu, Wenjie Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces. (English) Zbl 07722591 J. Sci. Comput. 96, No. 3, Paper No. 71, 29 p. (2023). MSC: 65N35 41A10 41A25 41A50 65M60 PDFBibTeX XMLCite \textit{R. Xie} et al., J. Sci. Comput. 96, No. 3, Paper No. 71, 29 p. (2023; Zbl 07722591) Full Text: DOI
Wang, Zhongqing; Wen, Xian; Yao, Guoqing An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries. (English) Zbl 1516.65147 J. Sci. Comput. 95, No. 3, Paper No. 89, 26 p. (2023). MSC: 65N35 41A30 41A25 42C10 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Sci. Comput. 95, No. 3, Paper No. 89, 26 p. (2023; Zbl 1516.65147) Full Text: DOI
Cai, Haotao An efficient spectral-Galerkin method for second kind weakly singular VIEs with highly oscillatory kernels. (English) Zbl 1516.65151 J. Sci. Comput. 95, No. 3, Paper No. 64, 22 p. (2023). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{H. Cai}, J. Sci. Comput. 95, No. 3, Paper No. 64, 22 p. (2023; Zbl 1516.65151) Full Text: DOI
Ma, Zheng; Huang, Chengming Fractional collocation method for third-kind Volterra integral equations with nonsmooth solutions. (English) Zbl 1516.65152 J. Sci. Comput. 95, No. 1, Paper No. 26, 16 p. (2023). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{C. Huang}, J. Sci. Comput. 95, No. 1, Paper No. 26, 16 p. (2023; Zbl 1516.65152) Full Text: DOI
Gu, Yiqi; Shen, Jie A fictitious domain spectral method for solving the Helmholtz equation in exterior domains. (English) Zbl 07698882 J. Sci. Comput. 94, No. 3, Paper No. 46, 27 p. (2023). MSC: 65N35 65N30 65N85 65K10 65N12 65N15 35J05 76Q05 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{J. Shen}, J. Sci. Comput. 94, No. 3, Paper No. 46, 27 p. (2023; Zbl 07698882) Full Text: DOI
Ling, Dan; Mao, Zhiping Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. (English) Zbl 1516.65107 J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 35A01 35A02 35B65 33C45 86A15 35Q86 PDFBibTeX XMLCite \textit{D. Ling} and \textit{Z. Mao}, J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023; Zbl 1516.65107) Full Text: DOI arXiv
Li, Lin; Wang, Li-Lian; Li, Huiyuan An efficient spectral trust-region deflation method for multiple solutions. (English) Zbl 1516.65146 J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023). MSC: 65N35 65N22 65H10 65D05 65L10 42C10 PDFBibTeX XMLCite \textit{L. Li} et al., J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023; Zbl 1516.65146) Full Text: DOI arXiv
Li, Shengyue; Cao, Wanrong On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise. (English) Zbl 07698826 J. Sci. Comput. 94, No. 3, Paper No. 62, 31 p. (2023). MSC: 65Nxx 44Axx 26Axx PDFBibTeX XMLCite \textit{S. Li} and \textit{W. Cao}, J. Sci. Comput. 94, No. 3, Paper No. 62, 31 p. (2023; Zbl 07698826) Full Text: DOI
Zhang, Mingzhu; Yi, Lijun Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. (English) Zbl 1517.65060 J. Sci. Comput. 94, No. 2, Paper No. 31, 41 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65L05 65L60 65L70 65M20 65M60 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{L. Yi}, J. Sci. Comput. 94, No. 2, Paper No. 31, 41 p. (2023; Zbl 1517.65060) Full Text: DOI
Yin, Xu; Cao, Waixiang A class of efficient Hamiltonian conservative spectral methods for Korteweg-de Vries equations. (English) Zbl 1504.65228 J. Sci. Comput. 94, No. 1, Paper No. 10, 29 p. (2023). MSC: 65M70 65N30 65M12 65N12 65M15 35Q53 PDFBibTeX XMLCite \textit{X. Yin} and \textit{W. Cao}, J. Sci. Comput. 94, No. 1, Paper No. 10, 29 p. (2023; Zbl 1504.65228) 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
