Li, Hongwei; Yang, Yuna; Li, Xiangkun An efficient linearly implicit and energy-conservative scheme for two dimensional Klein-Gordon-Schrödinger equations. (English) Zbl 07798416 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23064, 28 p. (2024). MSC: 65L07 35Q55 PDFBibTeX XMLCite \textit{H. Li} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23064, 28 p. (2024; Zbl 07798416) Full Text: DOI
Peng, Shanshan; Li, Meng; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. (English) Zbl 07779728 Numer. Methods Partial Differ. Equations 39, No. 1, 716-743 (2023). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35K57 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{S. Peng} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 716--743 (2023; Zbl 07779728) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. (English) Zbl 07779725 Numer. Methods Partial Differ. Equations 39, No. 1, 657-677 (2023). MSC: 65M06 65N35 65T50 65M12 65M15 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Jiang}, Numer. Methods Partial Differ. Equations 39, No. 1, 657--677 (2023; Zbl 07779725) Full Text: DOI
Guo, Feng; Dai, Weizhong Arbitrarily high-order accurate and energy-stable schemes for solving the conservative Allen-Cahn equation. (English) Zbl 07779705 Numer. Methods Partial Differ. Equations 39, No. 1, 187-212 (2023). MSC: 65M70 65L06 65N35 65D32 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Numer. Methods Partial Differ. Equations 39, No. 1, 187--212 (2023; Zbl 07779705) Full Text: DOI
Zhou, Quan; Sun, Yabing Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation. (English) Zbl 07777388 Numer. Methods Partial Differ. Equations 39, No. 5, 4030-4058 (2023). MSC: 65M70 65N35 65M06 65L06 35B65 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Q. Zhou} and \textit{Y. Sun}, Numer. Methods Partial Differ. Equations 39, No. 5, 4030--4058 (2023; Zbl 07777388) Full Text: DOI
Cheng, Kelong; Wang, Cheng; Wise, Steven M. High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. (English) Zbl 07777387 Numer. Methods Partial Differ. Equations 39, No. 5, 4007-4029 (2023). MSC: 65M70 65M06 65N35 35B65 41A21 31A30 35Q74 PDFBibTeX XMLCite \textit{K. Cheng} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 4007--4029 (2023; Zbl 07777387) Full Text: DOI
Zheng, Zhoushun; He, Jilong; Du, Changfa; Ye, Zhijian Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations. (English) Zbl 07777385 Numer. Methods Partial Differ. Equations 39, No. 5, 3964-3986 (2023). MSC: 65M70 65M06 65N35 65D12 35B50 35B44 80A25 35Q79 PDFBibTeX XMLCite \textit{Z. Zheng} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3964--3986 (2023; Zbl 07777385) Full Text: DOI
Xie, Yingying; Cao, Shuhao; Chen, Long; Zhong, Liuqiang Convergence and optimality of an adaptive modified weak Galerkin finite element method. (English) Zbl 07777380 Numer. Methods Partial Differ. Equations 39, No. 5, 3847-3873 (2023). MSC: 65N30 65N50 65N12 65N15 35Q35 PDFBibTeX XMLCite \textit{Y. Xie} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3847--3873 (2023; Zbl 07777380) Full Text: DOI arXiv
Yim, Jaeryun; Sheen, Dongwoo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. I: Fundamental results on dimensions, bases, solvers, and error analysis. (English) Zbl 07777376 Numer. Methods Partial Differ. Equations 39, No. 5, 3725-3753 (2023). MSC: 65N30 65N15 65F20 65F55 65F10 15A09 PDFBibTeX XMLCite \textit{J. Yim} and \textit{D. Sheen}, Numer. Methods Partial Differ. Equations 39, No. 5, 3725--3753 (2023; Zbl 07777376) Full Text: DOI arXiv
Zhang, Qian; Xu, Yan; Liu, Yue A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations. (English) Zbl 07777371 Numer. Methods Partial Differ. Equations 39, No. 5, 3609-3633 (2023). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3609--3633 (2023; Zbl 07777371) Full Text: DOI
Li, Jiyong; Jin, Xiaoqian Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. (English) Zbl 07777359 Numer. Methods Partial Differ. Equations 39, No. 4, 3375-3416 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B05 35B65 81V05 81Q05 35Q41 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Jin}, Numer. Methods Partial Differ. Equations 39, No. 4, 3375--3416 (2023; Zbl 07777359) Full Text: DOI
Du, Binbin; Huang, Jianguo; Al Mahbub, Md. Abdullah; Zheng, Haibiao Two-level methods based on the Arrow-Hurwicz iteration for the steady incompressible magnetohydrodynamic system. (English) Zbl 07777357 Numer. Methods Partial Differ. Equations 39, No. 4, 3332-3355 (2023). MSC: 65N30 65N22 65N12 65N15 65H10 65N50 65F05 76W05 76M10 35Q35 PDFBibTeX XMLCite \textit{B. Du} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3332--3355 (2023; Zbl 07777357) Full Text: DOI
