Li, Buyang Parametric finite element approximations of curvature flows. (Chinese. English summary) Zbl 1513.65027 Math. Numer. Sin. 44, No. 2, 145-162 (2022). MSC: 65D17 35K65 53A70 53E10 65D99 65M60 65M12 65N30 PDFBibTeX XMLCite \textit{B. Li}, Math. Numer. Sin. 44, No. 2, 145--162 (2022; Zbl 1513.65027) Full Text: DOI
Liu, Jiacheng; Chen, Xianjin; Duan, Yali; Li, Zhaoxiang Improved partial Newton-correction method and its applications in finding multiple solutions of nonlinear partial differential equations. (Chinese. English summary) Zbl 1513.35153 Math. Numer. Sin. 44, No. 1, 119-136 (2022). MSC: 35J15 35A25 65N99 PDFBibTeX XMLCite \textit{J. Liu} et al., Math. Numer. Sin. 44, No. 1, 119--136 (2022; Zbl 1513.35153) Full Text: DOI
Zhang, Fayong; An, Xiaoli A conservative finite difference scheme for nonlinear Schrödinger equation involving quintic terms. (Chinese. English summary) Zbl 1513.65321 Math. Numer. Sin. 44, No. 1, 63-70 (2022). MSC: 65M06 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. An}, Math. Numer. Sin. 44, No. 1, 63--70 (2022; Zbl 1513.65321) Full Text: DOI
Wang, Ran; Zhang, Huai; Kang, Tong \(A\)-\(\phi\) decoupled finite element scheme for eddy current equations with a nonlinear boundary condition. (Chinese. English summary) Zbl 1513.65387 Math. Numer. Sin. 43, No. 1, 33-55 (2021). MSC: 65M60 65M15 78M10 35Q60 PDFBibTeX XMLCite \textit{R. Wang} et al., Math. Numer. Sin. 43, No. 1, 33--55 (2021; Zbl 1513.65387) Full Text: DOI
Fang, Mingjuan; Yang, Ying; Tang, Ming Residual-type a posteriori error estimates for steady-state Poisson-Nernst-Planck equations. (Chinese. English summary) Zbl 1513.65462 Math. Numer. Sin. 43, No. 1, 17-32 (2021). MSC: 65N30 65N15 65N50 35Q82 PDFBibTeX XMLCite \textit{M. Fang} et al., Math. Numer. Sin. 43, No. 1, 17--32 (2021; Zbl 1513.65462) Full Text: DOI
Tang, Yuelong; Hua, Yuchun Superconvergence analysis of splitting positive definite mixed finite element for elliptic optimal control problem. (Chinese. English summary) Zbl 1513.35186 Math. Numer. Sin. 43, No. 4, 506-515 (2021). MSC: 35J20 49J20 65N30 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, Math. Numer. Sin. 43, No. 4, 506--515 (2021; Zbl 1513.35186) Full Text: DOI
Tang, Huazhong Some discussions on entropy stable schemes for scalar hyperbolic conservation laws. (Chinese. English summary) Zbl 1513.65308 Math. Numer. Sin. 43, No. 4, 413-425 (2021). MSC: 65M06 65N06 65M12 76M20 35L65 PDFBibTeX XMLCite \textit{H. Tang}, Math. Numer. Sin. 43, No. 4, 413--425 (2021; Zbl 1513.65308) Full Text: DOI
Xiaoting, Gan Fitted finite volume method for pricing European options under regime-swithching Merton’s jump-diffusion processes. (Chinese. English summary) Zbl 1513.91103 Math. Numer. Sin. 43, No. 3, 337-353 (2021). MSC: 91G60 65M08 65M15 65M06 65N08 91G20 35R09 PDFBibTeX XMLCite \textit{G. Xiaoting}, Math. Numer. Sin. 43, No. 3, 337--353 (2021; Zbl 1513.91103) Full Text: DOI
Mingqing, Chen; Xiaoping, Xie Weak Galerkin finite element methods for stochastic linear plane elasticity equations. (Chinese. English summary) Zbl 1513.65468 Math. Numer. Sin. 43, No. 3, 279-300 (2021). MSC: 65N30 65N12 60H15 65N15 74B10 35Q74 35R60 PDFBibTeX XMLCite \textit{C. Mingqing} and \textit{X. Xiaoping}, Math. Numer. Sin. 43, No. 3, 279--300 (2021; Zbl 1513.65468) Full Text: DOI
Tang, Lingyan; Guo, Jia; Song, Songhe Bound-preserving weighted compact nonlinear schemes for scalar conservation laws with stiff source terms. (Chinese. English summary) Zbl 1488.65551 Math. Numer. Sin. 43, No. 2, 241-252 (2021). MSC: 65M99 65L06 65L04 35L65 76V05 35Q35 PDFBibTeX XMLCite \textit{L. Tang} et al., Math. Numer. Sin. 43, No. 2, 241--252 (2021; Zbl 1488.65551) Full Text: DOI
Qiu, Zeshan; Cao, Xuenian Crank-Nicolson quasi-compact schemes for one-sided normalized tempered fractional diffusion equations with drift. (Chinese. English summary) Zbl 1488.65277 Math. Numer. Sin. 43, No. 2, 210-226 (2021). MSC: 65M06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Qiu} and \textit{X. Cao}, Math. Numer. Sin. 43, No. 2, 210--226 (2021; Zbl 1488.65277) Full Text: DOI
Zeng, Yuping; Weng, Zhifeng; Hu, Hanzhang A priori and a posteriori error estimates of a WOPSIP DG method for a simplified frictional contact problem. (Chinese. English summary) Zbl 1488.65671 Math. Numer. Sin. 43, No. 2, 162-176 (2021). MSC: 65N30 65N15 35A23 74M10 74M15 35Q74 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Math. Numer. Sin. 43, No. 2, 162--176 (2021; Zbl 1488.65671) Full Text: DOI