Cai, Yongyong; Zhou, Xuanxuan Uniformly accurate nested Picard iterative integrators for the Klein-Gordon equation in the nonrelativistic regime. (English) Zbl 1492.35244 J. Sci. Comput. 92, No. 2, Paper No. 53, 28 p. (2022). MSC: 35Q41 65M70 65N35 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{X. Zhou}, J. Sci. Comput. 92, No. 2, Paper No. 53, 28 p. (2022; Zbl 1492.35244) Full Text: DOI
Wang, Tian-jun A new multi-domain spectral method for Korteweg-de Vries equation on the whole line. (English) Zbl 1490.65226 J. Sci. Comput. 92, No. 2, Paper No. 32, 29 p. (2022). MSC: 65M70 41A10 35Q53 76B25 PDFBibTeX XMLCite \textit{T.-j. Wang}, J. Sci. Comput. 92, No. 2, Paper No. 32, 29 p. (2022; Zbl 1490.65226) Full Text: DOI
Fatone, L.; Funaro, D.; Manzini, G. A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. (English) Zbl 1490.65297 J. Sci. Comput. 92, No. 1, Paper No. 3, 30 p. (2022). MSC: 65N35 35Q83 68T05 PDFBibTeX XMLCite \textit{L. Fatone} et al., J. Sci. Comput. 92, No. 1, Paper No. 3, 30 p. (2022; Zbl 1490.65297) Full Text: DOI arXiv
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials. (English) Zbl 1490.65277 J. Sci. Comput. 91, No. 1, Paper No. 22, 35 p. (2022). MSC: 65N30 65N35 PDFBibTeX XMLCite \textit{L. Jia} et al., J. Sci. Comput. 91, No. 1, Paper No. 22, 35 p. (2022; Zbl 1490.65277) Full Text: DOI arXiv
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. (English) Zbl 1490.65249 J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022). MSC: 65N15 65N35 35B25 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022; Zbl 1490.65249) Full Text: DOI
Vismara, Federico; Benacchio, Tommaso; Bonaventura, Luca A seamless, extended DG approach for advection-diffusion problems on unbounded domains. (English) Zbl 1478.65091 J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022). MSC: 65M60 65M06 65N30 65M70 65D32 33C55 76M10 76M22 35Q35 PDFBibTeX XMLCite \textit{F. Vismara} et al., J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022; Zbl 1478.65091) Full Text: DOI arXiv
Deng, Beichuan; Shen, Jie; Zhuang, Qingqu Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. (English) Zbl 1491.65111 J. Sci. Comput. 88, No. 3, Paper No. 69, 24 p. (2021). MSC: 65M70 65M06 65N35 65L06 65D30 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{B. Deng} et al., J. Sci. Comput. 88, No. 3, Paper No. 69, 24 p. (2021; Zbl 1491.65111) Full Text: DOI
Funaro, Daniele; Manzini, Gianmarco Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. (English) Zbl 1486.65193 J. Sci. Comput. 88, No. 1, Paper No. 29, 36 p. (2021). Reviewer: Dana Černá (Liberec) MSC: 65M70 65M06 65N35 65M12 33C45 78A30 82D10 35Q60 35Q83 PDFBibTeX XMLCite \textit{D. Funaro} and \textit{G. Manzini}, J. Sci. Comput. 88, No. 1, Paper No. 29, 36 p. (2021; Zbl 1486.65193) Full Text: DOI arXiv
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
Sheng, Changtao; Cao, Duo; Shen, Jie Efficient spectral methods for PDEs with spectral fractional Laplacian. (English) Zbl 1476.65320 J. Sci. Comput. 88, No. 1, Paper No. 4, 26 p. (2021). MSC: 65N35 26A33 35R11 35S15 41A58 PDFBibTeX XMLCite \textit{C. Sheng} et al., J. Sci. Comput. 88, No. 1, Paper No. 4, 26 p. (2021; Zbl 1476.65320) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. (English) Zbl 1468.65034 J. Sci. Comput. 87, No. 3, Paper No. 77, 30 p. (2021). MSC: 65F15 33C45 PDFBibTeX XMLCite \textit{E. Mainar} et al., J. Sci. Comput. 87, No. 3, Paper No. 77, 30 p. (2021; Zbl 1468.65034) Full Text: DOI