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. (English) Zbl 07777356 Numer. Methods Partial Differ. Equations 39, No. 4, 3309-3331 (2023). MSC: 65N30 65N15 65D30 65F10 65F05 35B27 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Yim} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3309--3331 (2023; Zbl 07777356) Full Text: DOI arXiv
Cao, Jiliang; Xiao, Aiguo; Bu, Weiping A fast Alikhanov algorithm with general nonuniform time steps for a two-dimensional distributed-order time-space fractional advection-dispersion equation. (English) Zbl 07777339 Numer. Methods Partial Differ. Equations 39, No. 4, 2885-2908 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Cao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2885--2908 (2023; Zbl 07777339) Full Text: DOI
Hu, Hanzhang \(L^p\) error estimate of nonlinear Schrödinger equation using a two-grid finite element method. (English) Zbl 07777338 Numer. Methods Partial Differ. Equations 39, No. 4, 2865-2884 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Hu}, Numer. Methods Partial Differ. Equations 39, No. 4, 2865--2884 (2023; Zbl 07777338) Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Spectral approximation for optimal control problems governed by first bi-harmonic equation. (English) Zbl 07777335 Numer. Methods Partial Differ. Equations 39, No. 4, 2808-2822 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Lin} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2808--2822 (2023; Zbl 07777335) Full Text: DOI
Lan, Bin; Li, Haiyan; Dong, Jianqiang Positivity-preserving scheme without separated method for 2D convection-diffusion equations on polygonal meshes. (English) Zbl 07777006 Numer. Methods Partial Differ. Equations 39, No. 3, 2270-2283 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Lan} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2270--2283 (2023; Zbl 07777006) Full Text: DOI
Wang, Xiuping; Gao, Fuzheng; Cui, Jintao; Sun, Zhengjia A weak Galerkin finite element method for Allen-Cahn equation with a nonuniform two-step backward differentiation formula scheme. (English) Zbl 07777004 Numer. Methods Partial Differ. Equations 39, No. 3, 2227-2243 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2227--2243 (2023; Zbl 07777004) Full Text: DOI
Ma, Jie; Gao, Fuzheng; Du, Ning A stabilizer-free weak Galerkin finite element method to variable-order time fractional diffusion equation in multiple space dimensions. (English) Zbl 07776999 Numer. Methods Partial Differ. Equations 39, No. 3, 2096-2114 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Ma} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2096--2114 (2023; Zbl 07776999) Full Text: DOI
Yang, Xu; Zhao, Weidong; Zhao, Wenju Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear SPDEs. (English) Zbl 07776998 Numer. Methods Partial Differ. Equations 39, No. 3, 2073-2095 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2073--2095 (2023; Zbl 07776998) Full Text: DOI
Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo Displacement-pseudostress formulation for the linear elasticity spectral problem. (English) Zbl 07776995 Numer. Methods Partial Differ. Equations 39, No. 3, 1996-2017 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Inzunza} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1996--2017 (2023; Zbl 07776995) Full Text: DOI arXiv
Zhang, Ruming Numerical methods for scattering problems from multi-layers with different periodicities. (English) Zbl 07776983 Numer. Methods Partial Differ. Equations 39, No. 2, 1778-1798 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Zhang}, Numer. Methods Partial Differ. Equations 39, No. 2, 1778--1798 (2023; Zbl 07776983) Full Text: DOI arXiv OA License
Song, Mingzhan; Song, Songhe; Zhang, Wei; You, Jingwei; Qian, Xu Conformal structure-preserving schemes for damped-driven stochastic nonlinear Schrödinger equation with multiplicative noise. (English) Zbl 07776980 Numer. Methods Partial Differ. Equations 39, No. 2, 1706-1728 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Song} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1706--1728 (2023; Zbl 07776980) Full Text: DOI
Jiang, Chaolong; Cui, Jin; Cai, Wenjun; Wang, Yushun A novel linearized and momentum-preserving Fourier pseudo-spectral scheme for the Rosenau-Korteweg de Vries equation. (English) Zbl 07776974 Numer. Methods Partial Differ. Equations 39, No. 2, 1558-1582 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{C. Jiang} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1558--1582 (2023; Zbl 07776974) Full Text: DOI arXiv
Zefzouf, Meriem; Marche, Fabien A new symmetric interior penalty discontinuous Galerkin formulation for the Serre-Green-Naghdi equations. (English) Zbl 07776971 Numer. Methods Partial Differ. Equations 39, No. 2, 1478-1503 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Zefzouf} and \textit{F. Marche}, Numer. Methods Partial Differ. Equations 39, No. 2, 1478--1503 (2023; Zbl 07776971) Full Text: DOI