Cheng, Juan; Shu, Chiwang High order Lagrangian schemes and their positivity-preserving property for compressible fluid flow. (Chinese. English summary) Zbl 1463.65261 Math. Numer. Sin. 42, No. 3, 261-278 (2020). MSC: 65M08 65M60 76M12 76M10 76N10 35Q31 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{C. Shu}, Math. Numer. Sin. 42, No. 3, 261--278 (2020; Zbl 1463.65261)
Zhang, Ran Weak Galerkin finite element method for linear elasticity problems. (Chinese. English summary) Zbl 1463.65316 Math. Numer. Sin. 42, No. 1, 1-17 (2020). MSC: 65M60 65N30 74S05 74B10 35Q74 PDFBibTeX XMLCite \textit{R. Zhang}, Math. Numer. Sin. 42, No. 1, 1--17 (2020; Zbl 1463.65316)
Liu, Ziyuan; Liang, Jiarui; Qian, Xu; Song, Songhe A generalized multi-symplectic method for stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise. (Chinese. English summary) Zbl 1449.65351 Math. Numer. Sin. 41, No. 4, 440-452 (2019). MSC: 65P10 65C30 35Q55 PDFBibTeX XMLCite \textit{Z. Liu} et al., Math. Numer. Sin. 41, No. 4, 440--452 (2019; Zbl 1449.65351)
Fu, Yaoyao; Cao, Liqun The multiscale algorithms for the Maxwell-Dirac system in matrix form with quadratic correction. (Chinese. English summary) Zbl 1449.65178 Math. Numer. Sin. 41, No. 4, 419-439 (2019). MSC: 65M06 65M60 35C20 78M20 78M40 78M35 35Q41 35Q61 35R05 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, Math. Numer. Sin. 41, No. 4, 419--439 (2019; Zbl 1449.65178)
Hu, Dongdong; Cao, Xuenian; Jiang, Huiling The implicit midpoint method for two-side space fractional diffusion equation with a nonlinear source term. (Chinese. English summary) Zbl 1449.65182 Math. Numer. Sin. 41, No. 3, 295-307 (2019). MSC: 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{D. Hu} et al., Math. Numer. Sin. 41, No. 3, 295--307 (2019; Zbl 1449.65182)
Sheng, Xiulan; Zhao, Runmiao; Wu, Hongwei A high order difference scheme for two-dimensional linear hyperbolic equation with Neumann boundary conditions. (Chinese. English summary) Zbl 1449.65199 Math. Numer. Sin. 41, No. 3, 266-294 (2019). MSC: 65M06 65M12 65N06 35L25 PDFBibTeX XMLCite \textit{X. Sheng} et al., Math. Numer. Sin. 41, No. 3, 266--294 (2019; Zbl 1449.65199)
Wang, Junjun; Li, Qingfu; Shi, Dongyang Superconvergence analysis of a mixed finite element method for nonlinear parabolic equation. (Chinese. English summary) Zbl 1438.65298 Math. Numer. Sin. 41, No. 2, 191-211 (2019). MSC: 65N30 65N12 35K55 65M22 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Numer. Sin. 41, No. 2, 191--211 (2019; Zbl 1438.65298)
Yang, Jinping; Li, Zhiqiang; Yan, Yubin A new numerical method for solving Riesz space-fractional diffusion equation. (Chinese. English summary) Zbl 1438.65197 Math. Numer. Sin. 41, No. 2, 170-190 (2019). MSC: 65M06 65M12 26A33 35R11 65M15 PDFBibTeX XMLCite \textit{J. Yang} et al., Math. Numer. Sin. 41, No. 2, 170--190 (2019; Zbl 1438.65197)
Wang, Zhiqiang; Wen, Liping; Zhu, Zhenmin Finite difference method for time delay diffusion-wave fractional differential equations. (Chinese. English summary) Zbl 1438.65196 Math. Numer. Sin. 41, No. 1, 82-90 (2019). MSC: 65M06 65M12 26A33 35R11 35R07 PDFBibTeX XMLCite \textit{Z. Wang} et al., Math. Numer. Sin. 41, No. 1, 82--90 (2019; Zbl 1438.65196)
Guo, Feng A local energy conservative scheme for nonlinear coupled Schrödinger-KdV equations. (Chinese. English summary) Zbl 1424.65128 Math. Numer. Sin. 40, No. 3, 313-324 (2018). MSC: 65M06 35L65 65P10 35Q53 35Q55 PDFBibTeX XMLCite \textit{F. Guo}, Math. Numer. Sin. 40, No. 3, 313--324 (2018; Zbl 1424.65128)
Zheng, Chunxiong Global geometrical optics approximation to the Schrödinger equation. (Chinese. English summary) Zbl 1413.65349 Math. Numer. Sin. 40, No. 2, 214-226 (2018). MSC: 65M25 53D12 78A05 35Q41 PDFBibTeX XMLCite \textit{C. Zheng}, Math. Numer. Sin. 40, No. 2, 214--226 (2018; Zbl 1413.65349)
Wu, Haijun FEM and CIP-FEM for Helmholtz equation with high wave number. (Chinese. English summary) Zbl 1413.65434 Math. Numer. Sin. 40, No. 2, 191-213 (2018). MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{H. Wu}, Math. Numer. Sin. 40, No. 2, 191--213 (2018; Zbl 1413.65434)