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. (English) Zbl 1465.65154 J. Sci. Comput. 86, No. 3, Paper No. 29, 22 p. (2021). MSC: 65N30 65N35 65N12 35B65 41A10 33C45 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Sci. Comput. 86, No. 3, Paper No. 29, 22 p. (2021; Zbl 1465.65154) Full Text: DOI arXiv
LeFloch, Philippe G.; Ranocha, Hendrik Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. (English) Zbl 1484.65183 J. Sci. Comput. 87, No. 2, Paper No. 55, 38 p. (2021). MSC: 65M06 65M60 65M70 65M12 35L65 35L67 35D30 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{H. Ranocha}, J. Sci. Comput. 87, No. 2, Paper No. 55, 38 p. (2021; Zbl 1484.65183) Full Text: DOI arXiv
Zhang, Qifeng; Liu, Lingling Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers’ equation. (English) Zbl 1468.35178 J. Sci. Comput. 87, No. 2, Paper No. 59, 31 p. (2021). MSC: 35Q53 65M06 65M12 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{L. Liu}, J. Sci. Comput. 87, No. 2, Paper No. 59, 31 p. (2021; Zbl 1468.35178) Full Text: DOI arXiv
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. (English) Zbl 1452.65274 J. Sci. Comput. 85, No. 1, Paper No. 15, 26 p. (2020). MSC: 65M70 65M60 65M06 65D32 33C45 35R11 26A33 PDFBibTeX XMLCite \textit{S. Guo} et al., J. Sci. Comput. 85, No. 1, Paper No. 15, 26 p. (2020; Zbl 1452.65274) Full Text: DOI
Cai, Haotao Legendre-Galerkin methods for third kind VIEs and CVIEs. (English) Zbl 1434.65317 J. Sci. Comput. 83, No. 1, Paper No. 3, 18 p. (2020). MSC: 65R20 45E05 45D05 PDFBibTeX XMLCite \textit{H. Cai}, J. Sci. Comput. 83, No. 1, Paper No. 3, 18 p. (2020; Zbl 1434.65317) Full Text: DOI
Chen, Sheng; Shen, Jie An efficient and accurate numerical method for the spectral fractional Laplacian equation. (English) Zbl 1433.65235 J. Sci. Comput. 82, No. 1, Paper No. 17, 25 p. (2020). MSC: 65M70 65N35 41A05 41A10 41A25 35R11 26A33 PDFBibTeX XMLCite \textit{S. Chen} and \textit{J. Shen}, J. Sci. Comput. 82, No. 1, Paper No. 17, 25 p. (2020; Zbl 1433.65235) Full Text: DOI
Wang, Lina; Yi, Lijun An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays. (English) Zbl 1429.65326 J. Sci. Comput. 81, No. 3, 2303-2330 (2019). MSC: 65R20 65L60 65L05 45D05 45J05 65L70 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Yi}, J. Sci. Comput. 81, No. 3, 2303--2330 (2019; Zbl 1429.65326) Full Text: DOI
Hou, Dianming; Lin, Yumin; Azaiez, Mejdi; Xu, Chuanju A Müntz-collocation spectral method for weakly singular Volterra integral equations. (English) Zbl 1443.65440 J. Sci. Comput. 81, No. 3, 2162-2187 (2019). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 65R20 45D05 41A10 41A25 45E05 PDFBibTeX XMLCite \textit{D. Hou} et al., J. Sci. Comput. 81, No. 3, 2162--2187 (2019; Zbl 1443.65440) Full Text: DOI arXiv
Shen, Jie; Sheng, Chang-Tao An efficient space-time method for time fractional diffusion equation. (English) Zbl 1466.65214 J. Sci. Comput. 81, No. 2, 1088-1110 (2019). MSC: 65N35 26A33 35R11 65N15 PDFBibTeX XMLCite \textit{J. Shen} and \textit{C.-T. Sheng}, J. Sci. Comput. 81, No. 2, 1088--1110 (2019; Zbl 1466.65214) Full Text: DOI
Jiang, Chaolong; Cai, Wenjun; Wang, Yushun A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach. (English) Zbl 1428.65028 J. Sci. Comput. 80, No. 3, 1629-1655 (2019). MSC: 65M12 65M06 35Q53 PDFBibTeX XMLCite \textit{C. Jiang} et al., J. Sci. Comput. 80, No. 3, 1629--1655 (2019; Zbl 1428.65028) Full Text: DOI arXiv
Cai, Haotao A fractional spectral collocation for solving second kind nonlinear Volterra integral equations with weakly singular kernels. (English) Zbl 1436.45002 J. Sci. Comput. 80, No. 3, 1529-1548 (2019). Reviewer: Josef Kofroň (Praha) MSC: 45E05 45D05 65R20 PDFBibTeX XMLCite \textit{H. Cai}, J. Sci. Comput. 80, No. 3, 1529--1548 (2019; Zbl 1436.45002) Full Text: DOI