Wang, Danxia; Li, Yanan; Jia, Hongen A two-grid finite element method for the Allen-Cahn equation with the logarithmic potential. (English) Zbl 07776961 Numer. Methods Partial Differ. Equations 39, No. 2, 1251-1265 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1251--1265 (2023; Zbl 07776961) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. (English) Zbl 07769130 Numer. Methods Partial Differ. Equations 39, No. 6, 4549-4574 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4549--4574 (2023; Zbl 07769130) Full Text: DOI
Li, Liang; Wang, Zhenming; Zhao, Zhong; Zhu, Jun A new high order hybrid WENO scheme for hyperbolic conservation laws. (English) Zbl 07769120 Numer. Methods Partial Differ. Equations 39, No. 6, 4347-4376 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4347--4376 (2023; Zbl 07769120) Full Text: DOI
Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V. Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. (English) Zbl 07769119 Numer. Methods Partial Differ. Equations 39, No. 6, 4317-4346 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Chu} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4317--4346 (2023; Zbl 07769119) Full Text: DOI arXiv
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne Virtual element method for elliptic bulk-surface PDEs in three space dimensions. (English) Zbl 07769115 Numer. Methods Partial Differ. Equations 39, No. 6, 4221-4247 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Frittelli} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4221--4247 (2023; Zbl 07769115) Full Text: DOI arXiv OA License
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations. (English) Zbl 07769114 Numer. Methods Partial Differ. Equations 39, No. 6, 4196-4220 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chu} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4196--4220 (2023; Zbl 07769114) Full Text: DOI
Tran, Hoang; Webster, Clayton Analysis of sparse recovery for Legendre expansions using envelope bound. (English) Zbl 07779695 Numer. Methods Partial Differ. Equations 38, No. 6, 2163-2198 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{H. Tran} and \textit{C. Webster}, Numer. Methods Partial Differ. Equations 38, No. 6, 2163--2198 (2022; Zbl 07779695) Full Text: DOI arXiv
Zhao, Wenju Higher order weak Galerkin methods for the Navier-Stokes equations with large Reynolds number. (English) Zbl 07779687 Numer. Methods Partial Differ. Equations 38, No. 6, 1967-1992 (2022). MSC: 65M60 65M06 65N30 65H10 76D05 76D10 76D17 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{W. Zhao}, Numer. Methods Partial Differ. Equations 38, No. 6, 1967--1992 (2022; Zbl 07779687) Full Text: DOI
Yu, Xiaoxuan; Xu, Yan; Du, Qiang Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon. (English) Zbl 07779686 Numer. Methods Partial Differ. Equations 38, No. 6, 1948-1966 (2022). MSC: 65M60 65M06 65N30 65M12 41A58 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1948--1966 (2022; Zbl 07779686) Full Text: DOI
Bornia, Giorgio; Chierici, Andrea; Chirco, Leonardo; Giovacchini, Valentina; Manservisi, Sandro A multigrid local smoother approach for a domain decomposition solver over non-matching grids. (English) Zbl 07779679 Numer. Methods Partial Differ. Equations 38, No. 6, 1794-1822 (2022). MSC: 65N55 65N50 65N30 65N12 65Y05 65Y10 PDFBibTeX XMLCite \textit{G. Bornia} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1794--1822 (2022; Zbl 07779679) Full Text: DOI
Guo, Liming; Chen, Wenbin Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem. (English) Zbl 07779675 Numer. Methods Partial Differ. Equations 38, No. 6, 1684-1712 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{L. Guo} and \textit{W. Chen}, Numer. Methods Partial Differ. Equations 38, No. 6, 1684--1712 (2022; Zbl 07779675) Full Text: DOI
Gao, Yali; He, Xiaoming; Nie, Yufeng Second-order, fully decoupled, linearized, and unconditionally stable scalar auxiliary variable schemes for Cahn-Hilliard-Darcy system. (English) Zbl 07779674 Numer. Methods Partial Differ. Equations 38, No. 6, 1658-1683 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76T06 76S05 76D27 35R09 35Q35 PDFBibTeX XMLCite \textit{Y. Gao} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1658--1683 (2022; Zbl 07779674) Full Text: DOI
Jiang, Kun; Ju, Lili; Li, Jingwei; Li, Xiao Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects. (English) Zbl 07779673 Numer. Methods Partial Differ. Equations 38, No. 6, 1636-1657 (2022). MSC: 65M06 65N06 65L06 65N30 65M12 65M15 35B50 35B65 35Q53 PDFBibTeX XMLCite \textit{K. Jiang} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1636--1657 (2022; Zbl 07779673) Full Text: DOI arXiv