Wang, Kun; Zhang, Yang; Guo, Rui Finite difference methods for the Helmholtz equation: a brief review. (Chinese. English summary) Zbl 1413.65406 Math. Numer. Sin. 40, No. 2, 171-190 (2018). MSC: 65N06 65N15 35J05 PDFBibTeX XMLCite \textit{K. Wang} et al., Math. Numer. Sin. 40, No. 2, 171--190 (2018; Zbl 1413.65406)
Du, Yu Superconvergence analysis for the Helmholtz equation with high wave number. (Chinese. English summary) Zbl 1413.65410 Math. Numer. Sin. 40, No. 2, 149-170 (2018). MSC: 65N12 65N15 65N30 65B05 35J05 PDFBibTeX XMLCite \textit{Y. Du}, Math. Numer. Sin. 40, No. 2, 149--170 (2018; Zbl 1413.65410)
Liu, Yongxiang; Xu, Xuejun Robin-type domain decomposition methods for the Helmholtz problem. (Chinese. English summary) Zbl 1413.65446 Math. Numer. Sin. 40, No. 2, 135-148 (2018). MSC: 65N55 35J05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Xu}, Math. Numer. Sin. 40, No. 2, 135--148 (2018; Zbl 1413.65446)
Lu, Peipei; Xu, Xuejun Multilevel methods for the wave problems with high wave number. (Chinese. English summary) Zbl 1413.65427 Math. Numer. Sin. 40, No. 2, 119-134 (2018). MSC: 65N30 65N12 65N15 65N55 35J05 PDFBibTeX XMLCite \textit{P. Lu} and \textit{X. Xu}, Math. Numer. Sin. 40, No. 2, 119--134 (2018; Zbl 1413.65427)
Liu, Xiaohui; Cao, Jianwen; Zhang, Ya The iso-spectral problem, revisited in planar case. (Chinese. English summary) Zbl 1413.65418 Math. Numer. Sin. 40, No. 1, 63-84 (2018). MSC: 65N25 35P99 58J50 68W30 65D17 PDFBibTeX XMLCite \textit{X. Liu} et al., Math. Numer. Sin. 40, No. 1, 63--84 (2018; Zbl 1413.65418)
Zhang, Chunyu; Chen, Gong; Wang, Yizheng; Wang, Ye Fast solution of parameterized partial differential equations by using reduced basis finite element method. (Chinese. English summary) Zbl 1399.65344 Math. Numer. Sin. 39, No. 4, 431-444 (2017). MSC: 65N30 35K05 80A20 82D75 PDFBibTeX XMLCite \textit{C. Zhang} et al., Math. Numer. Sin. 39, No. 4, 431--444 (2017; Zbl 1399.65344)
Gu, Zhendong; Sun, Liying Series expansion method for weakly singular Volterra integro-differential equations. (Chinese. English summary) Zbl 1399.65280 Math. Numer. Sin. 39, No. 4, 351-362 (2017). MSC: 65M70 65R20 35R09 45K05 65M12 PDFBibTeX XMLCite \textit{Z. Gu} and \textit{L. Sun}, Math. Numer. Sin. 39, No. 4, 351--362 (2017; Zbl 1399.65280)
Tang, Lingyan; Guo, Yunrui; Song, Songhe A class of third order finite volume scheme satisfying the local maximum principle on unstructured meshes. (Chinese. English summary) Zbl 1399.65199 Math. Numer. Sin. 39, No. 3, 309-320 (2017). MSC: 65M08 65M12 35L65 65K05 35B25 PDFBibTeX XMLCite \textit{L. Tang} et al., Math. Numer. Sin. 39, No. 3, 309--320 (2017; Zbl 1399.65199)
Cheng, Qiang; Xiong, Xiangtuan An iterative method for an inverse source problem of a time-fractional diffusion equation. (Chinese. English summary) Zbl 1399.65224 Math. Numer. Sin. 39, No. 3, 295-308 (2017). MSC: 65M32 65M30 35R11 76R50 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{X. Xiong}, Math. Numer. Sin. 39, No. 3, 295--308 (2017; Zbl 1399.65224)
Li, Hong; Du, Chunyao; Zhao, Zhihui Continuous space-time finite element method for reaction diffusion equation. (Chinese. English summary) Zbl 1399.65256 Math. Numer. Sin. 39, No. 2, 167-178 (2017). MSC: 65M60 35K57 65M12 PDFBibTeX XMLCite \textit{H. Li} et al., Math. Numer. Sin. 39, No. 2, 167--178 (2017; Zbl 1399.65256)
Li, Xiaocui; Yang, Xiaoyuan; Zhang, Yinghan Semidiscrete finite element approximation of stochastic non-selfadjoint wave equation. (Chinese. English summary) Zbl 1399.65258 Math. Numer. Sin. 39, No. 1, 42-58 (2017). MSC: 65M60 65C30 65M15 65M12 35R60 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Numer. Sin. 39, No. 1, 42--58 (2017; Zbl 1399.65258)
Si, Hongying; Wei, Xianyong; Chen, Shaochun A generalized finite element method for second order elliptic problems. (Chinese. English summary) Zbl 1374.65195 Math. Numer. Sin. 38, No. 4, 405-411 (2016). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{H. Si} et al., Math. Numer. Sin. 38, No. 4, 405--411 (2016; Zbl 1374.65195)
Wang, Tao; Liu, Tiegang A consistent fourth-order compact scheme for solving convection-diffusion equation. (Chinese. English summary) Zbl 1374.65144 Math. Numer. Sin. 38, No. 4, 391-404 (2016). MSC: 65M06 65M12 35K20 35Q30 65M15 PDFBibTeX XMLCite \textit{T. Wang} and \textit{T. Liu}, Math. Numer. Sin. 38, No. 4, 391--404 (2016; Zbl 1374.65144)