Hauck, Cory; Heningburg, Vincent Filtered discrete ordinates equations for radiative transport. (English) Zbl 1418.65129 J. Sci. Comput. 80, No. 1, 614-648 (2019). MSC: 65M60 45K05 65R20 82C70 PDFBibTeX XMLCite \textit{C. Hauck} and \textit{V. Heningburg}, J. Sci. Comput. 80, No. 1, 614--648 (2019; Zbl 1418.65129) Full Text: DOI
Wolf, Eric M.; Schrock, Christopher R. Adaptive modal filters based on artificial and spectral viscosity techniques. (English) Zbl 1417.65175 J. Sci. Comput. 78, No. 2, 1132-1151 (2019). MSC: 65M60 65M12 65M20 65L06 35L65 35Q31 42C10 PDFBibTeX XMLCite \textit{E. M. Wolf} and \textit{C. R. Schrock}, J. Sci. Comput. 78, No. 2, 1132--1151 (2019; Zbl 1417.65175) Full Text: DOI
Zhang, Zhongqiang Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation. (English) Zbl 1462.65214 J. Sci. Comput. 78, No. 2, 1087-1110 (2019). MSC: 65N35 65N30 65N12 65N15 35B65 35R11 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Sci. Comput. 78, No. 2, 1087--1110 (2019; Zbl 1462.65214) Full Text: DOI
Laiu, M. Paul; Hauck, Cory D. Positivity limiters for filtered spectral approximations of linear kinetic transport equations. (English) Zbl 1462.35324 J. Sci. Comput. 78, No. 2, 918-950 (2019). MSC: 35Q49 35L02 35B09 41A10 41A25 41A36 42B37 65M70 65M15 82C70 82D75 PDFBibTeX XMLCite \textit{M. P. Laiu} and \textit{C. D. Hauck}, J. Sci. Comput. 78, No. 2, 918--950 (2019; Zbl 1462.35324) Full Text: DOI
Bi, Hai; Han, Jiayu; Yang, Yidu Local and parallel finite element algorithms for the transmission eigenvalue problem. (English) Zbl 1410.65435 J. Sci. Comput. 78, No. 1, 351-375 (2019). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{H. Bi} et al., J. Sci. Comput. 78, No. 1, 351--375 (2019; Zbl 1410.65435) Full Text: DOI
Ma, Suna; Li, Huiyuan; Zhang, Zhimin Efficient spectral methods for some singular eigenvalue problems. (English) Zbl 1407.65311 J. Sci. Comput. 77, No. 1, 657-688 (2018). MSC: 65N35 65N25 35Q40 65M12 PDFBibTeX XMLCite \textit{S. Ma} et al., J. Sci. Comput. 77, No. 1, 657--688 (2018; Zbl 1407.65311) Full Text: DOI
Macías-Díaz, Jorge E. A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation. (English) Zbl 1407.65119 J. Sci. Comput. 77, No. 1, 1-26 (2018). MSC: 65M06 65M12 65Q10 34K37 35R11 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, J. Sci. Comput. 77, No. 1, 1--26 (2018; Zbl 1407.65119) Full Text: DOI
Wang, Yuan-Ming; Ren, Lei High-order compact difference methods for Caputo-type variable coefficient fractional sub-diffusion equations in conservative form. (English) Zbl 1397.65149 J. Sci. Comput. 76, No. 2, 1007-1043 (2018). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{L. Ren}, J. Sci. Comput. 76, No. 2, 1007--1043 (2018; Zbl 1397.65149) Full Text: DOI
Cai, Haotao; Chen, Yanping A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels. (English) Zbl 1391.45002 J. Sci. Comput. 75, No. 2, 970-992 (2018). MSC: 45D05 65R20 PDFBibTeX XMLCite \textit{H. Cai} and \textit{Y. Chen}, J. Sci. Comput. 75, No. 2, 970--992 (2018; Zbl 1391.45002) Full Text: DOI
Shen, Jie; Xu, Jie; Zhang, Pingwen Approximations on \(\mathrm{SO}(3)\) by Wigner D-matrix and applications. (English) Zbl 1398.65321 J. Sci. Comput. 74, No. 3, 1706-1724 (2018). MSC: 65N35 65M70 41A30 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Sci. Comput. 74, No. 3, 1706--1724 (2018; Zbl 1398.65321) Full Text: DOI