Abedian, Rooholah; Dehghan, Mehdi A high-order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations. (English) Zbl 07778281 Numer. Methods Partial Differ. Equations 38, No. 4, 970-996 (2022). MSC: 65M06 65N06 65L06 65M12 35B65 35K65 35K55 PDFBibTeX XMLCite \textit{R. Abedian} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 38, No. 4, 970--996 (2022; Zbl 07778281) Full Text: DOI
Pei, Shuaichao; Hou, Yanren; Yan, Wenjing Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential. (English) Zbl 07775895 Numer. Methods Partial Differ. Equations 38, No. 1, 65-101 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Pei} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 65--101 (2022; Zbl 07775895) Full Text: DOI
Hu, Hongling; Jin, Xianlin; He, Dongdong; Pan, Kejia; Zhang, Qifeng A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equations. (English) Zbl 07775892 Numer. Methods Partial Differ. Equations 38, No. 1, 4-32 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Hu} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 4--32 (2022; Zbl 07775892) Full Text: DOI arXiv
Feng, Yue Long time error analysis of the fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation with weak nonlinearity. (English) Zbl 07777728 Numer. Methods Partial Differ. Equations 37, No. 1, 897-914 (2021). MSC: 65M06 65N06 65M15 65N50 65M50 35B05 35Q35 35Q55 PDFBibTeX XMLCite \textit{Y. Feng}, Numer. Methods Partial Differ. Equations 37, No. 1, 897--914 (2021; Zbl 07777728) Full Text: DOI arXiv
Wang, Haifeng; Xu, Da; Zhou, Jun; Guo, Jing Weak Galerkin finite element method for a class of time fractional generalized Burgers’ equation. (English) Zbl 07777719 Numer. Methods Partial Differ. Equations 37, No. 1, 732-749 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35B65 35A01 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{H. Wang} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 732--749 (2021; Zbl 07777719) Full Text: DOI
Zhou, Zhongguo; Gu, Jingwen; Li, Lin; Pan, Hao; Wang, Yan The unconditional stability and mass-preserving S-DDM scheme for solving parabolic equations in three dimensions. (English) Zbl 07777707 Numer. Methods Partial Differ. Equations 37, No. 1, 479-504 (2021). MSC: 65M55 65M06 65N06 65M12 65M15 65Y05 35K20 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 479--504 (2021; Zbl 07777707) Full Text: DOI
Xu, Fei; Huang, Qiumei; Ma, Hongkun A new type of full multigrid method for the elasticity eigenvalue problem. (English) Zbl 07777705 Numer. Methods Partial Differ. Equations 37, No. 1, 444-461 (2021). MSC: 65N30 65N35 65N25 65N55 65N50 74H15 74B10 65Y05 74S05 35Q74 PDFBibTeX XMLCite \textit{F. Xu} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 444--461 (2021; Zbl 07777705) Full Text: DOI
He, Xuefei; Wang, Kun Efficient approximation algorithm for the Schrödinger-Possion system. (English) Zbl 07777704 Numer. Methods Partial Differ. Equations 37, No. 1, 422-443 (2021). MSC: 65N06 65N50 65N12 78A35 82D37 35B05 35B25 PDFBibTeX XMLCite \textit{X. He} and \textit{K. Wang}, Numer. Methods Partial Differ. Equations 37, No. 1, 422--443 (2021; Zbl 07777704) Full Text: DOI
Khaled-Abad, Leila Jafarian; Salehi, Rezvan Numerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction-diffusion systems. (English) Zbl 07777699 Numer. Methods Partial Differ. Equations 37, No. 1, 302-340 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35B36 80A32 PDFBibTeX XMLCite \textit{L. J. Khaled-Abad} and \textit{R. Salehi}, Numer. Methods Partial Differ. Equations 37, No. 1, 302--340 (2021; Zbl 07777699) Full Text: DOI
Li, Lan; An, Jing An efficient spectral method and rigorous error analysis based on dimension reduction scheme for fourth order problems. (English) Zbl 07777693 Numer. Methods Partial Differ. Equations 37, No. 1, 152-171 (2021). MSC: 65N35 65N12 65N15 35Q35 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. An}, Numer. Methods Partial Differ. Equations 37, No. 1, 152--171 (2021; Zbl 07777693) Full Text: DOI
Liu, Zhengguang; Li, Xiaoli; Huang, Jian Accurate and efficient algorithms with unconditional energy stability for the time fractional Cahn-Hilliard and Allen-Cahn equations. (English) Zbl 07776088 Numer. Methods Partial Differ. Equations 37, No. 3, 2613-2633 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Liu} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2613--2633 (2021; Zbl 07776088) Full Text: DOI
Dong, Haixia; Ying, Wenjun; Zhang, Jiwei Sharp error estimates of a fourth-order compact scheme for a Poisson interface problem. (English) Zbl 07776076 Numer. Methods Partial Differ. Equations 37, No. 3, 2393-2408 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Dong} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2393--2408 (2021; Zbl 07776076) Full Text: DOI