Zhao, Zhihui; Li, Hong; Luo, Zhendong A space-time continuous finite element method for Sobolev equation. (Chinese. English summary) Zbl 1374.65177 Math. Numer. Sin. 38, No. 4, 341-353 (2016). MSC: 65M60 35L20 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Math. Numer. Sin. 38, No. 4, 341--353 (2016; Zbl 1374.65177)
Zheng, Quan; Gao, Yue; Qin, Feng The finite element method with a modified DtN boundary condition for exterior problems of the Helmholtz equation. (Chinese. English summary) Zbl 1363.65204 Math. Numer. Sin. 38, No. 2, 200-211 (2016). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{Q. Zheng} et al., Math. Numer. Sin. 38, No. 2, 200--211 (2016; Zbl 1363.65204)
Liu, Jincun; Li, Hong; Liu, Yang; He, Siriguleng Discontinuous space-time finite element method for the system of nonlinear fractional reaction-diffusion equations. (Chinese. English summary) Zbl 1363.65166 Math. Numer. Sin. 38, No. 2, 143-160 (2016). MSC: 65M60 65M12 65M15 35K57 35R11 PDFBibTeX XMLCite \textit{J. Liu} et al., Math. Numer. Sin. 38, No. 2, 143--160 (2016; Zbl 1363.65166)
Shi, Dongyang; Zhang, Houchao; Wang, Yu Superconvergence analysis of an expanded mixed finite element method for nonlinear fourth-order hyperbolic equation. (Chinese. English summary) Zbl 1349.65484 Math. Numer. Sin. 38, No. 1, 65-82 (2016). MSC: 65M60 65M12 35L75 65M15 65M20 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 38, No. 1, 65--82 (2016; Zbl 1349.65484)
Lin, Shimin; Xu, Chuanju Theoretical and numerical investigation of fractional differential equations. (Chinese. English summary) Zbl 1349.35400 Math. Numer. Sin. 38, No. 1, 1-24 (2016). MSC: 35R11 65M99 65N99 PDFBibTeX XMLCite \textit{S. Lin} and \textit{C. Xu}, Math. Numer. Sin. 38, No. 1, 1--24 (2016; Zbl 1349.35400)
Li, Houbiao; Zhong, Erjie A note on semi-discrete difference schemes of heat conduction equations. (Chinese. English summary) Zbl 1349.65397 Math. Numer. Sin. 37, No. 4, 401-414 (2015). MSC: 65M20 65M06 35K05 65M12 PDFBibTeX XMLCite \textit{H. Li} and \textit{E. Zhong}, Math. Numer. Sin. 37, No. 4, 401--414 (2015; Zbl 1349.65397)
Yue, Jingyan; Yuan, Guangwei; Sheng, Zhiqiang A new monotone finite volume scheme for diffusion equations on polygonal meshes. (Chinese. English summary) Zbl 1340.65189 Math. Numer. Sin. 37, No. 3, 316-336 (2015). MSC: 65M08 65M50 35K05 PDFBibTeX XMLCite \textit{J. Yue} et al., Math. Numer. Sin. 37, No. 3, 316--336 (2015; Zbl 1340.65189)
Song, Peng; Cheng, Juan A construction of geometric partial differential equations in computational geometry spherical-symmetry-preserving discrete ordinates method for the radiation transport equation in two-dimension cylindrical coordinates. (Chinese. English summary) Zbl 1340.65242 Math. Numer. Sin. 37, No. 3, 299-315 (2015). MSC: 65M99 85A25 82C70 78A40 35Q82 PDFBibTeX XMLCite \textit{P. Song} and \textit{J. Cheng}, Math. Numer. Sin. 37, No. 3, 299--315 (2015; Zbl 1340.65242)
Hang, Xudeng Stability of the Du Fort-Frankel scheme and the parallel DFF-I scheme. (Chinese. English summary) Zbl 1340.65245 Math. Numer. Sin. 37, No. 3, 273-285 (2015). MSC: 65N12 65N06 65Y05 35J25 PDFBibTeX XMLCite \textit{X. Hang}, Math. Numer. Sin. 37, No. 3, 273--285 (2015; Zbl 1340.65245)
Liu, Huipo An error estimate and its adaptive algorithm for the neutron transport equations. (Chinese. English summary) Zbl 1340.65249 Math. Numer. Sin. 37, No. 3, 264-272 (2015). MSC: 65N15 65N30 82D75 35Q82 PDFBibTeX XMLCite \textit{H. Liu}, Math. Numer. Sin. 37, No. 3, 264--272 (2015; Zbl 1340.65249)
Cui, Xia; Yue, Jingyan Property analysis and quick solutions for nonlinear discrete schemes for conservative diffusion equation. (Chinese. English summary) Zbl 1340.65167 Math. Numer. Sin. 37, No. 3, 227-246 (2015). MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{X. Cui} and \textit{J. Yue}, Math. Numer. Sin. 37, No. 3, 227--246 (2015; Zbl 1340.65167)
Geng, Xiaoyue; Liu, Xiaohua A high accuracy implicit compact difference method for solving the generalized sine-Gordon equations. (Chinese. English summary) Zbl 1340.65169 Math. Numer. Sin. 37, No. 2, 199-212 (2015). MSC: 65M06 35Q40 65M12 PDFBibTeX XMLCite \textit{X. Geng} and \textit{X. Liu}, Math. Numer. Sin. 37, No. 2, 199--212 (2015; Zbl 1340.65169)
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1340.65205 Math. Numer. Sin. 37, No. 2, 162-178 (2015). MSC: 65M20 65M60 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Math. Numer. Sin. 37, No. 2, 162--178 (2015; Zbl 1340.65205)