Huang, Can; Zhang, Zhimin; Song, Qingshuo Spectral methods for substantial fractional differential equations. (English) Zbl 1398.65317 J. Sci. Comput. 74, No. 3, 1554-1574 (2018). MSC: 65N35 65L60 65M70 41A05 41A30 41A25 PDFBibTeX XMLCite \textit{C. Huang} et al., J. Sci. Comput. 74, No. 3, 1554--1574 (2018; Zbl 1398.65317) Full Text: DOI arXiv
Chen, Sheng; Shen, Jie; Wang, Li-Lian Laguerre functions and their applications to tempered fractional differential equations on infinite intervals. (English) Zbl 1398.65314 J. Sci. Comput. 74, No. 3, 1286-1313 (2018). MSC: 65N35 65E05 65M70 41A05 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Sci. Comput. 74, No. 3, 1286--1313 (2018; Zbl 1398.65314) Full Text: DOI arXiv
Tang, Xiaojun; Shi, Yang; Xu, Heyong Well conditioned pseudospectral schemes with tunable basis for fractional delay differential equations. (English) Zbl 1398.65194 J. Sci. Comput. 74, No. 2, 920-936 (2018). MSC: 65L60 65L03 34A08 34K37 65L05 65L70 PDFBibTeX XMLCite \textit{X. Tang} et al., J. Sci. Comput. 74, No. 2, 920--936 (2018; Zbl 1398.65194) Full Text: DOI
Lu, Changna; Huang, Weizhang; Qiu, Jianxian An adaptive moving mesh finite element solution of the regularized long wave equation. (English) Zbl 1383.65125 J. Sci. Comput. 74, No. 1, 122-144 (2018). MSC: 65M60 35L75 65M50 65M12 PDFBibTeX XMLCite \textit{C. Lu} et al., J. Sci. Comput. 74, No. 1, 122--144 (2018; Zbl 1383.65125) Full Text: DOI arXiv
Khan, Arbaz; Husain, Akhlaq Exponentially accurate spectral element method for fourth order elliptic problems. (English) Zbl 1398.65318 J. Sci. Comput. 71, No. 1, 303-328 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65N35 PDFBibTeX XMLCite \textit{A. Khan} and \textit{A. Husain}, J. Sci. Comput. 71, No. 1, 303--328 (2017; Zbl 1398.65318) Full Text: DOI
Yu, Xu-hong; Guo, Ben-yu Spectral method for vorticity-stream function form of Navier-Stokes equations in an infinite channel with slip boundary conditions. (English) Zbl 1377.41002 J. Sci. Comput. 73, No. 1, 283-302 (2017). MSC: 41A10 65M70 76D05 PDFBibTeX XMLCite \textit{X.-h. Yu} and \textit{B.-y. Guo}, J. Sci. Comput. 73, No. 1, 283--302 (2017; Zbl 1377.41002) Full Text: DOI
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
Wang, Chuan-Li; Wang, Zhong-Qing; Jia, Hong-Li An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels. (English) Zbl 1381.65102 J. Sci. Comput. 72, No. 2, 647-678 (2017). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45D05 45G05 45J05 PDFBibTeX XMLCite \textit{C.-L. Wang} et al., J. Sci. Comput. 72, No. 2, 647--678 (2017; Zbl 1381.65102) Full Text: DOI
Zhang, Chao; Liu, Wenjie; Wang, Li-Lian A new collocation scheme using non-polynomial basis functions. (English) Zbl 1359.65138 J. Sci. Comput. 70, No. 2, 793-818 (2017). MSC: 65L60 65L15 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Sci. Comput. 70, No. 2, 793--818 (2017; Zbl 1359.65138) Full Text: DOI
Li, Xiaocui; Yang, Xiaoyuan; Zhang, Yinghan Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations. (English) Zbl 1383.65107 J. Sci. Comput. 70, No. 2, 500-515 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M15 65M60 35Q30 35R11 65M12 76D05 65M06 PDFBibTeX XMLCite \textit{X. Li} et al., J. Sci. Comput. 70, No. 2, 500--515 (2017; Zbl 1383.65107) Full Text: DOI
Zhang, Jing; Wang, Li-Lian; Li, Huiyuan; Zhang, Zhimin Optimal spectral schemes based on generalized prolate spheroidal wave functions of order \(-1\). (English) Zbl 1359.65139 J. Sci. Comput. 70, No. 2, 451-477 (2017). MSC: 65L60 65L15 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Sci. Comput. 70, No. 2, 451--477 (2017; Zbl 1359.65139) Full Text: DOI