Liu, Bijin; Yu, Ching-Hao; An, Ruidong An optimized compact reconstruction weighted essentially non-oscillatory scheme for advection problems. (English) Zbl 07776073 Numer. Methods Partial Differ. Equations 37, No. 3, 2317-2356 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Liu} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2317--2356 (2021; Zbl 07776073) Full Text: DOI
Wang, Saihua; Wang, Feng; Xu, Xuejun A robust multigrid method for one dimensional immersed finite element method. (English) Zbl 07776069 Numer. Methods Partial Differ. Equations 37, No. 3, 2244-2260 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Wang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2244--2260 (2021; Zbl 07776069) Full Text: DOI
Zhang, Teng; Wang, Tingchun Optimal error estimates of fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation in the nonrelativistic regime. (English) Zbl 07776061 Numer. Methods Partial Differ. Equations 37, No. 3, 2089-2108 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Zhang} and \textit{T. Wang}, Numer. Methods Partial Differ. Equations 37, No. 3, 2089--2108 (2021; Zbl 07776061) Full Text: DOI
Zhang, Jiali; Huang, Jizu; Wang, Kun; Wang, Xin Error estimate on the tanh meshes for the time fractional diffusion equation. (English) Zbl 07776059 Numer. Methods Partial Differ. Equations 37, No. 3, 2046-2066 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2046--2066 (2021; Zbl 07776059) Full Text: DOI
Sun, Hong; Cao, Wanrong A fast temporal second-order difference scheme for the time-fractional subdiffusion equation. (English) Zbl 07776047 Numer. Methods Partial Differ. Equations 37, No. 3, 1825-1846 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Sun} and \textit{W. Cao}, Numer. Methods Partial Differ. Equations 37, No. 3, 1825--1846 (2021; Zbl 07776047) Full Text: DOI
Mittal, Avinash K.; Shrivastava, Parnika; Panda, Manoj K. Time-space Jacobi pseudospectral simulation of multidimensional Schrödinger equation. (English) Zbl 07776040 Numer. Methods Partial Differ. Equations 37, No. 2, 1725-1751 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. K. Mittal} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1725--1751 (2021; Zbl 07776040) Full Text: DOI
Xu, Zhuangzhi; Cai, Wenjun; Jiang, Chaolong; Wang, Yushun On the \(L^\infty\) convergence of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation. (English) Zbl 07776034 Numer. Methods Partial Differ. Equations 37, No. 2, 1591-1611 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Xu} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1591--1611 (2021; Zbl 07776034) Full Text: DOI arXiv
Zhang, Haixiang; Yang, Xuehua; Xu, Da Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution. (English) Zbl 07776018 Numer. Methods Partial Differ. Equations 37, No. 2, 1361-1373 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1361--1373 (2021; Zbl 07776018) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Yong-Liang; Lyu, Pin; Carpentieri, Bruno A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients. (English) Zbl 07776007 Numer. Methods Partial Differ. Equations 37, No. 2, 1136-1162 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1136--1162 (2021; Zbl 07776007) Full Text: DOI arXiv
Wang, Junjie Symplectic-preserving Fourier spectral scheme for space fractional Klein-Gordon-Schrödinger equations. (English) Zbl 07776001 Numer. Methods Partial Differ. Equations 37, No. 2, 1030-1056 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Wang}, Numer. Methods Partial Differ. Equations 37, No. 2, 1030--1056 (2021; Zbl 07776001) Full Text: DOI
Huo, Xiaokai; Liu, Hailiang A positivity-preserving and energy stable scheme for a quantum diffusion equation. (English) Zbl 07775887 Numer. Methods Partial Differ. Equations 37, No. 6, 2973-2999 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Huo} and \textit{H. Liu}, Numer. Methods Partial Differ. Equations 37, No. 6, 2973--2999 (2021; Zbl 07775887) Full Text: DOI arXiv OA License
Liu, Yang; Liu, Nan; Li, Hong; Wang, Jinfeng Fast calculation based on a spatial two-grid finite element algorithm for a nonlinear space-time fractional diffusion model. (English) Zbl 07777678 Numer. Methods Partial Differ. Equations 36, No. 6, 1904-1921 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1904--1921 (2020; Zbl 07777678) Full Text: DOI
Zheng, Huan; Yuan, Guangwei; Cui, Xia A second-order space-time accurate scheme for nonlinear diffusion equation with general capacity term. (English) Zbl 07777676 Numer. Methods Partial Differ. Equations 36, No. 6, 1845-1867 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Zheng} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1845--1867 (2020; Zbl 07777676) Full Text: DOI