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. (Chinese. English summary) Zbl 1340.65202 Math. Numer. Sin. 37, No. 2, 148-161 (2015). MSC: 65M20 65M60 65M15 35Q40 65M50 65M12 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 37, No. 2, 148--161 (2015; Zbl 1340.65202)
Zhao, Xin; Sun, Jianqiang; He, Xuejun A high order preserving energy-dissipating method of the Cahn-Hilliard equation. (Chinese. English summary) Zbl 1340.65239 Math. Numer. Sin. 37, No. 2, 137-147 (2015). MSC: 65M70 35Q35 PDFBibTeX XMLCite \textit{X. Zhao} et al., Math. Numer. Sin. 37, No. 2, 137--147 (2015; Zbl 1340.65239)
Meng, Wenhui; Wang, Liantang Analysis of the convergence rates for the truncation errors of periodic Green’s function of Helmholtz equation and its partial derivatives. (Chinese. English summary) Zbl 1340.65281 Math. Numer. Sin. 37, No. 2, 123-136 (2015). MSC: 65N38 35J05 65N12 PDFBibTeX XMLCite \textit{W. Meng} and \textit{L. Wang}, Math. Numer. Sin. 37, No. 2, 123--136 (2015; Zbl 1340.65281)
Yin, Yunhui; Zhu, Peng; Yang, Yubo Convergence analysis of the streamline-diffusion finite element on graded meshes. (Chinese. English summary) Zbl 1340.65247 Math. Numer. Sin. 37, No. 1, 83-91 (2015). MSC: 65N12 65N50 65N30 35B25 35J25 PDFBibTeX XMLCite \textit{Y. Yin} et al., Math. Numer. Sin. 37, No. 1, 83--91 (2015; Zbl 1340.65247)
Lin, Chaoying; Huang, Langyang; Zhao, Yue; Zhu, Beibei A local energy conservative scheme for the fourth-order Schrödinger equation with cubic nonlinear term. (Chinese. English summary) Zbl 1340.65171 Math. Numer. Sin. 37, No. 1, 103-112 (2015). MSC: 65M06 35Q55 65M12 PDFBibTeX XMLCite \textit{C. Lin} et al., Math. Numer. Sin. 37, No. 1, 103--112 (2015; Zbl 1340.65171)
Yang, Yubo; Zhu, Peng; Yin, Yunhui A uniform analysis of the NIPG method on graded meshes for singularly perturbed convection-diffusion problems. (Chinese. English summary) Zbl 1324.65146 Math. Numer. Sin. 36, No. 4, 437-448 (2014). MSC: 65N30 65N12 35B25 35J25 65N15 PDFBibTeX XMLCite \textit{Y. Yang} et al., Math. Numer. Sin. 36, No. 4, 437--448 (2014; Zbl 1324.65146)
Shi, Dongyang; Shi, Yanhua; Wang, Fenling Supercloseness and optimal order error estimates of \(H^1\)-Galerkin mixed finite element method for fourth-order parabolic equation. (Chinese. English summary) Zbl 1324.65124 Math. Numer. Sin. 36, No. 4, 363-380 (2014). MSC: 65M60 35K25 65M20 65M15 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 36, No. 4, 363--380 (2014; Zbl 1324.65124)
Si, Hongying; Chen, Shaochun Petrov-Galerkin approximation of the semi-linear elliptic problems and the defect iteration. (Chinese. English summary) Zbl 1324.65142 Math. Numer. Sin. 36, No. 3, 316-324 (2014). MSC: 65N30 65N15 35J61 65N12 PDFBibTeX XMLCite \textit{H. Si} and \textit{S. Chen}, Math. Numer. Sin. 36, No. 3, 316--324 (2014; Zbl 1324.65142)
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. (Chinese. English summary) Zbl 1324.65125 Math. Numer. Sin. 36, No. 3, 245-256 (2014). MSC: 65M60 65M15 35Q40 65M12 65M20 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 36, No. 3, 245--256 (2014; Zbl 1324.65125)
Pan, Chunping On generalized dimensional splitting iterative methods for Stokes and linearized Navier-Stokes equations. (Chinese. English summary) Zbl 1324.65141 Math. Numer. Sin. 36, No. 3, 231-244 (2014). MSC: 65N30 65F10 65F50 35Q30 65N06 76D07 76D05 65N12 PDFBibTeX XMLCite \textit{C. Pan}, Math. Numer. Sin. 36, No. 3, 231--244 (2014; Zbl 1324.65141)
Jia, Xianzheng; Zhang, Dali; Li, Gongsheng; Chi, Guangsheng; Li, Huiling Numerical inversions of the fractional orders in the space-time fractional advection-diffusion equation with variable coefficients. (Chinese. English summary) Zbl 1313.65219 Math. Numer. Sin. 36, No. 2, 113-132 (2014). MSC: 65M06 65M12 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{X. Jia} et al., Math. Numer. Sin. 36, No. 2, 113--132 (2014; Zbl 1313.65219)
Li, Hao Chen; Sun, Jian Qiang; Luo, Si Yu An averaged vector field method for the nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1495.65138 Math. Numer. Sin. 35, No. 1, 59-66 (2013). MSC: 65M06 35Q55 PDFBibTeX XMLCite \textit{H. C. Li} et al., Math. Numer. Sin. 35, No. 1, 59--66 (2013; Zbl 1495.65138)
Chen, Hong Ru; Chen, Shao Chun \(C^0\)-nonconforming elements for a fourth-order elliptic problem. (Chinese. English summary) Zbl 1495.65208 Math. Numer. Sin. 35, No. 1, 21-30 (2013). MSC: 65N30 35J40 65N12 PDFBibTeX XMLCite \textit{H. R. Chen} and \textit{S. C. Chen}, Math. Numer. Sin. 35, No. 1, 21--30 (2013; Zbl 1495.65208)