Guo, Ben-yu; Jiao, Yu-jian Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions. (English) Zbl 1457.65143 J. Sci. Comput. 66, No. 3, 1077-1101 (2016). MSC: 65M70 41A10 76D05 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{Y.-j. Jiao}, J. Sci. Comput. 66, No. 3, 1077--1101 (2016; Zbl 1457.65143) Full Text: DOI
Das, Payel; Sahani, Mitali Madhumita; Nelakanti, Gnaneshwar; Long, Guangqing Legendre spectral projection methods for Fredholm-Hammerstein integral equations. (English) Zbl 1348.65180 J. Sci. Comput. 68, No. 1, 213-230 (2016). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 47H30 PDFBibTeX XMLCite \textit{P. Das} et al., J. Sci. Comput. 68, No. 1, 213--230 (2016; Zbl 1348.65180) Full Text: DOI
Wang, Tian-jun A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions. (English) Zbl 1348.65146 J. Sci. Comput. 67, No. 3, 1247-1271 (2016). Reviewer: Dana Černá (Liberec) MSC: 65M70 65N35 35J40 35K35 65M15 65N15 65M12 65N12 PDFBibTeX XMLCite \textit{T.-j. Wang}, J. Sci. Comput. 67, No. 3, 1247--1271 (2016; Zbl 1348.65146) Full Text: DOI
Zhao, Jingjun; Cao, Yang; Xu, Yang Legendre spectral collocation methods for Volterra delay-integro-differential equations. (English) Zbl 1350.65150 J. Sci. Comput. 67, No. 3, 1110-1133 (2016). Reviewer: Neville Ford (Chester) MSC: 65R20 45D05 45G10 45J05 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Sci. Comput. 67, No. 3, 1110--1133 (2016; Zbl 1350.65150) Full Text: DOI
Wu, Shu-Lin Convergence analysis of the parareal-Euler algorithm for systems of ODEs with complex eigenvalues. (English) Zbl 1339.65095 J. Sci. Comput. 67, No. 2, 644-668 (2016). MSC: 65L05 34G10 65L20 65M20 35Q84 PDFBibTeX XMLCite \textit{S.-L. Wu}, J. Sci. Comput. 67, No. 2, 644--668 (2016; Zbl 1339.65095) Full Text: DOI
Cai, Jiaxiang; Wang, Yushun; Gong, Yuezheng Numerical analysis of AVF methods for three-dimensional time-domain Maxwell’s equations. (English) Zbl 1347.78009 J. Sci. Comput. 66, No. 1, 141-176 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 65M12 78M22 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Sci. Comput. 66, No. 1, 141--176 (2016; Zbl 1347.78009) Full Text: DOI
Yu, Xu-hong; Guo, Ben-yu Spectral method for fourth-order problems on quadrilaterals. (English) Zbl 1338.65258 J. Sci. Comput. 66, No. 2, 477-503 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 35J35 35J40 65N15 65N12 PDFBibTeX XMLCite \textit{X.-h. Yu} and \textit{B.-y. Guo}, J. Sci. Comput. 66, No. 2, 477--503 (2016; Zbl 1338.65258) Full Text: DOI
Guo, Ben-yu; Zhang, Chao Generalized Hermite spectral method matching different algebraic decay at infinities. (English) Zbl 1329.41024 J. Sci. Comput. 65, No. 2, 648-671 (2015). MSC: 41A30 34B40 65N35 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{C. Zhang}, J. Sci. Comput. 65, No. 2, 648--671 (2015; Zbl 1329.41024) Full Text: DOI
Huang, Can; Zhang, Zhimin On the spectrum computation of non-oscillatory and highly oscillatory kernel with weak singularity. (English) Zbl 1323.65126 J. Sci. Comput. 63, No. 1, 1-22 (2015). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45C05 PDFBibTeX XMLCite \textit{C. Huang} and \textit{Z. Zhang}, J. Sci. Comput. 63, No. 1, 1--22 (2015; Zbl 1323.65126) Full Text: DOI
Yu, Xu-Hong; Guo, Ben-Yu Spectral element method for mixed inhomogeneous boundary value problems of fourth order. (English) Zbl 1305.65236 J. Sci. Comput. 61, No. 3, 673-701 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 PDFBibTeX XMLCite \textit{X.-H. Yu} and \textit{B.-Y. Guo}, J. Sci. Comput. 61, No. 3, 673--701 (2014; Zbl 1305.65236) Full Text: DOI