Wang, Bin; Wu, Xinyuan Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation. (English) Zbl 07777670 Numer. Methods Partial Differ. Equations 36, No. 6, 1735-1757 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Numer. Methods Partial Differ. Equations 36, No. 6, 1735--1757 (2020; Zbl 07777670) Full Text: DOI
Zhang, Jiachuan; Li, Jingshi; Li, Jingzhi; Zhang, Kai An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem. (English) Zbl 07777648 Numer. Methods Partial Differ. Equations 36, No. 6, 1280-1303 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1280--1303 (2020; Zbl 07777648) Full Text: DOI
Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes. (English) Zbl 07771429 Numer. Methods Partial Differ. Equations 36, No. 5, 1098-1128 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Goudon} et al., Numer. Methods Partial Differ. Equations 36, No. 5, 1098--1128 (2020; Zbl 07771429) Full Text: DOI
Brito-Loeza, Carlos; Legarda-Saenz, Ricardo; Martin-Gonzalez, Anabel A fast algorithm for a total variation based phase demodulation model. (English) Zbl 07771406 Numer. Methods Partial Differ. Equations 36, No. 3, 617-636 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{C. Brito-Loeza} et al., Numer. Methods Partial Differ. Equations 36, No. 3, 617--636 (2020; Zbl 07771406) Full Text: DOI
Lyu, Pin; Vong, Seakweng A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin-Bona-Mahony-type equation with nonsmooth solutions. (English) Zbl 07771404 Numer. Methods Partial Differ. Equations 36, No. 3, 579-600 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, Numer. Methods Partial Differ. Equations 36, No. 3, 579--600 (2020; Zbl 07771404) Full Text: DOI
Liu, Yujie; Wang, Junping A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions. (English) Zbl 07771403 Numer. Methods Partial Differ. Equations 36, No. 3, 552-578 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Wang}, Numer. Methods Partial Differ. Equations 36, No. 3, 552--578 (2020; Zbl 07771403) Full Text: DOI arXiv
Hong, Qi; Wang, Yushun; Gong, Yuezheng Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation. (English) Zbl 07771396 Numer. Methods Partial Differ. Equations 36, No. 2, 394-417 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Q. Hong} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 394--417 (2020; Zbl 07771396) Full Text: DOI arXiv
Ren, Jincheng; Shi, Dongyang; Vong, Seakweng High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation. (English) Zbl 07771391 Numer. Methods Partial Differ. Equations 36, No. 2, 284-301 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Ren} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 284--301 (2020; Zbl 07771391) Full Text: DOI
Al-Taweel, Ahmed; Hussain, Saqib; Wang, Xiaoshen; Jones, Brian A \(P_0\)-\(P_0\) weak Galerkin finite element method for solving singularly perturbed reaction-diffusion problems. (English) Zbl 07771387 Numer. Methods Partial Differ. Equations 36, No. 2, 213-227 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Al-Taweel} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 213--227 (2020; Zbl 07771387) Full Text: DOI
Rahimkhani, Parisa; Ordokhani, Yadollah A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions. (English) Zbl 1415.65237 Numer. Methods Partial Differ. Equations 35, No. 1, 34-59 (2019). MSC: 65M70 65T60 65H10 35R11 65M15 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, Numer. Methods Partial Differ. Equations 35, No. 1, 34--59 (2019; Zbl 1415.65237) Full Text: DOI
Jiang, Yi; Liu, Hailiang An invariant-region-preserving limiter for DG schemes to isentropic Euler equations. (English) Zbl 1416.76153 Numer. Methods Partial Differ. Equations 35, No. 1, 5-33 (2019). MSC: 76M12 65M08 65M60 65L06 35Q31 35L65 76N15 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{H. Liu}, Numer. Methods Partial Differ. Equations 35, No. 1, 5--33 (2019; Zbl 1416.76153) Full Text: DOI arXiv
Hsieh, Po-Wen; Yang, Suh-Yuh; You, Cheng-Shu A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations. (English) Zbl 1383.65132 Numer. Methods Partial Differ. Equations 34, No. 1, 121-144 (2018). MSC: 65N06 35J25 35B25 76W05 76M20 65N12 PDFBibTeX XMLCite \textit{P.-W. Hsieh} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 121--144 (2018; Zbl 1383.65132) Full Text: DOI
Huang, Yunqing; Li, Jichun; Li, Dan Developing weak Galerkin finite element methods for the wave equation. (English) Zbl 1377.65129 Numer. Methods Partial Differ. Equations 33, No. 3, 868-884 (2017). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M60 65M12 65M15 65M20 35L05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 868--884 (2017; Zbl 1377.65129) Full Text: DOI