An, Rong; Li, Yuan Augmented Lagrange iteration method for a fourth-order obstacle problem with gradient restriction. (Chinese. English summary) Zbl 1495.65094 Math. Numer. Sin. 35, No. 1, 11-20 (2013). MSC: 65K15 35J40 35J86 65N30 PDFBibTeX XMLCite \textit{R. An} and \textit{Y. Li}, Math. Numer. Sin. 35, No. 1, 11--20 (2013; Zbl 1495.65094)
Shi, Dongyang; Zhang, Yadong Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. (Chinese. English summary) Zbl 1299.65214 Math. Numer. Sin. 35, No. 4, 337-352 (2013). MSC: 65M12 65M60 35K20 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Zhang}, Math. Numer. Sin. 35, No. 4, 337--352 (2013; Zbl 1299.65214)
Zheng, Ning; Yin, Junfeng High order compact schemes for variable coefficient parabolic partial differential equations with non-smooth boundary conditions. (Chinese. English summary) Zbl 1299.65203 Math. Numer. Sin. 35, No. 3, 275-285 (2013). MSC: 65M06 65M50 35K20 91G60 PDFBibTeX XMLCite \textit{N. Zheng} and \textit{J. Yin}, Math. Numer. Sin. 35, No. 3, 275--285 (2013; Zbl 1299.65203)
Chen, Shaochun; Liang, Guangnan; Chen, Hongru The convergence of Zienkiewicz element under un-anisotropic grid. (Chinese. English summary) Zbl 1299.65261 Math. Numer. Sin. 35, No. 3, 271-274 (2013). MSC: 65N12 65N15 65N30 35J40 74K20 74S05 PDFBibTeX XMLCite \textit{S. Chen} et al., Math. Numer. Sin. 35, No. 3, 271--274 (2013; Zbl 1299.65261)
Shi, Dongyang; Wang, Fenling; Shi, Yanhua A general scheme of high accuracy analysis for an anisotropic \(EQ^{\mathrm{rot}}_1\) nonconforming element. (Chinese. English summary) Zbl 1299.65272 Math. Numer. Sin. 35, No. 3, 239-252 (2013). MSC: 65N30 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 35, No. 3, 239--252 (2013; Zbl 1299.65272)
Zhang, Yadong; Shi, Dongyang Convergence analysis of a new nonconforming mixed finite element for parabolic equations on anisotropic mesh. (Chinese. English summary) Zbl 1299.65240 Math. Numer. Sin. 35, No. 2, 171-180 (2013). MSC: 65M60 35K20 65M12 65M15 65M50 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{D. Shi}, Math. Numer. Sin. 35, No. 2, 171--180 (2013; Zbl 1299.65240)
Luo, Zhendong; Gao, Junqiang; Sun, Ping; An, Jing An extrapolation reduced-order FDS based on POD technique for a traffic flow model. (Chinese. English summary) Zbl 1299.65256 Math. Numer. Sin. 35, No. 2, 159-170 (2013). MSC: 65N06 90B20 35Q91 PDFBibTeX XMLCite \textit{Z. Luo} et al., Math. Numer. Sin. 35, No. 2, 159--170 (2013; Zbl 1299.65256)
Liu, Dongjie; Hui, Quanjing; Miao, Linlin Numerical methods for a kind of nonlinear exterior problem. (Chinese. English summary) Zbl 1289.65269 Math. Numer. Sin. 34, No. 4, 437-446 (2012). MSC: 65N38 65N30 65N55 35J60 65N15 PDFBibTeX XMLCite \textit{D. Liu} et al., Math. Numer. Sin. 34, No. 4, 437--446 (2012; Zbl 1289.65269)
Pan, Kejia; Hu, Hongling; Chen, Chuanmiao; Tang, Jingtian Parallelization of extrapolation cascadic multigrid method using OpenMP. (Chinese. English summary) Zbl 1289.65273 Math. Numer. Sin. 34, No. 4, 425-436 (2012). MSC: 65N55 65N30 65Y05 65Y20 35J25 PDFBibTeX XMLCite \textit{K. Pan} et al., Math. Numer. Sin. 34, No. 4, 425--436 (2012; Zbl 1289.65273)
Shi, Dongyang; Tang, Qili; Dong, Xiaojing Superconvergence analysis of \(H^1\)-Galerkin mixed finite element method for strongly damped wave equations. (Chinese. English summary) Zbl 1274.65259 Math. Numer. Sin. 34, No. 3, 317-328 (2012). MSC: 65M12 65M60 35L70 65M20 65M15 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 34, No. 3, 317--328 (2012; Zbl 1274.65259)
Liu, Yang; Li, Hong; He, Siriguleng; Gao, Wei; Fang, Zhichao An \(H^1\)-Galerkin mixed element method and numerical simulation for the fourth-order parabolic partial differential equations. (Chinese. English summary) Zbl 1274.65272 Math. Numer. Sin. 34, No. 3, 259-274 (2012). MSC: 65M60 65M12 65M15 35K30 65M20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Math. Numer. Sin. 34, No. 3, 259--274 (2012; Zbl 1274.65272)
Zhang, Tie; Li, Zheng A posteriori error analysis of discontinuous Galerkin methods for first order hyperbolic problems. (Chinese. English summary) Zbl 1265.65182 Math. Numer. Sin. 34, No. 2, 215-224 (2012). MSC: 65M15 35L02 65M60 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Z. Li}, Math. Numer. Sin. 34, No. 2, 215--224 (2012; Zbl 1265.65182)