Xia, Yinhua Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions. (English) Zbl 1315.76023 J. Sci. Comput. 61, No. 3, 584-603 (2014). Reviewer: Fernando Casas (Castellon) MSC: 76M22 76B25 65M70 PDFBibTeX XMLCite \textit{Y. Xia}, J. Sci. Comput. 61, No. 3, 584--603 (2014; Zbl 1315.76023) Full Text: DOI
Guo, Ben-Yu; Yu, Xu-Hong Composite spectral method for exterior problems with polygonal obstacles. (English) Zbl 1304.65255 J. Sci. Comput. 59, No. 2, 439-472 (2014). MSC: 65N35 35J25 65N55 65N12 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{X.-H. Yu}, J. Sci. Comput. 59, No. 2, 439--472 (2014; Zbl 1304.65255) Full Text: DOI
Guo, Ben-yu; Jiao, Yu-jian Spectral method for Navier-Stokes equations with slip boundary conditions. (English) Zbl 1302.76136 J. Sci. Comput. 58, No. 1, 249-274 (2014). MSC: 76M22 76D05 65M70 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{Y.-j. Jiao}, J. Sci. Comput. 58, No. 1, 249--274 (2014; Zbl 1302.76136) 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
Sun, Tao; Guo, Ben-yu Generalized Jacobi approximation in multiple dimensions and its applications. (English) Zbl 1272.65097 J. Sci. Comput. 55, No. 2, 327-350 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35G15 PDFBibTeX XMLCite \textit{T. Sun} and \textit{B.-y. Guo}, J. Sci. Comput. 55, No. 2, 327--350 (2013; Zbl 1272.65097) Full Text: DOI
Zhang, Chao; Guo, Ben-Yu Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains. (English) Zbl 1273.65183 J. Sci. Comput. 53, No. 2, 451-480 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65N55 35J30 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{B.-Y. Guo}, J. Sci. Comput. 53, No. 2, 451--480 (2012; Zbl 1273.65183) Full Text: DOI
Xie, Ziqing; Li, Xianjuan; Tang, Tao Convergence analysis of spectral Galerkin methods for Volterra type integral equations. (English) Zbl 1273.65200 J. Sci. Comput. 53, No. 2, 414-434 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45A05 45D05 PDFBibTeX XMLCite \textit{Z. Xie} et al., J. Sci. Comput. 53, No. 2, 414--434 (2012; Zbl 1273.65200) Full Text: DOI
Wei, Yunxia; Chen, Yanping Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations. (English) Zbl 1264.65218 J. Sci. Comput. 53, No. 3, 672-688 (2012). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45A05 45D05 45J05 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{Y. Chen}, J. Sci. Comput. 53, No. 3, 672--688 (2012; Zbl 1264.65218) 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
Zhao, Tinggang; Wu, Yujiang; Ma, Heping Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation. (English) Zbl 1255.65185 J. Sci. Comput. 52, No. 3, 588-602 (2012). MSC: 65M70 PDFBibTeX XMLCite \textit{T. Zhao} et al., J. Sci. Comput. 52, No. 3, 588--602 (2012; Zbl 1255.65185) Full Text: DOI
Gottlieb, Sigal; Wang, Cheng Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. (English) Zbl 1297.76126 J. Sci. Comput. 53, No. 1, 102-128 (2012). MSC: 76M22 76D99 65M12 PDFBibTeX XMLCite \textit{S. Gottlieb} and \textit{C. Wang}, J. Sci. Comput. 53, No. 1, 102--128 (2012; Zbl 1297.76126) Full Text: DOI
Guo, Ben-Yu; Wang, Tian-Jun Composite Laguerre-Legendre spectral method for fourth-order exterior problems. (English) Zbl 1203.65265 J. Sci. Comput. 44, No. 3, 255-285 (2010). MSC: 65N35 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{T.-J. Wang}, J. Sci. Comput. 44, No. 3, 255--285 (2010; Zbl 1203.65265) Full Text: DOI