Li, Wanshan; Liang, Dong; Lin, Yanping Global energy-tracking identities and global energy-tracking splitting FDTD schemes for the Drude models of Maxwell’s equations in three-dimensional metamaterials. (English) Zbl 1381.78013 Numer. Methods Partial Differ. Equations 33, No. 3, 763-785 (2017). Reviewer: Jichun Li (Las Vegas) MSC: 78M20 35Q60 78A25 PDFBibTeX XMLCite \textit{W. Li} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 763--785 (2017; Zbl 1381.78013) Full Text: DOI
Huang, Chieh-Sen; Arbogast, Todd An Eulerian-Lagrangian weighted essentially nonoscillatory scheme for nonlinear conservation laws. (English) Zbl 1367.65124 Numer. Methods Partial Differ. Equations 33, No. 3, 651-680 (2017). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{C.-S. Huang} and \textit{T. Arbogast}, Numer. Methods Partial Differ. Equations 33, No. 3, 651--680 (2017; Zbl 1367.65124) Full Text: DOI
Ji, Haifeng; Wang, Feng; Chen, Jinru Unfitted finite element methods for the heat conduction in composite media with contact resistance. (English) Zbl 1365.65223 Numer. Methods Partial Differ. Equations 33, No. 1, 354-380 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65M60 35K05 65M50 PDFBibTeX XMLCite \textit{H. Ji} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 354--380 (2017; Zbl 1365.65223) Full Text: DOI
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. (English) Zbl 1361.65061 Numer. Methods Partial Differ. Equations 33, No. 1, 290-317 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M12 65M60 35K20 65M15 PDFBibTeX XMLCite \textit{W. Cao} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 290--317 (2017; Zbl 1361.65061) Full Text: DOI
Thomann, Andrea; Borzì, Alfio Stability and accuracy of a pseudospectral scheme for the Wigner function equation. (English) Zbl 1365.65231 Numer. Methods Partial Differ. Equations 33, No. 1, 62-87 (2017). Reviewer: Michael Jung (Dresden) MSC: 65M70 65M12 65M06 35G31 PDFBibTeX XMLCite \textit{A. Thomann} and \textit{A. Borzì}, Numer. Methods Partial Differ. Equations 33, No. 1, 62--87 (2017; Zbl 1365.65231) Full Text: DOI
Li, Haochen; Wang, Yushun; Sheng, Qin An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations. (English) Zbl 1351.65098 Numer. Methods Partial Differ. Equations 32, No. 5, 1485-1504 (2016). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65P10 65M20 65M06 65M60 35Q55 65M15 37M15 PDFBibTeX XMLCite \textit{H. Li} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1485--1504 (2016; Zbl 1351.65098) Full Text: DOI
Besse, C.; Ehrhardt, M.; Lacroix-Violet, I. Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation. (English) Zbl 1348.65124 Numer. Methods Partial Differ. Equations 32, No. 5, 1455-1484 (2016). MSC: 65M20 35Q53 65M06 PDFBibTeX XMLCite \textit{C. Besse} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1455--1484 (2016; Zbl 1348.65124) Full Text: DOI HAL
Bürger, Raimund; Mulet, Pep; Rubio, Lihki Polynomial viscosity methods for multispecies kinematic flow models. (English) Zbl 1407.65140 Numer. Methods Partial Differ. Equations 32, No. 4, 1265-1288 (2016). MSC: 65M08 76T20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Numer. Methods Partial Differ. Equations 32, No. 4, 1265--1288 (2016; Zbl 1407.65140) Full Text: DOI
Han, Daozhi; Wang, Xiaoming Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. (English) Zbl 1381.76170 Numer. Methods Partial Differ. Equations 32, No. 3, 936-954 (2016). MSC: 76M10 65M60 76S05 PDFBibTeX XMLCite \textit{D. Han} and \textit{X. Wang}, Numer. Methods Partial Differ. Equations 32, No. 3, 936--954 (2016; Zbl 1381.76170) Full Text: DOI
Wang, Cheng; He, Mingyan; Sun, Pengtao A new combined finite element-upwind finite volume method for convection-dominated diffusion problems. (English) Zbl 1339.65208 Numer. Methods Partial Differ. Equations 32, No. 3, 799-818 (2016). MSC: 65N08 35J25 65N30 65N12 PDFBibTeX XMLCite \textit{C. Wang} et al., Numer. Methods Partial Differ. Equations 32, No. 3, 799--818 (2016; Zbl 1339.65208) Full Text: DOI
Vidden, Chad N. A new approach for admissibility analysis of the direct discontinuous Galerkin method through Hilbert matrices. (English) Zbl 1345.65057 Numer. Methods Partial Differ. Equations 32, No. 1, 350-367 (2016). Reviewer: Michael Jung (Dresden) MSC: 65M60 65M20 65M12 35K05 PDFBibTeX XMLCite \textit{C. N. Vidden}, Numer. Methods Partial Differ. Equations 32, No. 1, 350--367 (2016; Zbl 1345.65057) Full Text: DOI
Zhao, Xiaofei On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. (English) Zbl 1345.65056 Numer. Methods Partial Differ. Equations 32, No. 1, 266-291 (2016). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M15 65M06 65M70 65M12 35Q40 PDFBibTeX XMLCite \textit{X. Zhao}, Numer. Methods Partial Differ. Equations 32, No. 1, 266--291 (2016; Zbl 1345.65056) Full Text: DOI
Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. (English) Zbl 1339.65107 Numer. Methods Partial Differ. Equations 32, No. 1, 121-140 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{X. Cui} et al., Numer. Methods Partial Differ. Equations 32, No. 1, 121--140 (2016; Zbl 1339.65107) Full Text: DOI
Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao Finite element method to fluid-solid interaction problems with unbounded periodic interfaces. (English) Zbl 1381.74195 Numer. Methods Partial Differ. Equations 32, No. 1, 5-35 (2016). MSC: 74S05 76M10 65N30 74B05 74F10 76Q05 PDFBibTeX XMLCite \textit{G. Hu} et al., Numer. Methods Partial Differ. Equations 32, No. 1, 5--35 (2016; Zbl 1381.74195) Full Text: DOI
Yang, Zhiqiang; Cui, Junzhi; Wang, Ziqiang; Zhang, Yang Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials. (English) Zbl 1381.74215 Numer. Methods Partial Differ. Equations 32, No. 2, 510-530 (2016). MSC: 74S05 80M10 74F10 80A20 65M60 65M15 PDFBibTeX XMLCite \textit{Z. Yang} et al., Numer. Methods Partial Differ. Equations 32, No. 2, 510--530 (2016; Zbl 1381.74215) Full Text: DOI
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren Pressure-based adaption indicator for compressible Euler equations. (English) Zbl 1331.76078 Numer. Methods Partial Differ. Equations 31, No. 6, 1844-1874 (2015). MSC: 76M12 65M08 76N15 35Q31 PDFBibTeX XMLCite \textit{J. Dewar} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 1844--1874 (2015; Zbl 1331.76078) Full Text: DOI
Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. (English) Zbl 1339.65125 Numer. Methods Partial Differ. Equations 31, No. 6, 1814-1843 (2015). Reviewer: Jiguang Sun (Dover) MSC: 65M06 35Q55 65M12 PDFBibTeX XMLCite \textit{L. Kong} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 1814--1843 (2015; Zbl 1339.65125) Full Text: DOI
Wang, Zhoufeng; Zhang, Yunzhang A posterior error estimates for the nonlinear grating problem with transparent boundary condition. (English) Zbl 1331.78029 Numer. Methods Partial Differ. Equations 31, No. 4, 1101-1118 (2015). MSC: 78M10 78A45 78A60 35Q61 65N15 65N50 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Y. Zhang}, Numer. Methods Partial Differ. Equations 31, No. 4, 1101--1118 (2015; Zbl 1331.78029) Full Text: DOI
Taleei, Ameneh; Dehghan, Mehdi An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions. (English) Zbl 1326.65165 Numer. Methods Partial Differ. Equations 31, No. 4, 1031-1053 (2015). MSC: 65N35 35J25 35J40 74B05 74S25 PDFBibTeX XMLCite \textit{A. Taleei} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 31, No. 4, 1031--1053 (2015; Zbl 1326.65165) Full Text: DOI
Abbas, Ali A fourth-order Hermitian box-scheme with fast solver for the Poisson problem in a cube. (English) Zbl 1316.65094 Numer. Methods Partial Differ. Equations 31, No. 3, 609-629 (2015). MSC: 65N08 35J05 65T50 65Y20 PDFBibTeX XMLCite \textit{A. Abbas}, Numer. Methods Partial Differ. Equations 31, No. 3, 609--629 (2015; Zbl 1316.65094) Full Text: DOI
Lechleiter, Armin; Monk, Peter The time-domain Lippmann-Schwinger equation and convolution quadrature. (English) Zbl 1309.65160 Numer. Methods Partial Differ. Equations 31, No. 2, 517-540 (2015). MSC: 65R20 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{P. Monk}, Numer. Methods Partial Differ. Equations 31, No. 2, 517--540 (2015; Zbl 1309.65160) Full Text: DOI arXiv
Elliott, Charles M.; Venkataraman, Chandrasekhar Error analysis for an ALE evolving surface finite element method. (English) Zbl 1318.65063 Numer. Methods Partial Differ. Equations 31, No. 2, 459-499 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K20 65M20 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{C. Venkataraman}, Numer. Methods Partial Differ. Equations 31, No. 2, 459--499 (2015; Zbl 1318.65063) Full Text: DOI arXiv
Chen, Jie; Huang, Yunqing; Wang, Desheng; Xie, Xiaoping Adaptive tetrahedral mesh generation by constrained centroidal Voronoi-Delaunay tessellations for finite element methods. (English) Zbl 1309.65144 Numer. Methods Partial Differ. Equations 30, No. 5, 1633-1653 (2014). MSC: 65N50 35J25 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{J. Chen} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1633--1653 (2014; Zbl 1309.65144) Full Text: DOI
Tian, WenYi; Deng, Weihua; Wu, Yujiang Polynomial spectral collocation method for space fractional advection-diffusion equation. (English) Zbl 1287.65093 Numer. Methods Partial Differ. Equations 30, No. 2, 514-535 (2014). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K20 35R11 35K55 65M12 PDFBibTeX XMLCite \textit{W. Tian} et al., Numer. Methods Partial Differ. Equations 30, No. 2, 514--535 (2014; Zbl 1287.65093) Full Text: DOI arXiv