Si, Hongying; Chen, Shaochun A new mixed finite element scheme for the biharmonic equation. (Chinese. English summary) Zbl 1265.65242 Math. Numer. Sin. 34, No. 2, 173-182 (2012). MSC: 65N30 65N12 35J40 PDFBibTeX XMLCite \textit{H. Si} and \textit{S. Chen}, Math. Numer. Sin. 34, No. 2, 173--182 (2012; Zbl 1265.65242)
Li, Hong; Luo, Zhendong; An, Jing; Sun, Ping A fully discrete finite volume element formulation for the Sobolev equation and numerical simulations. (Chinese. English summary) Zbl 1265.65221 Math. Numer. Sin. 34, No. 2, 163-172 (2012). MSC: 65N08 65N15 35J25 PDFBibTeX XMLCite \textit{H. Li} et al., Math. Numer. Sin. 34, No. 2, 163--172 (2012; Zbl 1265.65221)
Wang, Shuyan; Chen, Huanzhen An immersed finite element method based on Crouzeix-Raviart elements. (Chinese. English summary) Zbl 1265.65243 Math. Numer. Sin. 34, No. 2, 125-138 (2012). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{S. Wang} and \textit{H. Chen}, Math. Numer. Sin. 34, No. 2, 125--138 (2012; Zbl 1265.65243)
Li, Zhaoxiang; Yang, Zhonghua Computing multiple solutions to the boundary value problem of Henon equation. (Chinese. English summary) Zbl 1265.35102 Math. Numer. Sin. 34, No. 2, 113-124 (2012). MSC: 35J67 65N99 PDFBibTeX XMLCite \textit{Z. Li} and \textit{Z. Yang}, Math. Numer. Sin. 34, No. 2, 113--124 (2012; Zbl 1265.35102)
Liu, Qun; Sun, Ping; Luo, Zhendong A finite volume element formulation for two-dimensional soil solute transport problems. (Chinese. English summary) Zbl 1265.65169 Math. Numer. Sin. 34, No. 1, 57-67 (2012). MSC: 65M08 35L60 65M60 65M15 PDFBibTeX XMLCite \textit{Q. Liu} et al., Math. Numer. Sin. 34, No. 1, 57--67 (2012; Zbl 1265.65169)
Cui, Yuhuan; Qu, Jingguo; Chen, Yiming; Yang, Aimin A boundary element method for solving a kind of biharmonic equation. (Chinese. English summary) Zbl 1265.65247 Math. Numer. Sin. 34, No. 1, 49-56 (2012). MSC: 65N38 35J40 65N12 PDFBibTeX XMLCite \textit{Y. Cui} et al., Math. Numer. Sin. 34, No. 1, 49--56 (2012; Zbl 1265.65247)
Dou, Quanyu; Yin, Junfeng A generalized inexact Uzawa method for saddle point problems. (Chinese. English summary) Zbl 1265.65052 Math. Numer. Sin. 34, No. 1, 37-48 (2012). MSC: 65F10 65F25 65F50 35Q30 65N30 PDFBibTeX XMLCite \textit{Q. Dou} and \textit{J. Yin}, Math. Numer. Sin. 34, No. 1, 37--48 (2012; Zbl 1265.65052)
Sun, Jiachang Pre-transformed methods for eigen-problems. II: Eigen-structure for Laplace eigen-problem over arbitrary triangles. (Chinese. English summary) Zbl 1265.35231 Math. Numer. Sin. 34, No. 1, 1-24 (2012). MSC: 35P05 65N25 65N30 PDFBibTeX XMLCite \textit{J. Sun}, Math. Numer. Sin. 34, No. 1, 1--24 (2012; Zbl 1265.35231)
Fang, Zhichao; Li, Hong; Liu, Yang Mixed covolume methods for a fourth-order heavy damping wave equation. (Chinese. English summary) Zbl 1249.65183 Math. Numer. Sin. 33, No. 4, 409-422 (2011). MSC: 65M08 65M60 35L71 65M20 65M15 PDFBibTeX XMLCite \textit{Z. Fang} et al., Math. Numer. Sin. 33, No. 4, 409--422 (2011; Zbl 1249.65183)
Teng, Fei; Sun, Ping; Luo, Zhendong A reduced second order time accurate finite element formulation of time second order central difference based on POD approach for parabolic equations. (Chinese. English summary) Zbl 1249.65206 Math. Numer. Sin. 33, No. 4, 373-386 (2011). MSC: 65M60 65M06 35K20 65M15 PDFBibTeX XMLCite \textit{F. Teng} et al., Math. Numer. Sin. 33, No. 4, 373--386 (2011; Zbl 1249.65206)
Shi, Dongyang; Zhang, Feiran A class of low order nonconforming finite element analysis for the sine-Gordon equation. (Chinese. English summary) Zbl 1249.65203 Math. Numer. Sin. 33, No. 3, 289-297 (2011). MSC: 65M60 65M15 35Q40 PDFBibTeX XMLCite \textit{D. Shi} and \textit{F. Zhang}, Math. Numer. Sin. 33, No. 3, 289--297 (2011; Zbl 1249.65203)
Chang, Xiaorong; Feng, Minfu A nonconforming local projection stabilized method for the non-stationary convection diffusion problem. (Chinese. English summary) Zbl 1249.65194 Math. Numer. Sin. 33, No. 3, 275-288 (2011). MSC: 65M60 35K20 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{X. Chang} and \textit{M. Feng}, Math. Numer. Sin. 33, No. 3, 275--288 (2011; Zbl 1249.65194)
Zhao, Yongcheng; Chen, Shaochun The Newton’s method for anisotropic analysis of ACM element. (Chinese. English summary) Zbl 1249.65224 Math. Numer. Sin. 33, No. 3, 269-274 (2011). MSC: 65N15 65N30 74S05 35J25 35J40 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{S. Chen}, Math. Numer. Sin. 33, No. 3, 269--274 (2011; Zbl 1249.65224)