Guo, Ben-Yu; Yi, Yong-Gang Generalized Jacobi rational spectral method and its applications. (English) Zbl 1203.33013 J. Sci. Comput. 43, No. 2, 201-238 (2010). MSC: 33C90 35Q53 41A20 65M70 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{Y.-G. Yi}, J. Sci. Comput. 43, No. 2, 201--238 (2010; Zbl 1203.33013) Full Text: DOI
Zhuang, Qingqu; Shen, Jie; Xu, Chuanju A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains. (English) Zbl 1203.76090 J. Sci. Comput. 42, No. 1, 1-22 (2010). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{Q. Zhuang} et al., J. Sci. Comput. 42, No. 1, 1--22 (2010; Zbl 1203.76090) Full Text: DOI
Wang, Zhong-Qing; Wang, Li-Lian A collocation method with exact imposition of mixed boundary conditions. (English) Zbl 1203.65052 J. Sci. Comput. 42, No. 2, 291-317 (2010). MSC: 65D30 65L60 65N35 PDFBibTeX XMLCite \textit{Z.-Q. Wang} and \textit{L.-L. Wang}, J. Sci. Comput. 42, No. 2, 291--317 (2010; Zbl 1203.65052) Full Text: DOI
Shen, Ting-Ting; Zhang, Zhong-Qiang; Ma, He-Ping Optimal error estimates of the Legendre tau method for second-order differential equations. (English) Zbl 1203.65118 J. Sci. Comput. 42, No. 2, 198-215 (2010). MSC: 65L60 65L70 65M15 65M70 PDFBibTeX XMLCite \textit{T.-T. Shen} et al., J. Sci. Comput. 42, No. 2, 198--215 (2010; Zbl 1203.65118) Full Text: DOI
He, Li-Ping Error estimation of a class of stable spectral approximation to the Cahn-Hilliard equation. (English) Zbl 1203.65197 J. Sci. Comput. 41, No. 3, 461-482 (2009). MSC: 65M70 35A35 35D30 35K55 35P10 PDFBibTeX XMLCite \textit{L.-P. He}, J. Sci. Comput. 41, No. 3, 461--482 (2009; Zbl 1203.65197) Full Text: DOI
Zhang, Rong; Wang, Zhong-Qing; Guo, Ben-Yu Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions. (English) Zbl 1203.65271 J. Sci. Comput. 36, No. 2, 263-283 (2008). MSC: 65N35 PDFBibTeX XMLCite \textit{R. Zhang} et al., J. Sci. Comput. 36, No. 2, 263--283 (2008; Zbl 1203.65271) Full Text: DOI
Black, Kelly; Geddes, John B. Complex valued spectral Hermite approximations for the actively mode-locked laser. (English) Zbl 1121.78010 J. Sci. Comput. 32, No. 3, 427-448 (2007). MSC: 78A60 78M25 78M10 PDFBibTeX XMLCite \textit{K. Black} and \textit{J. B. Geddes}, J. Sci. Comput. 32, No. 3, 427--448 (2007; Zbl 1121.78010) Full Text: DOI
Zhang, Xiaoyong; Guo, Benyu Spherical harmonic-generalized Laguerre spectral method for exterior problems. (English) Zbl 1099.76048 J. Sci. Comput. 27, No. 1-3, 523-537 (2006). MSC: 76M22 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{B. Guo}, J. Sci. Comput. 27, No. 1--3, 523--537 (2006; Zbl 1099.76048) Full Text: DOI
Guo, Benyu; Shen, Jie; Wang, Li-Lian Optimal spectral-Galerkin methods using generalized Jacobi polynomials. (English) Zbl 1102.76047 J. Sci. Comput. 27, No. 1-3, 305-322 (2006). MSC: 76M22 76B15 76B25 33C45 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Sci. Comput. 27, No. 1--3, 305--322 (2006; Zbl 1102.76047) Full Text: DOI
Pasquetti, Richard Spectral vanishing viscosity method for large eddy simulation of turbulent flows. (English) Zbl 1101.76028 J. Sci. Comput. 27, No. 1-3, 365-375 (2006). MSC: 76F65 76M22 PDFBibTeX XMLCite \textit{R. Pasquetti}, J. Sci. Comput. 27, No. 1--3, 365--375 (2006; Zbl 1101.76028) Full Text: DOI
Wang, Li-Lian; Shen, Jie Error analysis for mapped Jacobi spectral methods. (English) Zbl 1082.65091 J. Sci. Comput. 24, No. 2, 183-218 (2005). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M15 65M70 65L70 65L10 PDFBibTeX XMLCite \textit{L.-L. Wang} and \textit{J. Shen}, J. Sci. Comput. 24, No. 2, 183--218 (2005; Zbl 1082.65091) Full Text: DOI