Wu, Conghai; Zhao, Ning WENO5 scheme based on a new smoothness indicator. (Chinese. English summary) Zbl 1249.65177 Math. Numer. Sin. 33, No. 3, 257-268 (2011). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{C. Wu} and \textit{N. Zhao}, Math. Numer. Sin. 33, No. 3, 257--268 (2011; Zbl 1249.65177)
Wang, Wu; Feng, Yangde; Chi, Xuebin Fast interpolation for the multilevel fast multipole method. (Chinese. English summary) Zbl 1240.65346 Math. Numer. Sin. 33, No. 2, 145-156 (2011). MSC: 65N38 65Y20 65T50 35J05 35Q61 PDFBibTeX XMLCite \textit{W. Wang} et al., Math. Numer. Sin. 33, No. 2, 145--156 (2011; Zbl 1240.65346)
Fan, Xinyue; Yang, Yidu The finite element interpolated correction method for nonselfadjoint elliptic eigenvalue problems. (Chinese. English summary) Zbl 1240.65323 Math. Numer. Sin. 33, No. 1, 15-24 (2011). MSC: 65N25 65N30 35P15 PDFBibTeX XMLCite \textit{X. Fan} and \textit{Y. Yang}, Math. Numer. Sin. 33, No. 1, 15--24 (2011; Zbl 1240.65323)
Wang, Junxian; Hu, Qiya; Shu, Shi A preconditioner based on nonoverlapping domain decomposition for solving \(H(\operatorname{curl})\) elliptic problem. (Chinese. English summary) Zbl 1240.65362 Math. Numer. Sin. 32, No. 4, 373-384 (2010). MSC: 65N55 65N30 35J25 65F08 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Numer. Sin. 32, No. 4, 373--384 (2010; Zbl 1240.65362)
Zhang, Guiming; Sun, Ping; Luo, Zhendong A simplified and stabilized second-order mixed finite element formulation based on bubble functions for second-order elliptic equations. (Chinese. English summary) Zbl 1240.65335 Math. Numer. Sin. 32, No. 3, 327-336 (2010). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{G. Zhang} et al., Math. Numer. Sin. 32, No. 3, 327--336 (2010; Zbl 1240.65335)
Zhu, Huajun; Chen, Yaming; Song, Songhe; Tang, Yifa Symplectic and multi-symplectic schemes for the two-dimensional nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1240.65369 Math. Numer. Sin. 32, No. 3, 315-326 (2010). MSC: 65P10 35Q55 37M15 65M06 65M08 37K10 PDFBibTeX XMLCite \textit{H. Zhu} et al., Math. Numer. Sin. 32, No. 3, 315--326 (2010; Zbl 1240.65369)
Zhang, Ya’nan; Wu, Hongwei Convergence of a difference scheme for a linear transport equation with discontinuous coefficient. (Chinese. English summary) Zbl 1240.65275 Math. Numer. Sin. 32, No. 3, 285-304 (2010). MSC: 65M12 65M06 35R05 35L45 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Wu}, Math. Numer. Sin. 32, No. 3, 285--304 (2010; Zbl 1240.65275)
Zhang, Tie; Feng, Nan; Shi, Datao A discontinuous finite element method with penalty for elliptic boundary value problems. (Chinese. English summary) Zbl 1240.65336 Math. Numer. Sin. 32, No. 3, 275-284 (2010). MSC: 65N30 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{T. Zhang} et al., Math. Numer. Sin. 32, No. 3, 275--284 (2010; Zbl 1240.65336)
Chen, Shaochun; Chen, Hongru New mixed element schemes for second order elliptic problem. (Chinese. English summary) Zbl 1224.65260 Math. Numer. Sin. 32, No. 2, 213-218 (2010). MSC: 65N30 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{S. Chen} and \textit{H. Chen}, Math. Numer. Sin. 32, No. 2, 213--218 (2010; Zbl 1224.65260)
Wang, Yingwei; Chen, Suqin; Wu, Xionghua The exponential time differencing and rational spectral collocation method for singularly perturbed Burgers-Huxley problem. (Chinese. English summary) Zbl 1224.65235 Math. Numer. Sin. 32, No. 2, 171-182 (2010). MSC: 65M70 65M06 35Q53 65L06 35B25 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Numer. Sin. 32, No. 2, 171--182 (2010; Zbl 1224.65235)
Liu, Yang; Li, Hong A new mixed finite element method for fourth-order heavy damping wave equation. (Chinese. English summary) Zbl 1224.65227 Math. Numer. Sin. 32, No. 2, 157-170 (2010). MSC: 65M60 35L76 65M15 65M12 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{H. Li}, Math. Numer. Sin. 32, No. 2, 157--170 (2010; Zbl 1224.65227)
Huang, Ping; Chen, Jinru A stabilized method of \(\mathrm{P}_1\) nonconforming quadrilateral finite element for solving Stokes problem. (Chinese. English summary) Zbl 1224.65267 Math. Numer. Sin. 32, No. 1, 81-96 (2010). MSC: 65N30 35Q30 76D07 76M10 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang} and \textit{J. Chen}, Math. Numer. Sin. 32, No. 1, 81--96 (2010; Zbl 1224.65267)